Mercurial > hg > orthanc-stone
annotate Framework/Toolbox/GeometryToolbox.cpp @ 135:e2fe9352f240 wasm
upgrade to year 2018
| author | Sebastien Jodogne <s.jodogne@gmail.com> |
|---|---|
| date | Tue, 02 Jan 2018 09:56:08 +0100 |
| parents | a4d0b6c82b29 |
| children | 2115530d3703 |
| rev | line source |
|---|---|
| 0 | 1 /** |
| 2 * Stone of Orthanc | |
| 3 * Copyright (C) 2012-2016 Sebastien Jodogne, Medical Physics | |
| 4 * Department, University Hospital of Liege, Belgium | |
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5 * Copyright (C) 2017-2018 Osimis S.A., Belgium |
| 0 | 6 * |
| 7 * This program is free software: you can redistribute it and/or | |
| 47 | 8 * modify it under the terms of the GNU Affero General Public License |
| 9 * as published by the Free Software Foundation, either version 3 of | |
| 10 * the License, or (at your option) any later version. | |
| 0 | 11 * |
| 12 * This program is distributed in the hope that it will be useful, but | |
| 13 * WITHOUT ANY WARRANTY; without even the implied warranty of | |
| 47 | 14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| 15 * Affero General Public License for more details. | |
| 16 * | |
| 17 * You should have received a copy of the GNU Affero General Public License | |
| 0 | 18 * along with this program. If not, see <http://www.gnu.org/licenses/>. |
| 19 **/ | |
| 20 | |
| 21 | |
| 22 #include "GeometryToolbox.h" | |
| 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> |
| 0 | 27 |
| 28 #include <stdio.h> | |
| 29 #include <boost/lexical_cast.hpp> | |
| 30 | |
| 31 namespace OrthancStone | |
| 32 { | |
| 33 namespace GeometryToolbox | |
| 34 { | |
| 35 void Print(const Vector& v) | |
| 36 { | |
| 37 for (size_t i = 0; i < v.size(); i++) | |
| 38 { | |
| 39 printf("%8.2f\n", v[i]); | |
| 40 } | |
| 41 printf("\n"); | |
| 42 } | |
| 43 | |
| 44 | |
| 45 bool ParseVector(Vector& target, | |
| 46 const std::string& value) | |
| 47 { | |
| 48 std::vector<std::string> items; | |
| 49 Orthanc::Toolbox::TokenizeString(items, value, '\\'); | |
| 50 | |
| 51 target.resize(items.size()); | |
| 52 | |
| 53 for (size_t i = 0; i < items.size(); i++) | |
| 54 { | |
| 55 try | |
| 56 { | |
| 57 target[i] = boost::lexical_cast<double>(Orthanc::Toolbox::StripSpaces(items[i])); | |
| 58 } | |
| 59 catch (boost::bad_lexical_cast&) | |
| 60 { | |
| 61 target.clear(); | |
| 62 return false; | |
| 63 } | |
| 64 } | |
| 65 | |
| 66 return true; | |
| 67 } | |
| 68 | |
| 69 | |
| 32 | 70 bool ParseVector(Vector& target, |
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71 const Orthanc::DicomMap& dataset, |
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72 const Orthanc::DicomTag& tag) |
| 32 | 73 { |
| 74 std::string value; | |
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75 return (dataset.CopyToString(value, tag, false) && |
| 32 | 76 ParseVector(target, value)); |
| 77 } | |
| 78 | |
| 79 | |
| 0 | 80 void AssignVector(Vector& v, |
| 81 double v1, | |
| 82 double v2) | |
| 83 { | |
| 84 v.resize(2); | |
| 85 v[0] = v1; | |
| 86 v[1] = v2; | |
| 87 } | |
| 88 | |
| 89 | |
| 90 void AssignVector(Vector& v, | |
| 91 double v1, | |
| 92 double v2, | |
| 93 double v3) | |
| 94 { | |
| 95 v.resize(3); | |
| 96 v[0] = v1; | |
| 97 v[1] = v2; | |
| 98 v[2] = v3; | |
| 99 } | |
| 100 | |
| 101 | |
| 102 bool IsNear(double x, | |
| 103 double y) | |
| 104 { | |
| 105 // As most input is read as single-precision numbers, we take the | |
| 106 // epsilon machine for float32 into consideration to compare numbers | |
| 107 return IsNear(x, y, 10.0 * std::numeric_limits<float>::epsilon()); | |
| 108 } | |
| 109 | |
| 110 | |
| 111 void NormalizeVector(Vector& u) | |
| 112 { | |
| 113 double norm = boost::numeric::ublas::norm_2(u); | |
| 114 if (!IsCloseToZero(norm)) | |
| 115 { | |
