annotate Framework/Toolbox/LinearAlgebra.cpp @ 1002:341e68752354

dot product
author Benjamin Golinvaux <bgo@osimis.io>
date Fri, 20 Sep 2019 12:00:04 +0200
parents 1f74bc3459ba
children 6c159b8362ff 2d8ab34c8c91
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1 /**
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2 * Stone of Orthanc
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3 * Copyright (C) 2012-2016 Sebastien Jodogne, Medical Physics
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4 * Department, University Hospital of Liege, Belgium
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5 * Copyright (C) 2017-2019 Osimis S.A., Belgium
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6 *
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7 * This program is free software: you can redistribute it and/or
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8 * modify it under the terms of the GNU Affero General Public License
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9 * as published by the Free Software Foundation, either version 3 of
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10 * the License, or (at your option) any later version.
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11 *
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12 * This program is distributed in the hope that it will be useful, but
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13 * WITHOUT ANY WARRANTY; without even the implied warranty of
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14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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15 * Affero General Public License for more details.
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16 *
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17 * You should have received a copy of the GNU Affero General Public License
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18 * along with this program. If not, see <http://www.gnu.org/licenses/>.
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19 **/
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21
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22 #include "LinearAlgebra.h"
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24 #include "../StoneException.h"
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25
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26 #include <Core/Logging.h>
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27 #include <Core/OrthancException.h>
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28 #include <Core/Toolbox.h>
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29
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30 #include <boost/lexical_cast.hpp>
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31 #include <boost/numeric/ublas/lu.hpp>
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32
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33 #include <stdio.h>
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34 #include <iostream>
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35
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36 namespace OrthancStone
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37 {
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38 namespace LinearAlgebra
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39 {
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40 void Print(const Vector& v)
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41 {
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42 for (size_t i = 0; i < v.size(); i++)
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43 {
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44 printf("%g\n", v[i]);
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45 //printf("%8.2f\n", v[i]);
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46 }
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47 printf("\n");
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48 }
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49
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50
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51 void Print(const Matrix& m)
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52 {
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53 for (size_t i = 0; i < m.size1(); i++)
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54 {
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55 for (size_t j = 0; j < m.size2(); j++)
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56 {
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57 printf("%g ", m(i,j));
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58 //printf("%8.2f ", m(i,j));
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59 }
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60 printf("\n");
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61 }
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62 printf("\n");
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63 }
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64
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65
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66 bool ParseVector(Vector& target,
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67 const std::string& value)
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68 {
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69 std::vector<std::string> items;
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70 Orthanc::Toolbox::TokenizeString(items, Orthanc::Toolbox::StripSpaces(value), '\\');
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71
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72 target.resize(items.size());
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73
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74 for (size_t i = 0; i < items.size(); i++)
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75 {
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76 /**
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77 * We try and avoid the use of "boost::lexical_cast<>" here,
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78 * as it is very slow. As we are parsing many doubles, we
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79 * prefer to use the standard "std::stod" function if
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80 * available: http://www.cplusplus.com/reference/string/stod/
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81 **/
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82
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83 #if __cplusplus >= 201103L // Is C++11 enabled?
