Mercurial > hg > orthanc-stone

annotate Framework/Toolbox/LinearAlgebra.cpp @ 860:238693c3bc51 am-dev

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author Alain Mazy <alain@mazy.be>
date Mon, 24 Jun 2019 14:35:00 +0200
parents 61ba4b504e9a
children 32eaf4929b08
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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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20
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21
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22 #include "LinearAlgebra.h"
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23
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24 #include <Core/Logging.h>
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25 #include <Core/OrthancException.h>
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26 #include <Core/Toolbox.h>
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27
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28 #include <stdio.h>
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29 #include <boost/lexical_cast.hpp>
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30 #include <boost/numeric/ublas/lu.hpp>
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31
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32 namespace OrthancStone
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33 {
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34 namespace LinearAlgebra
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35 {
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36 void Print(const Vector& v)
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37 {
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38 for (size_t i = 0; i < v.size(); i++)
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39 {
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40 printf("%g\n", v[i]);
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41 //printf("%8.2f\n", v[i]);
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42 }
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43 printf("\n");
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44 }
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45
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46
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47 void Print(const Matrix& m)
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48 {
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49 for (size_t i = 0; i < m.size1(); i++)
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50 {
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51 for (size_t j = 0; j < m.size2(); j++)
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52 {
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53 printf("%g ", m(i,j));
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54 //printf("%8.2f ", m(i,j));
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55 }
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56 printf("\n");
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57 }
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58 printf("\n");
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59 }
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60
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61
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62 bool ParseVector(Vector& target,
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63 const std::string& value)
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64 {
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65 std::vector<std::string> items;
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66 Orthanc::Toolbox::TokenizeString(items, Orthanc::Toolbox::StripSpaces(value), '\\');
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67
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68 target.resize(items.size());
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69
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70 for (size_t i = 0; i < items.size(); i++)
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71 {
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72 /**
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73 * We try and avoid the use of "boost::lexical_cast<>" here,
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74 * as it is very slow. As we are parsing many doubles, we
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75 * prefer to use the standard "std::stod" function if
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76 * available: http://www.cplusplus.com/reference/string/stod/
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77 **/
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78
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79 #if __cplusplus >= 201103L // Is C++11 enabled?
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80 try
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81 {
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82 target[i] = std::stod(items[i]);
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83 }
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84 catch (std::exception&)
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85 {
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86 target.clear();
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87 return false;
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88 }
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89 #else // Fallback implementation using Boost
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90 try
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91 {
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92 target[i] = boost::lexical_cast<double>(items[i]);
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93 }
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94 catch (boost::bad_lexical_cast&)
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95 {
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96 target.clear();
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97 return false;
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98 }
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99 #endif
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100 }
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101
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102 return true;
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103 }
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104
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105
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106 bool ParseVector(Vector& target,
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107 const Orthanc::DicomMap& dataset,
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108 const Orthanc::DicomTag& tag)
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109 {
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110 std::string value;
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111 return (dataset.CopyToString(value, tag, false) &&
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112 ParseVector(target, value));
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113 }
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114
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115
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116 void NormalizeVector(Vector& u)
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117 {
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118 double norm = boost::numeric::ublas::norm_2(u);
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119 if (!IsCloseToZero(norm))
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120 {
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121 u = u / norm;
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122 }
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123 }
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124
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125
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126 void CrossProduct(Vector& result,
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127 const Vector& u,
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128 const Vector& v)
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129 {
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130 if (u.size() != 3 ||
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131 v.size() != 3)
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132 {
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133 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
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134 }
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135
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136 result.resize(3);
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137
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138 result[0] = u[1] * v[2] - u[2] * v[1];
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139 result[1] = u[2] * v[0] - u[0] * v[2];
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140 result[2] = u[0] * v[1] - u[1] * v[0];
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141 }
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142
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143
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144 void FillMatrix(Matrix& target,
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145 size_t rows,