| 116 u = u / norm; | |
| 117 } | |
| 118 } | |
| 119 | |
| 120 | |
| 121 void CrossProduct(Vector& result, | |
| 122 const Vector& u, | |
| 123 const Vector& v) | |
| 124 { | |
| 125 if (u.size() != 3 || | |
| 126 v.size() != 3) | |
| 127 { | |
| 128 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange); | |
| 129 } | |
| 130 | |
| 131 result.resize(3); | |
| 132 | |
| 133 result[0] = u[1] * v[2] - u[2] * v[1]; | |
| 134 result[1] = u[2] * v[0] - u[0] * v[2]; | |
| 135 result[2] = u[0] * v[1] - u[1] * v[0]; | |
| 136 } | |
| 137 | |
| 138 | |
| 139 void ProjectPointOntoPlane(Vector& result, | |
| 140 const Vector& point, | |
| 141 const Vector& planeNormal, | |
| 142 const Vector& planeOrigin) | |
| 143 { | |
| 144 double norm = boost::numeric::ublas::norm_2(planeNormal); | |
| 145 if (IsCloseToZero(norm)) | |
| 146 { | |
| 147 // Division by zero | |
| 148 throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange); | |
| 149 } | |
| 150 | |
| 151 // Make sure the norm of the normal is 1 | |
| 152 Vector n; | |
| 153 n = planeNormal / norm; | |
| 154 | |
| 155 // Algebraic form of line–plane intersection, where the line passes | |
| 156 // through "point" along the direction "normal" (thus, l == n) | |
| 157 // https://en.wikipedia.org/wiki/Line%E2%80%93plane_intersection#Algebraic_form | |
| 158 result = boost::numeric::ublas::inner_prod(planeOrigin - point, n) * n + point; | |
| 159 } | |
| 160 | |
| 161 | |
| 162 | |
| 163 bool IsParallelOrOpposite(bool& isOpposite, | |
| 164 const Vector& u, | |
| 165 const Vector& v) | |
| 166 { | |
| 167 // The dot product of the two vectors gives the cosine of the angle | |
| 168 // between the vectors | |
| 169 // https://en.wikipedia.org/wiki/Dot_product | |
| 170 | |
| 171 double normU = boost::numeric::ublas::norm_2(u); | |
| 172 double normV = boost::numeric::ublas::norm_2(v); | |
| 173 | |
| 174 if (IsCloseToZero(normU) || | |
| 175 IsCloseToZero(normV)) | |
| 176 { | |
| 177 return false; | |
| 178 } | |
| 179 | |
| 180 double cosAngle = boost::numeric::ublas::inner_prod(u, v) / (normU * normV); | |
| 181 | |
| 182 // The angle must be zero, so the cosine must be almost equal to | |
| 183 // cos(0) == 1 (or cos(180) == -1 if allowOppositeDirection == true) | |
| 184 | |
| 185 if (IsCloseToZero(cosAngle - 1.0)) | |
| 186 { | |
| 187 isOpposite = false; | |
| 188 return true; | |
| 189 } | |
| 190 else if (IsCloseToZero(fabs(cosAngle) - 1.0)) | |
| 191 { | |
| 192 isOpposite = true; | |
| 193 return true; | |
| 194 } | |
| 195 else | |
| 196 { | |
| 197 return false; | |
| 198 } | |
| 199 } | |
| 200 | |
| 201 | |
| 202 bool IsParallel(const Vector& u, | |
| 203 const Vector& v) | |
| 204 { | |
| 205 bool isOpposite; | |
| 206 return (IsParallelOrOpposite(isOpposite, u, v) && | |
| 207 !isOpposite); | |
| 208 } | |
| 209 | |
| 210 | |
| 211 bool IntersectTwoPlanes(Vector& p, | |
| 212 Vector& direction, | |
| 213 const Vector& origin1, | |
| 214 const Vector& normal1, | |
| 215 const Vector& origin2, | |
| 216 const Vector& normal2) | |
| 217 { | |
| 218 // This is "Intersection of 2 Planes", possibility "(C) 3 Plane | |
| 219 // Intersect Point" of: | |
| 220 // http://geomalgorithms.com/a05-_intersect-1.html | |
| 221 | |
| 222 // The direction of the line of intersection is orthogonal to the | |
| 223 // normal of both planes | |
| 224 CrossProduct(direction, normal1, normal2); | |
| 225 | |
| 226 double norm = boost::numeric::ublas::norm_2(direction); | |
| 227 if (IsCloseToZero(norm)) | |
| 228 { | |
| 229 // The two planes are parallel or coincident | |
| 230 return false; | |
| 231 } | |
| 232 | |
| 233 double d1 = -boost::numeric::ublas::inner_prod(normal1, origin1); | |
| 234 double d2 = -boost::numeric::ublas::inner_prod(normal2, origin2); | |
| 235 Vector tmp = d2 * normal1 - d1 * normal2; | |