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84 try
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85 {
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86 target[i] = std::stod(items[i]);
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87 }
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88 catch (std::exception&)
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89 {
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90 target.clear();
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91 return false;
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92 }
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93 #else // Fallback implementation using Boost
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94 try
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95 {
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96 target[i] = boost::lexical_cast<double>(items[i]);
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97 }
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98 catch (boost::bad_lexical_cast&)
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99 {
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100 target.clear();
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101 return false;
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102 }
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103 #endif
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104 }
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105
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106 return true;
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107 }
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108
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109
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110 bool ParseVector(Vector& target,
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111 const Orthanc::DicomMap& dataset,
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112 const Orthanc::DicomTag& tag)
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113 {
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114 std::string value;
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115 return (dataset.LookupStringValue(value, tag, false) &&
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116 ParseVector(target, value));
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117 }
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118
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119
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120 void NormalizeVector(Vector& u)
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121 {
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122 double norm = boost::numeric::ublas::norm_2(u);
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123 if (!IsCloseToZero(norm))
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124 {
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125 u = u / norm;
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126 }
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127 }
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128
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129 void CrossProduct(Vector& result,
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130 const Vector& u,
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131 const Vector& v)
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132 {
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133 if (u.size() != 3 ||
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134 v.size() != 3)
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parents:
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135 {
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136 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
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137 }
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parents:
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138
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139 result.resize(3);
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140
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parents:
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141 result[0] = u[1] * v[2] - u[2] * v[1];
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142 result[1] = u[2] * v[0] - u[0] * v[2];
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143 result[2] = u[0] * v[1] - u[1] * v[0];
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144 }
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145
1002
341e68752354 dot product
Benjamin Golinvaux <bgo@osimis.io>
parents: 994
diff changeset
146 double DotProduct(const Vector& u, const Vector& v)
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147 {
341e68752354 dot product
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parents: 994
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148 if (u.size() != 3 ||
341e68752354 dot product
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parents: 994
diff changeset
149 v.size() != 3)
341e68752354 dot product
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parents: 994
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150 {
341e68752354 dot product
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151 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
341e68752354 dot product
Benjamin Golinvaux <bgo@osimis.io>
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152 }
341e68752354 dot product
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153
341e68752354 dot product
Benjamin Golinvaux <bgo@osimis.io>
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154 return (u[0] * v[0] + u[1] * v[1] + u[2] * v[2]);
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Benjamin Golinvaux <bgo@osimis.io>
parents: 994
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155 }
158
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156
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157 void FillMatrix(Matrix& target,
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158 size_t rows,
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159 size_t columns,
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160 const double values[])
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161 {
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162 target.resize(rows, columns);
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163
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164 size_t index = 0;
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165
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166 for (size_t y = 0; y < rows; y++)
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167 {
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168 for (size_t x = 0; x < columns; x++, index++)
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169 {
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170 target(y, x) = values[index];
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171 }
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172 }
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173 }
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174
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175
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176 void FillVector(Vector& target,
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177 size_t size,
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178 const double values[])
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179 {
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180 target.resize(size);
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181
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182 for (size_t i = 0; i < size; i++)
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183 {
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184 target[i] = values[i];
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185 }
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186 }
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187
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188
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189 void Convert(Matrix& target,
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190 const Vector& source)
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191 {
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192 const size_t n = source.size();
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193
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194 target.resize(n, 1);
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195
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196 for (size_t i = 0; i < n; i++)
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197 {
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198 target(i, 0) = source[i];
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199 }
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200 }
159
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201
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202
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203 double ComputeDeterminant(const Matrix& a)
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204 {
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diff changeset
205 if (a.size1() != a.size2())
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206 {
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diff changeset
207 LOG(ERROR) << "Determinant only exists for square matrices";
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208 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
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209 }
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parents: 158
diff changeset
210
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211 // https://en.wikipedia.org/wiki/Rule_of_Sarrus
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parents: 158
diff changeset
212 if (a.size1() == 1)
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diff changeset
213 {
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diff changeset
214 return a(0,0);
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215 }
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parents: 158
diff changeset
216 else if (a.size1() == 2)
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diff changeset
217 {
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diff changeset
218 return a(0,0) * a(1,1) - a(0,1) * a(1,0);
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diff changeset
219 }
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parents: 158
diff changeset
220 else if (a.size1() == 3)
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diff changeset
221 {
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diff changeset
222 return (a(0,0) * a(1,1) * a(2,2) +
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diff changeset
223 a(0,1) * a(1,2) * a(2,0) +
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parents: 158
diff changeset
224 a(0,2) * a(1,0) * a(2,1) -
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parents: 158
diff changeset
225 a(2,0) * a(1,1) * a(0,2) -
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Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
226 a(2,1) * a(1,2) * a(0,0) -
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parents: 158
diff changeset
227 a(2,2) * a(1,0) * a(0,1));
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diff changeset
228 }
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parents: 158