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146 size_t columns,
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147 const double values[])
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148 {
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149 target.resize(rows, columns);
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150
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151 size_t index = 0;
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152
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153 for (size_t y = 0; y < rows; y++)
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154 {
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155 for (size_t x = 0; x < columns; x++, index++)
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156 {
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157 target(y, x) = values[index];
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158 }
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159 }
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160 }
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161
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162
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163 void FillVector(Vector& target,
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164 size_t size,
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165 const double values[])
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166 {
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167 target.resize(size);
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168
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169 for (size_t i = 0; i < size; i++)
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170 {
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171 target[i] = values[i];
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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 Convert(Matrix& target,
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177 const Vector& source)
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178 {
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179 const size_t n = source.size();
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180
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181 target.resize(n, 1);
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182
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183 for (size_t i = 0; i < n; i++)
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184 {
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185 target(i, 0) = source[i];
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186 }
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187 }
159
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188
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189
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190 double ComputeDeterminant(const Matrix& a)
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191 {
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192 if (a.size1() != a.size2())
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193 {
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194 LOG(ERROR) << "Determinant only exists for square matrices";
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195 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
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196 }
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197
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198 // https://en.wikipedia.org/wiki/Rule_of_Sarrus
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199 if (a.size1() == 1)
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200 {
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201 return a(0,0);
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202 }
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203 else if (a.size1() == 2)
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204 {
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205 return a(0,0) * a(1,1) - a(0,1) * a(1,0);
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206 }
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207 else if (a.size1() == 3)
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208 {
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209 return (a(0,0) * a(1,1) * a(2,2) +
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210 a(0,1) * a(1,2) * a(2,0) +
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211 a(0,2) * a(1,0) * a(2,1) -
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212 a(2,0) * a(1,1) * a(0,2) -
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213 a(2,1) * a(1,2) * a(0,0) -
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214 a(2,2) * a(1,0) * a(0,1));
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215 }
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216 else
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217 {
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218 throw Orthanc::OrthancException(Orthanc::ErrorCode_NotImplemented);
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219 }
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220 }
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221
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222
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223 bool IsOrthogonalMatrix(const Matrix& q,
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224 double threshold)
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225 {
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226 // https://en.wikipedia.org/wiki/Orthogonal_matrix
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227
392
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228 if (q.size1() != q.size2())
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229 {
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230 LOG(ERROR) << "An orthogonal matrix must be squared";
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231 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
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232 }
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233
159
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234 using namespace boost::numeric::ublas;
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235
392
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236 const Matrix check = prod(trans(q), q) - identity_matrix<double>(q.size1());
159
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237
160
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diff changeset
238 type_traits<double>::real_type norm = norm_inf(check);
159
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239
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240 return (norm <= threshold);
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241 }
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242
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243
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244 bool IsOrthogonalMatrix(const Matrix& q)
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245 {
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246 return IsOrthogonalMatrix(q, 10.0 * std::numeric_limits<float>::epsilon());
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247 }
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248
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249
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250 bool IsRotationMatrix(const Matrix& r,
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251 double threshold)
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252 {
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diff changeset
253 return (IsOrthogonalMatrix(r, threshold) &&
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diff changeset
254 IsNear(ComputeDeterminant(r), 1.0, threshold));
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255 }
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diff changeset
256
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257
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258 bool IsRotationMatrix(const Matrix& r)
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259 {
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260 return IsRotationMatrix(r, 10.0 * std::numeric_limits<float>::epsilon());
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diff changeset
261 }
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diff changeset
262
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diff changeset
263
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diff changeset
264 void InvertUpperTriangularMatrix(Matrix& output,
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diff changeset
265 const Matrix& k)
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266 {
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diff changeset
267 if (k.size1() != k.size2())
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diff changeset
268 {
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diff changeset
269 LOG(ERROR) << "Determinant only exists for square matrices";
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diff changeset
270 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
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271 }
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diff changeset
272
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diff changeset
273 output.resize(k.size1(), k.size2());
