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annotate Framework/Toolbox/GeometryToolbox.h @ 144:9b83f30fc1c0 wasm

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bilinear and trilinear interpolation
author Sebastien Jodogne <s.jodogne@gmail.com>
date Mon, 22 Jan 2018 15:55:03 +0100
parents 2115530d3703
children 62670cc2bb50
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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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e2fe9352f240 upgrade to year 2018
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5 * Copyright (C) 2017-2018 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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22 #pragma once
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23
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24 // Patch for ublas in Boost 1.64.0
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25 // https://github.com/dealii/dealii/issues/4302
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26 #include <boost/version.hpp>
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27 #if BOOST_VERSION >= 106300 // or 64, need to check
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28 # include <boost/serialization/array_wrapper.hpp>
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29 #endif
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31 #include <Core/DicomFormat/DicomMap.h>
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32
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33 #include <boost/numeric/ublas/matrix.hpp>
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34 #include <boost/numeric/ublas/vector.hpp>
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35 #include <cassert>
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36
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37 namespace OrthancStone
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38 {
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39 typedef boost::numeric::ublas::matrix<double> Matrix;
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40 typedef boost::numeric::ublas::vector<double> Vector;
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42 namespace GeometryToolbox
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43 {
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44 void Print(const Vector& v);
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46 bool ParseVector(Vector& target,
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47 const std::string& s);
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48
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49 bool ParseVector(Vector& target,
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50 const Orthanc::DicomMap& dataset,
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51 const Orthanc::DicomTag& tag);
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52
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53 void AssignVector(Vector& v,
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54 double v1,
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55 double v2);
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57 void AssignVector(Vector& v,
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58 double v1,
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59 double v2,
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60 double v3);
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61
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62 inline bool IsNear(double x,
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63 double y,
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64 double threshold)
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65 {
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66 return fabs(x - y) < threshold;
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67 }
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68
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69 bool IsNear(double x,
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70 double y);
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71
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72 inline bool IsCloseToZero(double x)
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73 {
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74 return IsNear(x, 0.0);
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75 }
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77 void NormalizeVector(Vector& u);
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79 void CrossProduct(Vector& result,
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80 const Vector& u,
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81 const Vector& v);
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82
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83 void ProjectPointOntoPlane(Vector& result,
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84 const Vector& point,
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85 const Vector& planeNormal,
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86 const Vector& planeOrigin);
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87
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88 bool IsParallel(const Vector& u,
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89 const Vector& v);
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90
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91 bool IsParallelOrOpposite(bool& isOpposite,
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92 const Vector& u,
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93 const Vector& v);
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94
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95 bool IntersectTwoPlanes(Vector& p,
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96 Vector& direction,
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97 const Vector& origin1,
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98 const Vector& normal1,
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99 const Vector& origin2,
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100 const Vector& normal2);
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101
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102 bool ClipLineToRectangle(double& x1, // Coordinates of the clipped line (out)
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103 double& y1,
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104 double& x2,
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105 double& y2,
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106 const double ax, // Two points defining the line (in)
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107 const double ay,
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108 const double bx,
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109 const double by,
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110 const double& xmin, // Coordinates of the rectangle (in)
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111 const double& ymin,
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112 const double& xmax,
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113 const double& ymax);
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114
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115 void GetPixelSpacing(double& spacingX,
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116 double& spacingY,
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117 const Orthanc::DicomMap& dicom);
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118
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119 inline double ProjectAlongNormal(const Vector& point,
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120 const Vector& normal)
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121 {
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122 return boost::numeric::ublas::inner_prod(point, normal);
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123 }
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124
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125 Matrix CreateRotationMatrixAlongX(double a);
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126
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127 Matrix CreateRotationMatrixAlongY(double a);
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128
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129 Matrix CreateRotationMatrixAlongZ(double a);
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130
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131 inline float ComputeBilinearInterpolationInternal(float x,
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132 float y,
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133 float f00, // source(x, y)
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134 float f01, // source(x + 1, y)
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135 float f10, // source(x, y + 1)
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136 float f11); // source(x + 1, y + 1)
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137
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138 inline float ComputeBilinearInterpolation(float x,
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139 float y,
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140 float f00, // source(x, y)
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141 float f01, // source(x + 1, y)
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142 float f10, // source(x, y + 1)
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143 float f11); // source(x + 1, y + 1)
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145 inline float ComputeTrilinearInterpolation(float x,
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146 float y,
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147 float z,
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148 float f000, // source(x, y, z)
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149 float f001, // source(x + 1, y, z)
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150 float f010, // source(x, y + 1, z)
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151 float f011, // source(x + 1, y + 1, z)
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152 float f100, // source(x, y, z + 1)
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153 float f101, // source(x + 1, y, z + 1)
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154 float f110, // source(x, y + 1, z + 1)
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155 float f111); // source(x + 1, y + 1, z + 1)
0
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156 };
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157 }
144
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158
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159
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160 float OrthancStone::GeometryToolbox::ComputeBilinearInterpolationInternal(float x,
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161 float y,
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162 float f00,
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163 float f01,
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164 float f10,
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165 float f11)
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166 {
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167 // This function works on fractional parts
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168 assert(x >= 0 && y >= 0 && x < 1 && y < 1);
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169
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170 // https://en.wikipedia.org/wiki/Bilinear_interpolation#Unit_square
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171 return f00 * (1 - x) * (1 - y) + f01 * x * (1 - y) + f10 * (1 - x) * y + f11 * x * y;
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172 }
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173
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174
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175 float OrthancStone::GeometryToolbox::ComputeBilinearInterpolation(float x,
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176 float y,
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177 float f00,
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178 float f01,
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179 float f10,
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180 float f11)
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181 {
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182 assert(x >= 0 && y >= 0);
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183
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184 // Compute the fractional part of (x,y) (this is the "floor()"
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185 // operation on positive integers)
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186 float xx = x - static_cast<float>(static_cast<int>(x));
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187 float yy = y - static_cast<float>(static_cast<int>(y));
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188
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189 return ComputeBilinearInterpolationInternal(xx, yy, f00, f01, f10, f11);
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190 }
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191
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192
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193 float OrthancStone::GeometryToolbox::ComputeTrilinearInterpolation(float x,
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194 float y,
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195 float z,
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196 float f000,
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197 float f001,
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198 float f010,
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199 float f011,
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200 float f100,
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201 float f101,
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202 float f110,
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203 float f111)
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204 {
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205 assert(x >= 0 && y >= 0 && z >= 0);
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206
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207 float xx = x - static_cast<float>(static_cast<int>(x));
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208 float yy = y - static_cast<float>(static_cast<int>(y));
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209 float zz = z - static_cast<float>(static_cast<int>(z));
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210
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211 // "In practice, a trilinear interpolation is identical to two
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212 // bilinear interpolation combined with a linear interpolation"
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213 // https://en.wikipedia.org/wiki/Trilinear_interpolation#Method
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214 float a = ComputeBilinearInterpolationInternal(xx, yy, f000, f001, f010, f011);
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215 float b = ComputeBilinearInterpolationInternal(xx, yy, f100, f101, f110, f111);
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216
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217 return (1 - zz) * a + zz * b;
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218 }