diff changeset
229 else
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parents: 158
diff changeset
230 {
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diff changeset
231 throw Orthanc::OrthancException(Orthanc::ErrorCode_NotImplemented);
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diff changeset
232 }
0a73d76333db populating LinearAlgebra
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parents: 158
diff changeset
233 }
0a73d76333db populating LinearAlgebra
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parents: 158
diff changeset
234
0a73d76333db populating LinearAlgebra
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parents: 158
diff changeset
235
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diff changeset
236 bool IsOrthogonalMatrix(const Matrix& q,
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diff changeset
237 double threshold)
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diff changeset
238 {
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diff changeset
239 // https://en.wikipedia.org/wiki/Orthogonal_matrix
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diff changeset
240
392
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parents: 212
diff changeset
241 if (q.size1() != q.size2())
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parents: 212
diff changeset
242 {
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parents: 212
diff changeset
243 LOG(ERROR) << "An orthogonal matrix must be squared";
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parents: 212
diff changeset
244 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
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diff changeset
245 }
d87fe075d31b to graveyard
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parents: 212
diff changeset
246
159
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diff changeset
247 using namespace boost::numeric::ublas;
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diff changeset
248
392
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diff changeset
249 const Matrix check = prod(trans(q), q) - identity_matrix<double>(q.size1());
159
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diff changeset
250
160
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 159
diff changeset
251 type_traits<double>::real_type norm = norm_inf(check);
159
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diff changeset
252
0a73d76333db populating LinearAlgebra
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diff changeset
253 return (norm <= threshold);
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diff changeset
254 }
0a73d76333db populating LinearAlgebra
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diff changeset
255
0a73d76333db populating LinearAlgebra
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diff changeset
256
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diff changeset
257 bool IsOrthogonalMatrix(const Matrix& q)
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diff changeset
258 {
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diff changeset
259 return IsOrthogonalMatrix(q, 10.0 * std::numeric_limits<float>::epsilon());
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diff changeset
260 }
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diff changeset
261
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diff changeset
262
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diff changeset
263 bool IsRotationMatrix(const Matrix& r,
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diff changeset
264 double threshold)
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parents: 158
diff changeset
265 {
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diff changeset
266 return (IsOrthogonalMatrix(r, threshold) &&
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parents: 158
diff changeset
267 IsNear(ComputeDeterminant(r), 1.0, threshold));
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diff changeset
268 }
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parents: 158
diff changeset
269
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diff changeset
270
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diff changeset
271 bool IsRotationMatrix(const Matrix& r)
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diff changeset
272 {
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diff changeset
273 return IsRotationMatrix(r, 10.0 * std::numeric_limits<float>::epsilon());
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diff changeset
274 }
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diff changeset
275
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diff changeset
276
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diff changeset
277 void InvertUpperTriangularMatrix(Matrix& output,
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diff changeset
278 const Matrix& k)
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diff changeset
279 {
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parents: 158
diff changeset
280 if (k.size1() != k.size2())
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
281 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
282 LOG(ERROR) << "Determinant only exists for square matrices";
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
283 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
284 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
285
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
286 output.resize(k.size1(), k.size2());
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
287
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
288 for (size_t i = 1; i < k.size1(); i++)
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
289 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
290 for (size_t j = 0; j < i; j++)
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
291 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
292 if (!IsCloseToZero(k(i, j)))
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
293 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
294 LOG(ERROR) << "Not an upper triangular matrix";
0a73d76333db populating LinearAlgebra
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parents: 158
diff changeset
295 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
296 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
297
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
298 output(i, j) = 0; // The output is also upper triangular
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
299 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
300 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
301
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
302 if (k.size1() == 3)
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
303 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
304 // https://math.stackexchange.com/a/1004181
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
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diff changeset
305 double a = k(0, 0);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
306 double b = k(0, 1);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
307 double c = k(0, 2);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
308 double d = k(1, 1);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
309 double e = k(1, 2);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
310 double f = k(2, 2);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
311
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
312 if (IsCloseToZero(a) ||
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
313 IsCloseToZero(d) ||
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
314 IsCloseToZero(f))
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
315 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
316 LOG(ERROR) << "Singular upper triangular matrix";
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
317 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
318 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
319 else
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
320 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
321 output(0, 0) = 1.0 / a;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
322 output(0, 1) = -b / (a * d);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
323 output(0, 2) = (b * e - c * d) / (a * f * d);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
324 output(1, 1) = 1.0 / d;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
325 output(1, 2) = -e / (f * d);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
326 output(2, 2) = 1.0 / f;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
327 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
328 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
329 else
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
330 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
331 throw Orthanc::OrthancException(Orthanc::ErrorCode_NotImplemented);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
332 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
333 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
334
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
335
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
336 static void GetGivensComponent(double& c,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
337 double& s,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
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diff changeset
338 const Matrix& a,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
339 size_t i,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
340 size_t j)
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
341 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
342 assert(i < 3 && j < 3);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
343
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
344 double x = a(i, i);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
345 double y = a(i, j);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
346 double n = sqrt(x * x + y * y);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
347
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
348 if (IsCloseToZero(n))
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
349 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
350 c = 1;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
351 s = 0;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
352 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
353 else
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
354 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
355 c = x / n;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
356 s = -y / n;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
357 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
358 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
359
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
360
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
361 /**
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
362 * This function computes the RQ decomposition of a 3x3 matrix,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
363 * using Givens rotations. Reference: Algorithm A4.1 (page 579) of
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
364 * "Multiple View Geometry in Computer Vision" (2nd edition). The
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
365 * output matrix "Q" is a rotation matrix, and "R" is upper
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
366 * triangular.