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diff changeset
274
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diff changeset
275 for (size_t i = 1; i < k.size1(); i++)
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diff changeset
276 {
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diff changeset
277 for (size_t j = 0; j < i; j++)
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diff changeset
278 {
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diff changeset
279 if (!IsCloseToZero(k(i, j)))
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diff changeset
280 {
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281 LOG(ERROR) << "Not an upper triangular matrix";
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diff changeset
282 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
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diff changeset
283 }
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diff changeset
284
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diff changeset
285 output(i, j) = 0; // The output is also upper triangular
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diff changeset
286 }
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diff changeset
287 }
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diff changeset
288
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
289 if (k.size1() == 3)
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
290 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
291 // https://math.stackexchange.com/a/1004181
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
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diff changeset
292 double a = k(0, 0);
0a73d76333db populating LinearAlgebra
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diff changeset
293 double b = k(0, 1);
0a73d76333db populating LinearAlgebra
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diff changeset
294 double c = k(0, 2);
0a73d76333db populating LinearAlgebra
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diff changeset
295 double d = k(1, 1);
0a73d76333db populating LinearAlgebra
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diff changeset
296 double e = k(1, 2);
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diff changeset
297 double f = k(2, 2);
0a73d76333db populating LinearAlgebra
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diff changeset
298
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
299 if (IsCloseToZero(a) ||
0a73d76333db populating LinearAlgebra
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diff changeset
300 IsCloseToZero(d) ||
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
301 IsCloseToZero(f))
0a73d76333db populating LinearAlgebra
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parents: 158
diff changeset
302 {
0a73d76333db populating LinearAlgebra
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diff changeset
303 LOG(ERROR) << "Singular upper triangular matrix";
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diff changeset
304 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
0a73d76333db populating LinearAlgebra
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diff changeset
305 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
306 else
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
307 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
308 output(0, 0) = 1.0 / a;
0a73d76333db populating LinearAlgebra
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diff changeset
309 output(0, 1) = -b / (a * d);
0a73d76333db populating LinearAlgebra
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parents: 158
diff changeset
310 output(0, 2) = (b * e - c * d) / (a * f * d);
0a73d76333db populating LinearAlgebra
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parents: 158
diff changeset
311 output(1, 1) = 1.0 / d;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
312 output(1, 2) = -e / (f * d);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
313 output(2, 2) = 1.0 / f;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
314 }
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 else
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
317 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
318 throw Orthanc::OrthancException(Orthanc::ErrorCode_NotImplemented);
0a73d76333db populating LinearAlgebra
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parents: 158
diff changeset
319 }
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
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
322
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Sebastien Jodogne <s.jodogne@gmail.com>
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diff changeset
323 static void GetGivensComponent(double& c,
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diff changeset
324 double& s,
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Sebastien Jodogne <s.jodogne@gmail.com>
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diff changeset
325 const Matrix& a,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
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diff changeset
326 size_t i,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
327 size_t j)
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 assert(i < 3 && j < 3);
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 double x = a(i, i);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
332 double y = a(i, j);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
333 double n = sqrt(x * x + y * y);
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 if (IsCloseToZero(n))
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
336 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
337 c = 1;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
338 s = 0;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
339 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
340 else
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 c = x / n;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
343 s = -y / n;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
344 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
345 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
346
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 /**
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
349 * This function computes the RQ decomposition of a 3x3 matrix,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
350 * using Givens rotations. Reference: Algorithm A4.1 (page 579) of
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
351 * "Multiple View Geometry in Computer Vision" (2nd edition). The
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
352 * output matrix "Q" is a rotation matrix, and "R" is upper
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
353 * triangular.
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 void RQDecomposition3x3(Matrix& r,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
356 Matrix& q,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
357 const Matrix& a)
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 using namespace boost::numeric::ublas;
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 if (a.size1() != 3 ||
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
362 a.size2() != 3)
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
363 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
364 LOG(ERROR) << "Only applicable to a 3x3 matrix";
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
365 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
366 }
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 r.resize(3, 3);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
369 q.resize(3, 3);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
370
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
371 r = a;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
372 q = identity_matrix<double>(3);
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 {
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
375 // Set A(2,1) to zero
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
376 double c, s;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
377 GetGivensComponent(c, s, r, 2, 1);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
378
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
379 double v[9] = { 1, 0, 0,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
380 0, c, -s,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
381 0, s, c };
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
382
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
383 Matrix g;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
384 FillMatrix(g, 3, 3, v);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
385
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
386 r = prod(r, g);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
387 q = prod(trans(g), q);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
388 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
389
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
390
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 // Set A(2,0) to zero
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
393 double c, s;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
394 GetGivensComponent(c, s, r, 2, 0);
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 double v[9] = { c, 0, -s,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
397 0, 1, 0,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
398 s, 0, c };
