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| 1 | /* | ||
| 2 | * Copyright (c) 2000-2022 Inria | ||
| 3 | * All rights reserved. | ||
| 4 | * | ||
| 5 | * Redistribution and use in source and binary forms, with or without | ||
| 6 | * modification, are permitted provided that the following conditions are met: | ||
| 7 | * | ||
| 8 | * * Redistributions of source code must retain the above copyright notice, | ||
| 9 | * this list of conditions and the following disclaimer. | ||
| 10 | * * Redistributions in binary form must reproduce the above copyright notice, | ||
| 11 | * this list of conditions and the following disclaimer in the documentation | ||
| 12 | * and/or other materials provided with the distribution. | ||
| 13 | * * Neither the name of the ALICE Project-Team nor the names of its | ||
| 14 | * contributors may be used to endorse or promote products derived from this | ||
| 15 | * software without specific prior written permission. | ||
| 16 | * | ||
| 17 | * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" | ||
| 18 | * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | ||
| 19 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | ||
| 20 | * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE | ||
| 21 | * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR | ||
| 22 | * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF | ||
| 23 | * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS | ||
| 24 | * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN | ||
| 25 | * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | ||
| 26 | * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | ||
| 27 | * POSSIBILITY OF SUCH DAMAGE. | ||
| 28 | * | ||
| 29 | * Contact: Bruno Levy | ||
| 30 | * | ||
| 31 | * https://www.inria.fr/fr/bruno-levy | ||
| 32 | * | ||
| 33 | * Inria, | ||
| 34 | * Domaine de Voluceau, | ||
| 35 | * 78150 Le Chesnay - Rocquencourt | ||
| 36 | * FRANCE | ||
| 37 | * | ||
| 38 | */ | ||
| 39 | |||
| 40 | #include <geogram/mesh/mesh_local_operations.h> | ||
| 41 | #include <geogram/mesh/mesh_halfedges.h> | ||
| 42 | #include <geogram/mesh/mesh.h> | ||
| 43 | |||
| 44 | namespace { | ||
| 45 | |||
| 46 | using namespace GEO; | ||
| 47 | |||
| 48 | /** | ||
| 49 | * \brief Finds the corner of a facet that is adjacent to a given facet. | ||
| 50 | * \param[in] M a const reference to a Mesh | ||
| 51 | * \param[in] f a facet index in \p M | ||
| 52 | * \param[in] f_adj a facet index in \p M | ||
| 53 | * \return the corner of facet \p f that is adjacent to facet \p f_adj | ||
| 54 | * or NO_FACET if no such corner exists | ||
| 55 | */ | ||
| 56 | ✗ | index_t find_corner_by_adjacent_facet( | |
| 57 | const Mesh& M, index_t f, index_t f_adj | ||
| 58 | ) { | ||
| 59 | ✗ | for(index_t c: M.facets.corners(f)) { | |
| 60 | ✗ | if(M.facet_corners.adjacent_facet(c) == f_adj) { | |
| 61 | return c; | ||
| 62 | } | ||
| 63 | } | ||
| 64 | return NO_CORNER; | ||
| 65 | } | ||
| 66 | |||
| 67 | /** | ||
| 68 | * \brief Copies a mesh vertex. | ||
| 69 | * \details It is not correct to use: | ||
| 70 | * \code | ||
| 71 | * M.vertices.create_vertex(M.vertices.point_ptr(v)); | ||
| 72 | * \endcode | ||
| 73 | * because Mesh::create_vertex() may realloc the points coordinates | ||
| 74 | * vector, thus invalidating M.vertices.point_ptr(v). | ||
| 75 | * \param[in] M a reference to the mesh | ||
| 76 | * \param[in] v the index of the vertex to be copied | ||
| 77 | * \return the index of the new vertex | ||
| 78 | */ | ||
| 79 | ✗ | index_t copy_vertex(Mesh& M, index_t v) { | |
| 80 | index_t result = M.vertices.create_vertex(); | ||
| 81 | double* to = M.vertices.point_ptr(result); | ||
| 82 | const double* from = M.vertices.point_ptr(v); | ||
| 83 | ✗ | for(index_t c=0; c<M.vertices.dimension(); ++c) { | |
| 84 | ✗ | to[c] = from[c]; | |