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
367 **/
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
368 void RQDecomposition3x3(Matrix& r,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
369 Matrix& q,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
370 const Matrix& a)
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
371 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
372 using namespace boost::numeric::ublas;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
373
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
374 if (a.size1() != 3 ||
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
375 a.size2() != 3)
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
376 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
377 LOG(ERROR) << "Only applicable to a 3x3 matrix";
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
378 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
379 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
380
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
381 r.resize(3, 3);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
382 q.resize(3, 3);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
383
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
384 r = a;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
385 q = identity_matrix<double>(3);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
386
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
387 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
388 // Set A(2,1) to zero
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
389 double c, s;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
390 GetGivensComponent(c, s, r, 2, 1);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
391
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
392 double v[9] = { 1, 0, 0,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
393 0, c, -s,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
394 0, s, c };
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
395
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
396 Matrix g;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
397 FillMatrix(g, 3, 3, v);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
398
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
399 r = prod(r, g);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
400 q = prod(trans(g), q);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
401 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
402
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
403
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
404 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
405 // Set A(2,0) to zero
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
406 double c, s;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
407 GetGivensComponent(c, s, r, 2, 0);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
408
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
409 double v[9] = { c, 0, -s,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
410 0, 1, 0,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
411 s, 0, c };
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
412
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
413 Matrix g;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
414 FillMatrix(g, 3, 3, v);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
415
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
416 r = prod(r, g);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
417 q = prod(trans(g), q);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
418 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
419
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
420
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
421 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
422 // Set A(1,0) to zero
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
423 double c, s;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
424 GetGivensComponent(c, s, r, 1, 0);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
425
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
426 double v[9] = { c, -s, 0,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
427 s, c, 0,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
428 0, 0, 1 };
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
429
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
430 Matrix g;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
431 FillMatrix(g, 3, 3, v);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
432
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
433 r = prod(r, g);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
434 q = prod(trans(g), q);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
435 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
436
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
437 if (!IsCloseToZero(norm_inf(prod(r, q) - a)) ||
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
438 !IsRotationMatrix(q) ||
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
439 !IsCloseToZero(r(1, 0)) ||
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
440 !IsCloseToZero(r(2, 0)) ||
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
441 !IsCloseToZero(r(2, 1)))
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
442 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
443 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
444 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
445 }
163
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
446
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
447
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
448 bool InvertMatrixUnsafe(Matrix& target,
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
449 const Matrix& source)
163
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
450 {
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
451 if (source.size1() != source.size2())
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
452 {
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
453 LOG(ERROR) << "Inverse only exists for square matrices";
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
454 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
455 }
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
456
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
457 if (source.size1() < 4)
163
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
458 {
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
459 // For matrices with size below 4, use direct computations
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
460 // instead of LU decomposition
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
461
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
462 if (source.size1() == 0)
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
463 {
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
464 // By convention, the inverse of the empty matrix, is itself the empty matrix
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
465 target.resize(0, 0);
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
466 return true;
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
467 }
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
468
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
469 double determinant = ComputeDeterminant(source);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
470
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
471 if (IsCloseToZero(determinant))
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
472 {
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
473 return false;
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
474 }
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
475
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
476 double denominator = 1.0 / determinant;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
477
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
478 target.resize(source.size1(), source.size2());
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
479
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
480 if (source.size1() == 1)
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
481 {
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
482 target(0, 0) = denominator;
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
483
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
484 return true;
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
485 }
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
486 else if (source.size1() == 2)
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
487 {
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