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
399
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
400 Matrix g;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
401 FillMatrix(g, 3, 3, v);
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 r = prod(r, g);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
404 q = prod(trans(g), q);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
405 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
406
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
407
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 // Set A(1,0) to zero
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
410 double c, s;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
411 GetGivensComponent(c, s, r, 1, 0);
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 double v[9] = { c, -s, 0,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
414 s, c, 0,
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
415 0, 0, 1 };
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
416
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
417 Matrix g;
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
418 FillMatrix(g, 3, 3, v);
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 r = prod(r, g);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
421 q = prod(trans(g), q);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
422 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
423
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
424 if (!IsCloseToZero(norm_inf(prod(r, q) - a)) ||
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
425 !IsRotationMatrix(q) ||
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
426 !IsCloseToZero(r(1, 0)) ||
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
427 !IsCloseToZero(r(2, 0)) ||
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
428 !IsCloseToZero(r(2, 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 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
431 }
0a73d76333db populating LinearAlgebra
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 158
diff changeset
432 }
163
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
433
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
434
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
435 bool InvertMatrixUnsafe(Matrix& target,
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
436 const Matrix& source)
163
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
437 {
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
438 if (source.size1() != source.size2())
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
439 {
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
440 LOG(ERROR) << "Inverse only exists for square matrices";
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
441 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
442 }
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
443
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
444 if (source.size1() < 4)
163
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
445 {
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
446 // For matrices with size below 4, use direct computations
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
447 // instead of LU decomposition
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
448
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
449 if (source.size1() == 0)
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
450 {
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
451 // 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
452 target.resize(0, 0);
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
453 return true;
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
454 }
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
455
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
456 double determinant = ComputeDeterminant(source);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
457
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
458 if (IsCloseToZero(determinant))
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
459 {
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
460 return false;
164
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
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
463 double denominator = 1.0 / determinant;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
464
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
465 target.resize(source.size1(), source.size2());
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
466
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
467 if (source.size1() == 1)
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 target(0, 0) = denominator;
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
470
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
471 return true;
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
472 }
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
473 else if (source.size1() == 2)
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 // 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
476 target(0, 0) = source(1, 1) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
477 target(0, 1) = -source(0, 1) * denominator;
432b1f812d14 inversion of general matrices
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parents: 163
diff changeset
478 target(1, 0) = -source(1, 0) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
479 target(1, 1) = source(0, 0) * denominator;
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
480
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
481 return true;
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
482 }
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
483 else if (source.size1() == 3)
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
484 {
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
485 // 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
486 const double a = source(0, 0);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
487 const double b = source(0, 1);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
488 const double c = source(0, 2);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
489 const double d = source(1, 0);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
490 const double e = source(1, 1);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
491 const double f = source(1, 2);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
492 const double g = source(2, 0);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
493 const double h = source(2, 1);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
494 const double i = source(2, 2);
163
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
495
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
496 target(0, 0) = (e * i - f * h) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
497 target(0, 1) = -(b * i - c * h) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
498 target(0, 2) = (b * f - c * e) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
499 target(1, 0) = -(d * i - f * g) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
500 target(1, 1) = (a * i - c * g) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
501 target(1, 2) = -(a * f - c * d) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
502 target(2, 0) = (d * h - e * g) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
503 target(2, 1) = -(a * h - b * g) * denominator;
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
504 target(2, 2) = (a * e - b * d) * denominator;
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
505
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
506 return true;
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
507 }
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
508 else
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
509 {
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
510 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
511 }
163
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
512 }
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
513 else
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
514 {
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
515 // General case, using LU decomposition
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
516
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
517 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
518
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
519 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
520
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
521 if (boost::numeric::ublas::lu_factorize(a, permutation) != 0)
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
522 {
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
523 return false;
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
524 }
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
525 else
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
526 {
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
527 target = boost::numeric::ublas::identity_matrix<double>(source.size1());
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
528 lu_substitute(a, permutation, target);
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
529 return true;
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
530 }
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
531 }
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
532 }
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
533
164