| 236 | |
| 237 CrossProduct(p, tmp, direction); | |
| 238 p /= norm; | |
| 239 | |
| 240 return true; | |
| 241 } | |
| 242 | |
| 243 | |
| 244 bool ClipLineToRectangle(double& x1, // Coordinates of the clipped line (out) | |
| 245 double& y1, | |
| 246 double& x2, | |
| 247 double& y2, | |
| 248 const double ax, // Two points defining the line (in) | |
| 249 const double ay, | |
| 250 const double bx, | |
| 251 const double by, | |
| 252 const double& xmin, // Coordinates of the rectangle (in) | |
| 253 const double& ymin, | |
| 254 const double& xmax, | |
| 255 const double& ymax) | |
| 256 { | |
| 257 // This is Skala algorithm for rectangles, "A new approach to line | |
| 258 // and line segment clipping in homogeneous coordinates" | |
| 259 // (2005). This is a direct, non-optimized translation of Algorithm | |
| 260 // 2 in the paper. | |
| 261 | |
| 262 static uint8_t tab1[16] = { 255 /* none */, | |
| 263 0, | |
| 264 0, | |
| 265 1, | |
| 266 1, | |
| 267 255 /* na */, | |
| 268 0, | |
| 269 2, | |
| 270 2, | |
| 271 0, | |
| 272 255 /* na */, | |
| 273 1, | |
| 274 1, | |
| 275 0, | |
| 276 0, | |
| 277 255 /* none */ }; | |
| 278 | |
| 279 | |
| 280 static uint8_t tab2[16] = { 255 /* none */, | |
| 281 3, | |
| 282 1, | |
| 283 3, | |
| 284 2, | |
| 285 255 /* na */, | |
| 286 2, | |
| 287 3, | |
| 288 3, | |
| 289 2, | |
| 290 255 /* na */, | |
| 291 2, | |
| 292 3, | |
| 293 1, | |
| 294 3, | |
| 295 255 /* none */ }; | |
| 296 | |
| 297 // Create the coordinates of the rectangle | |
| 298 Vector x[4]; | |
| 299 AssignVector(x[0], xmin, ymin, 1.0); | |
| 300 AssignVector(x[1], xmax, ymin, 1.0); | |
| 301 AssignVector(x[2], xmax, ymax, 1.0); | |
| 302 AssignVector(x[3], xmin, ymax, 1.0); | |
| 303 | |
| 304 // Move to homogoneous coordinates in 2D | |
| 305 Vector p; | |
| 306 | |
| 307 { | |
| 308 Vector a, b; | |
| 309 AssignVector(a, ax, ay, 1.0); | |
| 310 AssignVector(b, bx, by, 1.0); | |
| 311 CrossProduct(p, a, b); | |
| 312 } | |
| 313 | |
| 314 uint8_t c = 0; | |
| 315 | |
| 316 for (unsigned int k = 0; k < 4; k++) | |
| 317 { | |
| 318 if (boost::numeric::ublas::inner_prod(p, x[k]) >= 0) | |
| 319 { | |
| 320 c |= (1 << k); | |
| 321 } | |
| 322 } | |
| 323 | |
| 324 assert(c < 16); | |
| 325 | |
| 326 uint8_t i = tab1[c]; | |
| 327 uint8_t j = tab2[c]; | |
| 328 | |
| 329 if (i == 255 || j == 255) | |
| 330 { | |
| 331 return false; // No intersection | |
| 332 } | |
| 333 else | |
| 334 { | |
| 335 Vector a, b, e; | |
| 336 CrossProduct(e, x[i], x[(i + 1) % 4]); | |
| 337 CrossProduct(a, p, e); | |
| 338 CrossProduct(e, x[j], x[(j + 1) % 4]); | |
| 339 CrossProduct(b, p, e); | |
| 340 | |
| 341 // Go back to non-homogeneous coordinates | |
| 342 x1 = a[0] / a[2]; | |
| 343 y1 = a[1] / a[2]; | |
| 344 x2 = b[0] / b[2]; | |
| 345 y2 = b[1] / b[2]; | |
| 346 | |
| 347 return true; | |
| 348 } | |
| 349 } | |
| 32 | 350 |
| 351 | |
| 352 void GetPixelSpacing(double& spacingX, | |
| 353 double& spacingY, | |
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354 const Orthanc::DicomMap& dicom) |
| 32 | 355 { |
| 356 Vector v; | |
| 357 | |
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358 if (ParseVector(v, dicom, Orthanc::DICOM_TAG_PIXEL_SPACING)) |
| 32 | 359 { |
| 360 if (v.size() != 2 || | |
| 361 v[0] <= 0 || | |
| 362 v[1] <= 0) | |
| 363 { | |
| 364 LOG(ERROR) << "Bad value for PixelSpacing tag"; | |
| 365 throw Orthanc::OrthancException(Orthanc::ErrorCode_BadFileFormat); | |
| 366 } | |
| 367 else | |
| 368 { | |
| 369 spacingX = v[0]; | |
| 370 spacingY = v[1]; | |
| 371 } | |
| 372 } | |
| 373 else | |
| 374 { | |
| 375 // The "PixelSpacing" is of type 1C: It could be absent, use | |
| 376 // default value in such a case | |
| 377 spacingX = 1; | |
| 378 spacingY = 1; | |
| 379 } | |
| 380 } | |
| 0 | 381 } |
| 382 } |