annotate Framework/Toolbox/ShearWarpProjectiveTransform.cpp @ 191:46cb2eedc2e0 wasm

ShearWarpProjectiveTransform
author Sebastien Jodogne <s.jodogne@gmail.com>
date Fri, 16 Mar 2018 15:01:52 +0100
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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) 2017-2018 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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20
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21
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22 #include "ShearWarpProjectiveTransform.h"
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23
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24 #include "ImageGeometry.h"
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25 #include "Extent2D.h"
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26 #include "FiniteProjectiveCamera.h"
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27 #include "GeometryToolbox.h"
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28
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29 #include <Core/OrthancException.h>
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30 #include <Core/Logging.h>
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31
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32 #include <boost/numeric/ublas/matrix_proxy.hpp>
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33 #include <cassert>
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34
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35
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36 namespace OrthancStone
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37 {
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38 static bool IsValidShear(const Matrix& M_shear)
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39 {
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40 return (LinearAlgebra::IsCloseToZero(M_shear(0, 1)) &&
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41 LinearAlgebra::IsCloseToZero(M_shear(1, 0)) &&
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42 LinearAlgebra::IsCloseToZero(M_shear(2, 0)) &&
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43 LinearAlgebra::IsCloseToZero(M_shear(2, 1)) &&
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44 LinearAlgebra::IsNear(1.0, M_shear(2, 2)) &&
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45 LinearAlgebra::IsCloseToZero(M_shear(2, 3)) &&
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46 LinearAlgebra::IsCloseToZero(M_shear(3, 0)) &&
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47 LinearAlgebra::IsCloseToZero(M_shear(3, 1)) &&
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48 LinearAlgebra::IsNear(1.0, M_shear(3, 3)));
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49 }
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50
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51
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52 static void ComputeShearParameters(double& scaling,
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53 double& offsetX,
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54 double& offsetY,
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55 const Matrix& shear,
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56 double z)
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57 {
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58 // Check out: ../../Resources/Computations/ComputeShearParameters.py
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59
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60 if (!LinearAlgebra::IsShearMatrix(shear))
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61 {
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62 LOG(ERROR) << "Not a valid shear matrix";
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63 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
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64 }
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65
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66 scaling = 1.0 / (shear(3,2) * z + 1.0);
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67 offsetX = shear(0,2) * z * scaling;
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68 offsetY = shear(1,2) * z * scaling;
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69 }
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70
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71
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72 ShearWarpProjectiveTransform::
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73 ShearWarpProjectiveTransform(const Matrix& M_view,
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74 //const Matrix& P, // Permutation applied to the volume
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75 unsigned int volumeWidth,
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76 unsigned int volumeHeight,
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77 unsigned int volumeDepth,
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78 double pixelSpacingX,
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79 double pixelSpacingY,
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80 unsigned int imageWidth,
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81 unsigned int imageHeight)
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82 {
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83 eye_o.resize(4);
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84
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85 {
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86 // Find back the camera center given the "M_view" matrix
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87 const double m11 = M_view(0, 0);
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88 const double m12 = M_view(0, 1);
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89 const double m13 = M_view(0, 2);
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90 const double m14 = M_view(0, 3);
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91 const double m21 = M_view(1, 0);
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92 const double m22 = M_view(1, 1);
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93 const double m23 = M_view(1, 2);
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94 const double m24 = M_view(1, 3);
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95 const double m41 = M_view(3, 0);
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96 const double m42 = M_view(3, 1);
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97 const double m43 = M_view(3, 2);
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98 const double m44 = M_view(3, 3);
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99
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100 // Equations (A.8) to (A.11) on page 203. Also check out
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101 // "Finding the camera center" in "Multiple View Geometry in
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102 // Computer Vision - 2nd edition", page 163.
