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annotate Framework/Toolbox/GeometryToolbox.h @ 175:15d92d93738b wasm

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fix interpolation with negative coordinates
author Sebastien Jodogne <s.jodogne@gmail.com>
date Fri, 09 Mar 2018 10:06:40 +0100
parents 316324f42848
children 83200c4d07ca
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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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24 #include "LinearAlgebra.h"
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26 namespace OrthancStone
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27 {
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28 namespace GeometryToolbox
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29 {
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30 void ProjectPointOntoPlane(Vector& result,
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31 const Vector& point,
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32 const Vector& planeNormal,
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33 const Vector& planeOrigin);
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34
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35 bool IsParallel(const Vector& u,
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36 const Vector& v);
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37
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38 bool IsParallelOrOpposite(bool& isOpposite,
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39 const Vector& u,
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40 const Vector& v);
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41
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42 bool IntersectTwoPlanes(Vector& p,
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43 Vector& direction,
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44 const Vector& origin1,
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45 const Vector& normal1,
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46 const Vector& origin2,
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47 const Vector& normal2);
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48
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49 bool ClipLineToRectangle(double& x1, // Coordinates of the clipped line (out)
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50 double& y1,
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51 double& x2,
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52 double& y2,
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53 const double ax, // Two points defining the line (in)
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54 const double ay,
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55 const double bx,
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56 const double by,
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57 const double& xmin, // Coordinates of the rectangle (in)
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58 const double& ymin,
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59 const double& xmax,
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60 const double& ymax);
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61
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62 void GetPixelSpacing(double& spacingX,
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63 double& spacingY,
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64 const Orthanc::DicomMap& dicom);
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65
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66 inline double ProjectAlongNormal(const Vector& point,
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67 const Vector& normal)
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68 {
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69 return boost::numeric::ublas::inner_prod(point, normal);
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70 }
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71
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72 Matrix CreateRotationMatrixAlongX(double a);
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73
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74 Matrix CreateRotationMatrixAlongY(double a);
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75
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76 Matrix CreateRotationMatrixAlongZ(double a);
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77
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78 Matrix CreateTranslationMatrix(double dx,
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79 double dy,
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80 double dz);
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81
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82 Matrix CreateScalingMatrix(double sx,
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83 double sy,
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84 double sz);
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85
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86 bool IntersectPlaneAndSegment(Vector& p,
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87 const Vector& normal,
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88 double d,
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89 const Vector& edgeFrom,
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90 const Vector& edgeTo);
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91
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92 bool IntersectPlaneAndLine(Vector& p,
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93 const Vector& normal,
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94 double d,
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95 const Vector& origin,
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96 const Vector& direction);
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97
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98 inline float ComputeBilinearInterpolationInternal(float x,
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99 float y,
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100 float f00, // source(x, y)
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101 float f01, // source(x + 1, y)
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102 float f10, // source(x, y + 1)
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103 float f11); // source(x + 1, y + 1)
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104
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105 inline float ComputeBilinearInterpolation(float x,
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106 float y,
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107 float f00, // source(x, y)
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108 float f01, // source(x + 1, y)
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109 float f10, // source(x, y + 1)
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110 float f11); // source(x + 1, y + 1)
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111
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112 inline float ComputeTrilinearInterpolation(float x,
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113 float y,
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114 float z,
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115 float f000, // source(x, y, z)
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116 float f001, // source(x + 1, y, z)
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117 float f010, // source(x, y + 1, z)
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118 float f011, // source(x + 1, y + 1, z)
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119 float f100, // source(x, y, z + 1)
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120 float f101, // source(x + 1, y, z + 1)
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121 float f110, // source(x, y + 1, z + 1)
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122 float f111); // source(x + 1, y + 1, z + 1)
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123 };
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124 }
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125
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126
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127 float OrthancStone::GeometryToolbox::ComputeBilinearInterpolationInternal(float x,
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128 float y,
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129 float f00,
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130 float f01,
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131 float f10,
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132 float f11)
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133 {
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134 // This function only works on fractional parts
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135 assert(x >= 0 && y >= 0 && x < 1 && y < 1);
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136
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137 // https://en.wikipedia.org/wiki/Bilinear_interpolation#Unit_square
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138 return (f00 * (1.0f - x) * (1.0f - y) +
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139 f01 * x * (1.0f - y) +
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140 f10 * (1.0f - x) * y +
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141 f11 * x * y);
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142 }
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144
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145 float OrthancStone::GeometryToolbox::ComputeBilinearInterpolation(float x,
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146 float y,
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147 float f00,
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148 float f01,
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149 float f10,
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150 float f11)
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151 {
172
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152 // Compute the fractional part of (x,y)
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153 float xx = x - std::floor(x);
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154 float yy = y - std::floor(y);
144
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155
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156 return ComputeBilinearInterpolationInternal(xx, yy, f00, f01, f10, f11);
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157 }
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158
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159
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160 float OrthancStone::GeometryToolbox::ComputeTrilinearInterpolation(float x,
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161 float y,
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162 float z,
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163 float f000,
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164 float f001,
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165 float f010,
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166 float f011,
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167 float f100,
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168 float f101,
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169 float f110,
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170 float f111)
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171 {
172
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172 float xx = x - std::floor(x);
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173 float yy = y - std::floor(y);
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174 float zz = z - std::floor(z);
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175
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176 // "In practice, a trilinear interpolation is identical to two
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177 // bilinear interpolation combined with a linear interpolation"
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178 // https://en.wikipedia.org/wiki/Trilinear_interpolation#Method
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179 float a = ComputeBilinearInterpolationInternal(xx, yy, f000, f001, f010, f011);
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180 float b = ComputeBilinearInterpolationInternal(xx, yy, f100, f101, f110, f111);
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181
175
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182 return (1.0f - zz) * a + zz * b;
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183 }