488 // https://en.wikipedia.org/wiki/Invertible_matrix#Inversion_of_2_%C3%97_2_matrices
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
489 target(0, 0) = source(1, 1) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
490 target(0, 1) = -source(0, 1) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
491 target(1, 0) = -source(1, 0) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
492 target(1, 1) = source(0, 0) * denominator;
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
493
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
494 return true;
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
495 }
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
496 else if (source.size1() == 3)
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
497 {
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
498 // https://en.wikipedia.org/wiki/Invertible_matrix#Inversion_of_3_%C3%97_3_matrices
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
499 const double a = source(0, 0);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
500 const double b = source(0, 1);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
501 const double c = source(0, 2);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
502 const double d = source(1, 0);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
503 const double e = source(1, 1);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
504 const double f = source(1, 2);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
505 const double g = source(2, 0);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
506 const double h = source(2, 1);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
507 const double i = source(2, 2);
163
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
508
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
509 target(0, 0) = (e * i - f * h) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
510 target(0, 1) = -(b * i - c * h) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
511 target(0, 2) = (b * f - c * e) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
512 target(1, 0) = -(d * i - f * g) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
513 target(1, 1) = (a * i - c * g) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
514 target(1, 2) = -(a * f - c * d) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
515 target(2, 0) = (d * h - e * g) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
516 target(2, 1) = -(a * h - b * g) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
517 target(2, 2) = (a * e - b * d) * denominator;
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
518
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
519 return true;
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
520 }
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
521 else
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
522 {
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
523 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
524 }
163
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
525 }
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
526 else
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
527 {
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
528 // General case, using LU decomposition
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
529
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
530 Matrix a = source; // Copy the source matrix, as "lu_factorize()" modifies it
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
531
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
532 boost::numeric::ublas::permutation_matrix<size_t> permutation(source.size1());
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
533
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
534 if (boost::numeric::ublas::lu_factorize(a, permutation) != 0)
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
535 {
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
536 return false;
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
537 }
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
538 else
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
539 {
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
540 target = boost::numeric::ublas::identity_matrix<double>(source.size1());
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
541 lu_substitute(a, permutation, target);
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
542 return true;
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
543 }
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
544 }
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
545 }
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
546
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
547
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
548
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
549 void InvertMatrix(Matrix& target,
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
550 const Matrix& source)
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
551 {
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
552 if (!InvertMatrixUnsafe(target, source))
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
553 {
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
554 LOG(ERROR) << "Cannot invert singular matrix";
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
555 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
163
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
556 }
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
557 }
165
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
558
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
559
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
560 void CreateSkewSymmetric(Matrix& s,
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
561 const Vector& v)
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
562 {
392
d87fe075d31b to graveyard
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 212
diff changeset
563 if (v.size() != 3)
d87fe075d31b to graveyard
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 212
diff changeset
564 {
d87fe075d31b to graveyard
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 212
diff changeset
565 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
d87fe075d31b to graveyard
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 212
diff changeset
566 }
165
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
567
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
568 s.resize(3, 3);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
569 s(0,0) = 0;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
570 s(0,1) = -v[2];
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
571 s(0,2) = v[1];
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
572 s(1,0) = v[2];
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
573 s(1,1) = 0;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
574 s(1,2) = -v[0];
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
575 s(2,0) = -v[1];
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
576 s(2,1) = v[0];
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
577 s(2,2) = 0;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
578 }
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
579
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
580
166
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 165
diff changeset
581 Matrix InvertScalingTranslationMatrix(const Matrix& t)
165
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
582 {
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
583 if (t.size1() != 4 ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
584 t.size2() != 4 ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
585 !LinearAlgebra::IsCloseToZero(t(0,1)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
586 !LinearAlgebra::IsCloseToZero(t(0,2)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
587 !LinearAlgebra::IsCloseToZero(t(1,0)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
588 !LinearAlgebra::IsCloseToZero(t(1,2)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
589 !LinearAlgebra::IsCloseToZero(t(2,0)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
590 !LinearAlgebra::IsCloseToZero(t(2,1)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
591 !LinearAlgebra::IsCloseToZero(t(3,0)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
592 !LinearAlgebra::IsCloseToZero(t(3,1)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
593 !LinearAlgebra::IsCloseToZero(t(3,2)))
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
594 {
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