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103 const double vx[9] = { m12, m13, m14, m22, m23, m24, m42, m43, m44 };
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104 const double vy[9] = { m11, m13, m14, m21, m23, m24, m41, m43, m44 };
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105 const double vz[9] = { m11, m12, m14, m21, m22, m24, m41, m42, m44 };
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106 const double vw[9] = { m11, m12, m13, m21, m22, m23, m41, m42, m43 };
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107
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108 Matrix m;
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109
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110 LinearAlgebra::FillMatrix(m, 3, 3, vx);
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111 eye_o[0] = -LinearAlgebra::ComputeDeterminant(m);
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112
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113 LinearAlgebra::FillMatrix(m, 3, 3, vy);
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114 eye_o[1] = LinearAlgebra::ComputeDeterminant(m);
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115
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116 LinearAlgebra::FillMatrix(m, 3, 3, vz);
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117 eye_o[2] = -LinearAlgebra::ComputeDeterminant(m);
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118
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119 LinearAlgebra::FillMatrix(m, 3, 3, vw);
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120 eye_o[3] = LinearAlgebra::ComputeDeterminant(m);
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121
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122 if (LinearAlgebra::IsCloseToZero(eye_o[3]))
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123 {
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124 LOG(ERROR) << "The shear-warp projective transform is not applicable to affine cameras";
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125 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
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126 }
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127 }
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128
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129 #if 0
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130 // Assume "T_shift = I" (the eye does not lie on plane k = 0)
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131 const Matrix T_shift = LinearAlgebra::IdentityMatrix(4);
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132
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133 // Equation (A.13) on page 204, given that the inverse of a
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134 // permutation matrix is its transpose (TODO CHECK). If no T_shift
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135 // or permutation P is applied, M'_view == M_view
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136 const Matrix MM_view = LinearAlgebra::Product(
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137 M_view,
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138 LinearAlgebra::Transpose(P),
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139 LinearAlgebra::InvertScalingTranslationMatrix(T_shift));
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140 #else
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141 // This is a shortcut, as we take "T_shift = I" and "P = I"
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142 const Matrix MM_view = M_view;
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143 #endif
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144
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145 // Equation (A.14) on page 207
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146 Matrix MM_shear = LinearAlgebra::IdentityMatrix(4);
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147 MM_shear(0, 2) = -eye_o[0] / eye_o[2];
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148 MM_shear(1, 2) = -eye_o[1] / eye_o[2];
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149 MM_shear(3, 2) = -eye_o[3] / eye_o[2];
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150
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151
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152 // Compute the extent of the intermediate image
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153 Extent2D extent;
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154 double maxScaling = 1;
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155
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156 {
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157 // Compute the shearing factors of the two extreme planes of the
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158 // volume (z=0 and z=volumeDepth)
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159 double scaling, offsetX, offsetY;
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160 ComputeShearParameters(scaling, offsetX, offsetY, MM_shear, 0);
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161
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162 if (scaling > 0)
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163 {
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164 extent.AddPoint(offsetX, offsetY);
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165 extent.AddPoint(offsetX + static_cast<double>(volumeWidth) * scaling,
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166 offsetY + static_cast<double>(volumeHeight) * scaling);
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167
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168 if (scaling > maxScaling)
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169 {
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170 maxScaling = scaling;
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171 }
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172 }
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173
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174 ComputeShearParameters(scaling, offsetX, offsetY, MM_shear, volumeDepth);
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175
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176 if (scaling > 0)
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177 {
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178 extent.AddPoint(offsetX, offsetY);
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179 extent.AddPoint(offsetX + static_cast<double>(volumeWidth) * scaling,
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180 offsetY + static_cast<double>(volumeHeight) * scaling);
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181
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182 if (scaling > maxScaling)
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183 {
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184 maxScaling = scaling;
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185 }
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186 }
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187 }
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188
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189 if (LinearAlgebra::IsCloseToZero(extent.GetWidth()) ||
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190 LinearAlgebra::IsCloseToZero(extent.GetHeight()))
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191 {
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192 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
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193 }
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194
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195 intermediateWidth_ = std::ceil(extent.GetWidth() / maxScaling);
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196 intermediateHeight_ = std::ceil(extent.GetHeight() / maxScaling);
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197
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198 // This is the product "T * S" in Equation (A.16) on page 209
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199 Matrix TS = LinearAlgebra::Product(
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200 GeometryToolbox::CreateTranslationMatrix(static_cast<double>(intermediateWidth_) / 2.0,
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201 static_cast<double>(intermediateHeight_) / 2.0, 0),
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202 GeometryToolbox::CreateScalingMatrix(1.0 / maxScaling, 1.0 / maxScaling, 1),
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203 GeometryToolbox::CreateTranslationMatrix(-extent.GetCenterX(), -extent.GetCenterY(), 0));
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204
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205 // This is Equation (A.16) on page 209. WARNING: There is an
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206 // error in Lacroute's thesis: "inv(MM_shear)" is used instead
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207 // of "MM_shear".