432b1f812d14 inversion of general matrices
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 163
diff changeset
534
169
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
535
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
536 void InvertMatrix(Matrix& target,
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
537 const Matrix& source)
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
538 {
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
539 if (!InvertMatrixUnsafe(target, source))
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
540 {
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
541 LOG(ERROR) << "Cannot invert singular matrix";
7105e51e4907 InvertMatrixUnsafe
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 166
diff changeset
542 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
163
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
543 }
8c5b24892ed2 LinearAlgebra::InvertMatrix
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 161
diff changeset
544 }
165
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
545
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
546
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
547 void CreateSkewSymmetric(Matrix& s,
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
548 const Vector& v)
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
549 {
392
d87fe075d31b to graveyard
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 212
diff changeset
550 if (v.size() != 3)
d87fe075d31b to graveyard
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 212
diff changeset
551 {
d87fe075d31b to graveyard
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 212
diff changeset
552 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
d87fe075d31b to graveyard
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 212
diff changeset
553 }
165
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
554
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
555 s.resize(3, 3);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
556 s(0,0) = 0;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
557 s(0,1) = -v[2];
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
558 s(0,2) = v[1];
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
559 s(1,0) = v[2];
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
560 s(1,1) = 0;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
561 s(1,2) = -v[0];
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
562 s(2,0) = -v[1];
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
563 s(2,1) = v[0];
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
564 s(2,2) = 0;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
565 }
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
566
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
567
166
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 165
diff changeset
568 Matrix InvertScalingTranslationMatrix(const Matrix& t)
165
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
569 {
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
570 if (t.size1() != 4 ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
571 t.size2() != 4 ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
572 !LinearAlgebra::IsCloseToZero(t(0,1)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
573 !LinearAlgebra::IsCloseToZero(t(0,2)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
574 !LinearAlgebra::IsCloseToZero(t(1,0)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
575 !LinearAlgebra::IsCloseToZero(t(1,2)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
576 !LinearAlgebra::IsCloseToZero(t(2,0)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
577 !LinearAlgebra::IsCloseToZero(t(2,1)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
578 !LinearAlgebra::IsCloseToZero(t(3,0)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
579 !LinearAlgebra::IsCloseToZero(t(3,1)) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
580 !LinearAlgebra::IsCloseToZero(t(3,2)))
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
581 {
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
582 LOG(ERROR) << "This matrix is more than a zoom/translate transform";
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
583 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
584 }
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
585
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
586 const double sx = t(0,0);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
587 const double sy = t(1,1);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
588 const double sz = t(2,2);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
589 const double w = t(3,3);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
590
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
591 if (LinearAlgebra::IsCloseToZero(sx) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
592 LinearAlgebra::IsCloseToZero(sy) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
593 LinearAlgebra::IsCloseToZero(sz) ||
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
594 LinearAlgebra::IsCloseToZero(w))
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
595 {
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
596 LOG(ERROR) << "Singular transform";
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
597 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
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
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
600 const double tx = t(0,3);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
601 const double ty = t(1,3);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
602 const double tz = t(2,3);
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 Matrix m = IdentityMatrix(4);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
605
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
606 m(0,0) = 1.0 / sx;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
607 m(1,1) = 1.0 / sy;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
608 m(2,2) = 1.0 / sz;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
609 m(3,3) = 1.0 / w;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
610
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
611 m(0,3) = -tx / (sx * w);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
612 m(1,3) = -ty / (sy * w);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
613 m(2,3) = -tz / (sz * w);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
614
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
615 return m;
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
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 bool IsShearMatrix(const Matrix& shear)
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
620 {
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
621 return (shear.size1() == 4 &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
622 shear.size2() == 4 &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
623 LinearAlgebra::IsNear(1.0, shear(0,0)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
624 LinearAlgebra::IsNear(0.0, shear(0,1)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
625 LinearAlgebra::IsNear(0.0, shear(0,3)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
626 LinearAlgebra::IsNear(0.0, shear(1,0)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
627 LinearAlgebra::IsNear(1.0, shear(1,1)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
628 LinearAlgebra::IsNear(0.0, shear(1,3)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
629 LinearAlgebra::IsNear(0.0, shear(2,0)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
630 LinearAlgebra::IsNear(0.0, shear(2,1)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
631 LinearAlgebra::IsNear(1.0, shear(2,2)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
632 LinearAlgebra::IsNear(0.0, shear(2,3)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
633 LinearAlgebra::IsNear(0.0, shear(3,0)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
634 LinearAlgebra::IsNear(0.0, shear(3,1)) &&
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
635 LinearAlgebra::IsNear(1.0, shear(3,3)));
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
636 }
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
637
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
638
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
639 Matrix InvertShearMatrix(const Matrix& shear)
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
640 {
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
641 if (!IsShearMatrix(shear))
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
642 {
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
643 LOG(ERROR) << "Not a valid shear matrix";
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
644 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
645 }
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
646
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
647 Matrix m = IdentityMatrix(4);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
648 m(0,2) = -shear(0,2);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
649 m(1,2) = -shear(1,2);
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
650 m(3,2) = -shear(3,2);
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 return m;
8d50e6be565d LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents: 164
diff changeset
653 }
158
a053ca7fa5c6 LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
654 }
a053ca7fa5c6 LinearAlgebra toolbox
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
655 }