595 LOG(ERROR) << "This matrix is more than a zoom/translate transform";
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
596 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
597 }
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
598
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
599 const double sx = t(0,0);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
600 const double sy = t(1,1);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
601 const double sz = t(2,2);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
602 const double w = t(3,3);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
603
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
604 if (LinearAlgebra::IsCloseToZero(sx) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
605 LinearAlgebra::IsCloseToZero(sy) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
606 LinearAlgebra::IsCloseToZero(sz) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
607 LinearAlgebra::IsCloseToZero(w))
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
608 {
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
609 LOG(ERROR) << "Singular transform";
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
610 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
611 }
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
612
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
613 const double tx = t(0,3);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
614 const double ty = t(1,3);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
615 const double tz = t(2,3);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
616
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
617 Matrix m = IdentityMatrix(4);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
618
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
619 m(0,0) = 1.0 / sx;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
620 m(1,1) = 1.0 / sy;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
621 m(2,2) = 1.0 / sz;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
622 m(3,3) = 1.0 / w;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
623
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
624 m(0,3) = -tx / (sx * w);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
625 m(1,3) = -ty / (sy * w);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
626 m(2,3) = -tz / (sz * w);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
627
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
628 return m;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
629 }
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
630
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
631
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
632 bool IsShearMatrix(const Matrix& shear)
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
633 {
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
634 return (shear.size1() == 4 &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
635 shear.size2() == 4 &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
636 LinearAlgebra::IsNear(1.0, shear(0,0)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
637 LinearAlgebra::IsNear(0.0, shear(0,1)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
638 LinearAlgebra::IsNear(0.0, shear(0,3)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
639 LinearAlgebra::IsNear(0.0, shear(1,0)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
640 LinearAlgebra::IsNear(1.0, shear(1,1)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
641 LinearAlgebra::IsNear(0.0, shear(1,3)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
642 LinearAlgebra::IsNear(0.0, shear(2,0)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
643 LinearAlgebra::IsNear(0.0, shear(2,1)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
644 LinearAlgebra::IsNear(1.0, shear(2,2)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
645 LinearAlgebra::IsNear(0.0, shear(2,3)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
646 LinearAlgebra::IsNear(0.0, shear(3,0)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
647 LinearAlgebra::IsNear(0.0, shear(3,1)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
648 LinearAlgebra::IsNear(1.0, shear(3,3)));
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
649 }
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
650
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
651
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
652 Matrix InvertShearMatrix(const Matrix& shear)
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
653 {
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
654 if (!IsShearMatrix(shear))
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
655 {
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
656 LOG(ERROR) << "Not a valid shear matrix";
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
657 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
658 }
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
659
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
660 Matrix m = IdentityMatrix(4);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
661 m(0,2) = -shear(0,2);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
662 m(1,2) = -shear(1,2);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
663 m(3,2) = -shear(3,2);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
664
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
665 return m;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
666 }
158
a053ca7fa5c6 LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
667 }
949
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
668
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
669 std::ostream& operator<<(std::ostream& s, const Vector& vec)
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
670 {
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
671 s << "(";
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
672 for (size_t i = 0; i < vec.size(); ++i)
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
673 {
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
674 s << vec(i);
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
675 if (i < (vec.size() - 1))
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
676 s << ", ";
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
677 }
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
678 s << ")";
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
679 return s;
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
680 }
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
681
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
682 std::ostream& operator<<(std::ostream& s, const Matrix& m)
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
683 {
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
684 ORTHANC_ASSERT(m.size1() == m.size2());
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
685 s << "(";
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
686 for (size_t i = 0; i < m.size1(); ++i)
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
687 {
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
688 s << "(";
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
689 for (size_t j = 0; j < m.size2(); ++j)
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
690 {
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
691 s << m(i,j);
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
692 if (j < (m.size2() - 1))
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
693 s << ", ";
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
694 }
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
695 s << ")";
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
696 if (i < (m.size1() - 1))
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
697 s << ", ";
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
698 }
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
699 s << ")";
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
700 return s;
32eaf4929b08 OrthancMultiframeVolumeLoader and OrthancSeriesVolumeProgressiveLoader now implement IGeometryProvider so that the geometry reference can be switched (CT or DOSE, for instance) + VolumeImageGeometry::SetSize renamed to VolumeImageGeometry::SetSizeInVoxels + prevent text layer update if text or properties do not change + a few stream operator<< for debug (Vector, Matrix,...) + fixed memory access aligment issues in ImageBuffer3D::ExtractSagittalSlice + fix for wrong screen Y offset of mpr slices in DicomVolumeImageMPRSlicer.
Benjamin Golinvaux <bgo@osimis.io>
parents: 804
diff changeset
701 }
158
a053ca7fa5c6 LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
702 }