| 85 | } | ||
| 86 | ✗ | return result; | |
| 87 | } | ||
| 88 | } | ||
| 89 | |||
| 90 | |||
| 91 | /****************************************************************************/ | ||
| 92 | |||
| 93 | namespace GEO { | ||
| 94 | |||
| 95 | ✗ | void glue_edges( | |
| 96 | Mesh& M, | ||
| 97 | index_t f1, index_t c1, | ||
| 98 | index_t f2, index_t c2 | ||
| 99 | ) { | ||
| 100 | ✗ | geo_assert(M.facet_corners.adjacent_facet(c1) == NO_FACET); | |
| 101 | ✗ | geo_assert(M.facet_corners.adjacent_facet(c2) == NO_FACET); | |
| 102 | geo_debug_assert(c1 >= M.facets.corners_begin(f1)); | ||
| 103 | geo_debug_assert(c1 < M.facets.corners_end(f1)); | ||
| 104 | geo_debug_assert(c2 >= M.facets.corners_begin(f2)); | ||
| 105 | geo_debug_assert(c2 < M.facets.corners_end(f2)); | ||
| 106 | |||
| 107 | |||
| 108 | // Glue geometry | ||
| 109 | { | ||
| 110 | index_t v1 = M.facet_corners.vertex(c1); | ||
| 111 | index_t v2 = M.facet_corners.vertex( | ||
| 112 | M.facets.next_corner_around_facet(f1,c1) | ||
| 113 | ); | ||
| 114 | |||
| 115 | double* p1 = M.vertices.point_ptr(v1); | ||
| 116 | double* p2 = M.vertices.point_ptr(v2); | ||
| 117 | |||
| 118 | index_t w1 = M.facet_corners.vertex(c2); | ||
| 119 | index_t w2 = M.facet_corners.vertex( | ||
| 120 | M.facets.next_corner_around_facet(f2,c2) | ||
| 121 | ); | ||
| 122 | |||
| 123 | double* q1 = M.vertices.point_ptr(w1); | ||
| 124 | double* q2 = M.vertices.point_ptr(w2); | ||
| 125 | |||
| 126 | ✗ | for(index_t c=0; c<M.vertices.dimension(); ++c) { | |
| 127 | ✗ | p1[c] = 0.5*(p1[c] + q2[c]); | |
| 128 | ✗ | q1[c] = 0.5*(q1[c] + p2[c]); | |
| 129 | } | ||
| 130 | } | ||
| 131 | |||
| 132 | |||
| 133 | index_t f[2]; | ||
| 134 | ✗ | f[0] = f1; | |
| 135 | ✗ | f[1] = f2; | |
| 136 | index_t c[2]; | ||
| 137 | ✗ | c[0] = c1; | |
| 138 | ✗ | c[1] = c2; | |
| 139 | |||
| 140 | ✗ | vector<index_t> delete_vertex(M.vertices.nb(),0); | |
| 141 | |||
| 142 | // We need to keep the corners to update in a temporary | ||
| 143 | // vector, since updating them during the traversal would | ||
| 144 | // break the traversal (don't saw the branch you are sitting | ||
| 145 | // on !!) | ||
| 146 | |||
| 147 | ✗ | for(index_t k=0; k<2; ++k) { | |
| 148 | ✗ | index_t v = M.facet_corners.vertex(c[k]); | |
| 149 | vector<index_t> corners_to_update; | ||
| 150 | MeshHalfedges MH(M); | ||
| 151 | { | ||
| 152 | ✗ | MeshHalfedges::Halfedge H(f[k],c[k]); | |
| 153 | do { | ||
| 154 | ✗ | index_t w = M.facet_corners.vertex(H.corner); | |
| 155 | ✗ | if(w != v) { | |
| 156 | ✗ | delete_vertex[w] = 1; | |
| 157 | corners_to_update.push_back(H.corner); | ||
| 158 | } | ||
| 159 | ✗ | } while(MH.move_to_prev_around_vertex(H)); | |
| 160 | } | ||
| 161 | { | ||
| 162 | ✗ | MeshHalfedges::Halfedge H(f[1-k], c[1-k]); | |
| 163 | ✗ | MH.move_to_next_around_border(H); | |
| 164 | do { | ||
| 165 | ✗ | index_t w = M.facet_corners.vertex(H.corner); | |
| 166 | ✗ | if(w != v) { | |
| 167 | ✗ | delete_vertex[w] = 1; | |
| 168 | corners_to_update.push_back(H.corner); | ||
| 169 | } | ||
| 170 | ✗ | } while(MH.move_to_prev_around_vertex(H)); | |
| 171 | |||
| 172 | } | ||
| 173 | ✗ | for(index_t i=0; i<corners_to_update.size(); ++i) { | |
| 174 | ✗ | M.facet_corners.set_vertex( | |
| 175 | corners_to_update[i],v | ||
| 176 | ); | ||
| 177 | } | ||
| 178 | } | ||
| 179 | |||
| 180 | M.facet_corners.set_adjacent_facet(c[0],f[1]); | ||
| 181 | M.facet_corners.set_adjacent_facet(c[1],f[0]); | ||
| 182 | |||
| 183 | |||
| 184 | |||
| 185 | ✗ | M.vertices.delete_elements(delete_vertex); | |
| 186 | ✗ | } | |
| 187 | |||
| 188 | ✗ | void unglue_edges( | |
| 189 | Mesh& M, | ||
| 190 | index_t f1, index_t c1 | ||
| 191 | ) { | ||
| 192 | geo_debug_assert(c1 >= M.facets.corners_begin(f1)); | ||
| 193 | geo_debug_assert(c1 < M.facets.corners_end(f1)); | ||