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208 M_shear = LinearAlgebra::Product(TS, MM_shear);
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209
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210 if (!IsValidShear(M_shear))
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211 {
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212 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
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213 }
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214
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215 // This is Equation (A.17) on page 209
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216 Matrix tmp;
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217 LinearAlgebra::InvertMatrix(tmp, M_shear);
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218 M_warp = LinearAlgebra::Product(MM_view, tmp);
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219
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220 // Intrinsic parameters of the camera
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221 k_ = LinearAlgebra::ZeroMatrix(3, 4);
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222 k_(0, 0) = 1.0 / pixelSpacingX;
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223 k_(0, 3) = static_cast<double>(imageWidth) / 2.0;
46cb2eedc2e0 ShearWarpProjectiveTransform
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224 k_(1, 1) = 1.0 / pixelSpacingY;
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225 k_(1, 3) = static_cast<double>(imageHeight) / 2.0;
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226 k_(2, 3) = 1.0;
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227 }
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228
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229
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230 FiniteProjectiveCamera *ShearWarpProjectiveTransform::CreateCamera() const
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231 {
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232 Matrix p = LinearAlgebra::Product(k_, M_warp, M_shear);
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233 return new FiniteProjectiveCamera(p);
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234 }
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235
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236
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237 void ShearWarpProjectiveTransform::ComputeShearOnSlice(double& a11,
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238 double& b1,
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239 double& a22,
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240 double& b2,
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241 double& shearedZ,
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242 const double sourceZ)
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243 {
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244 // Check out: ../../Resources/Computations/ComputeShearOnSlice.py
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245 assert(IsValidShear(M_shear));
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246
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247 const double s11 = M_shear(0, 0);
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248 const double s13 = M_shear(0, 2);
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249 const double s14 = M_shear(0, 3);
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250 const double s22 = M_shear(1, 1);
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251 const double s23 = M_shear(1, 2);
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252 const double s24 = M_shear(1, 3);
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253 const double s43 = M_shear(3, 2);
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254
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255 double scaling = 1.0 / (s43 * sourceZ + 1.0);
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256 shearedZ = sourceZ * scaling;
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257
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258 a11 = s11 * scaling;
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259 a22 = s22 * scaling;
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260
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261 b1 = (s13 * sourceZ + s14) * scaling;
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262 b2 = (s23 * sourceZ + s24) * scaling;
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263 }
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264
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265
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266 Matrix ShearWarpProjectiveTransform::CalibrateView(const Vector& camera,
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267 const Vector& principalPoint,
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268 double angle)
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Sebastien Jodogne <s.jodogne@gmail.com>
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269 {
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270 if (camera.size() != 3 ||
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271 principalPoint.size() != 3)
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272 {
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273 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange);
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274 }
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275
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276 const double sid = boost::numeric::ublas::norm_2(camera - principalPoint);
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277
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278 Matrix a;
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279 GeometryToolbox::AlignVectorsWithRotation(a, camera - principalPoint,
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280 LinearAlgebra::CreateVector(0, 0, -1));
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281
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282 Matrix r = LinearAlgebra::Product(GeometryToolbox::CreateRotationMatrixAlongZ(angle), a);
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283
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284 a = LinearAlgebra::ZeroMatrix(4, 4);
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285 boost::numeric::ublas::subrange(a, 0, 3, 0, 3) = r;
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286
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287 const Vector v = LinearAlgebra::Product(r, -camera);
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288 a(0, 3) = v[0];
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289 a(1, 3) = v[1];
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290 a(2, 3) = v[2];
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291 a(3, 3) = 1;
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292
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293 Matrix perspective = LinearAlgebra::ZeroMatrix(4, 4);
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294 // https://stackoverflow.com/questions/5267866/calculation-of-a-perspective-transformation-matrix
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295 perspective(0, 0) = sid;
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296 perspective(1, 1) = sid;
46cb2eedc2e0 ShearWarpProjectiveTransform
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297 perspective(2, 2) = sid;
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298 perspective(3, 2) = 1;
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299
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300 Matrix M_view = LinearAlgebra::Product(perspective, a);
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301 assert(M_view.size1() == 4 &&
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302 M_view.size2() == 4);
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303
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304 {
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305 // Sanity checks
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306 Vector p1 = LinearAlgebra::CreateVector(camera[0], camera[1], camera[2], 1.0);
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307 Vector p2 = LinearAlgebra::CreateVector(principalPoint[0], principalPoint[1], principalPoint[2], 1.0);
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308
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309 Vector v1 = LinearAlgebra::Product(M_view, p1);
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310 Vector v2 = LinearAlgebra::Product(M_view, p2);
46cb2eedc2e0 ShearWarpProjectiveTransform
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311
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312 if (!LinearAlgebra::IsCloseToZero(v1[3]) || // Must be mapped to singularity (w=0)
46cb2eedc2e0 ShearWarpProjectiveTransform
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313 LinearAlgebra::IsCloseToZero(v2[3]))
46cb2eedc2e0 ShearWarpProjectiveTransform
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314 {
46cb2eedc2e0 ShearWarpProjectiveTransform
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315 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
46cb2eedc2e0 ShearWarpProjectiveTransform
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parents:
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316 }
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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317
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
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318 // The principal point must be mapped to (0,0,z,1)
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
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319 v2 /= v2[3];
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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320 if (!LinearAlgebra::IsCloseToZero(v2[0]) ||
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
321 !LinearAlgebra::IsCloseToZero(v2[1]))
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
diff changeset
322 {
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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323 throw Orthanc::OrthancException(Orthanc::ErrorCode_InternalError);
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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324 }
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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325 }
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
parents:
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326
46cb2eedc2e0 ShearWarpProjectiveTransform
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327 return M_view;
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Sebastien Jodogne <s.jodogne@gmail.com>
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328 }
46cb2eedc2e0 ShearWarpProjectiveTransform
Sebastien Jodogne <s.jodogne@gmail.com>
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329 }