| 194 | index_t f2 = M.facet_corners.adjacent_facet(c1); | ||
| 195 | ✗ | geo_assert(f2 != NO_FACET); | |
| 196 | ✗ | index_t c2 = find_corner_by_adjacent_facet(M,f2,f1); | |
| 197 | ✗ | geo_assert(c2 != NO_CORNER); | |
| 198 | |||
| 199 | M.facet_corners.set_adjacent_facet(c1,NO_FACET); | ||
| 200 | M.facet_corners.set_adjacent_facet(c2,NO_FACET); | ||
| 201 | |||
| 202 | // Now, we need to determine whether edge extremities were dissociated. | ||
| 203 | |||
| 204 | MeshHalfedges MH(M); | ||
| 205 | |||
| 206 | MeshHalfedges::Halfedge H1(f1,c1); | ||
| 207 | MeshHalfedges::Halfedge H2(f2,c2); | ||
| 208 | |||
| 209 | ✗ | MeshHalfedges::Halfedge H1_prev(H1); | |
| 210 | ✗ | MH.move_to_prev_around_border(H1_prev); | |
| 211 | ✗ | MeshHalfedges::Halfedge H1_next(H1); | |
| 212 | ✗ | MH.move_to_next_around_border(H1_next); | |
| 213 | |||
| 214 | // If the predecessor of H1 around the border is not H2, then | ||
| 215 | // H1's origin was splitted into two vertices. Thus we | ||
| 216 | // create the new vertex and assign it to H1's origin (c1). | ||
| 217 | if(H1_prev != H2) { | ||
| 218 | vector<index_t> corners_to_update; | ||
| 219 | index_t v = M.facet_corners.vertex(c1); | ||
| 220 | ✗ | index_t new_v = copy_vertex(M,v); | |
| 221 | |||
| 222 | // Note: we cannot set the corner vertices while we | ||
| 223 | // are traversing, since traversal relies on corner-vertex | ||
| 224 | // relations (do not saw the branch you are sitting on...), | ||
| 225 | // thus we store the corners to be updated in a temporary | ||
| 226 | // vector (a bit ugly, but not a big drama). | ||
| 227 | ✗ | MeshHalfedges::Halfedge H(H1); | |
| 228 | do { | ||
| 229 | corners_to_update.push_back(H.corner); | ||
| 230 | ✗ | } while(MH.move_to_prev_around_vertex(H)); | |
| 231 | ✗ | for(index_t i=0; i<corners_to_update.size(); ++i) { | |
| 232 | ✗ | M.facet_corners.set_vertex( | |
| 233 | corners_to_update[i],new_v | ||
| 234 | ); | ||
| 235 | } | ||
| 236 | } | ||
| 237 | |||
| 238 | // If the successor of H1 around the border is not H2, then | ||
| 239 | // H2's origin was splitted into two vertices. Thus we | ||
| 240 | // create the new vertex and assign it to H2's origin (c2). | ||
| 241 | if(H1_next != H2) { | ||
| 242 | vector<index_t> corners_to_update; | ||
| 243 | index_t v = M.facet_corners.vertex(c2); | ||
| 244 | ✗ | index_t new_v = copy_vertex(M,v); | |
| 245 | // Note: we cannot set the corner vertices while we | ||
| 246 | // are traversing, since traversal relies on corner-vertex | ||
| 247 | // relations (do not saw the branch you are sitting on...), | ||
| 248 | // thus we store the corners to be updated in a temporary | ||
| 249 | // vector (a bit ugly, but not a big drama). | ||
| 250 | ✗ | MeshHalfedges::Halfedge H(H2); | |
| 251 | do { | ||
| 252 | corners_to_update.push_back(H.corner); | ||
| 253 | ✗ | } while(MH.move_to_prev_around_vertex(H)); | |
| 254 | ✗ | for(index_t i=0; i<corners_to_update.size(); ++i) { | |
| 255 | ✗ | M.facet_corners.set_vertex( | |
| 256 | corners_to_update[i],new_v | ||
| 257 | ); | ||
| 258 | } | ||
| 259 | } | ||
| 260 | ✗ | } | |
| 261 | |||
| 262 | ✗ | bool flip_edge(Mesh& M, index_t t1, index_t e) { | |
| 263 | ✗ | geo_assert(M.facets.are_simplices()); | |
| 264 | index_t c11 = e; | ||
| 265 | index_t t2 = M.facets.adjacent(t1,c11); | ||
| 266 | ✗ | if(t2 == NO_INDEX) { | |
| 267 | return false; | ||
| 268 | } | ||
| 269 | ✗ | index_t c21 = M.facets.find_adjacent(t2,t1); | |
| 270 | ✗ | geo_assert(c21 != NO_INDEX); | |
| 271 | |||
| 272 | ✗ | index_t c12 = (c11+1)%3; | |
| 273 | index_t t12 = M.facets.adjacent(t1,c12); | ||
| 274 | ✗ | index_t c12_back = (t12 == NO_INDEX) ? NO_INDEX | |
| 275 | ✗ | : M.facets.find_adjacent(t12,t1); | |
| 276 | |||
| 277 | ✗ | index_t c13 = (c12+1)%3; | |
| 278 | index_t t13 = M.facets.adjacent(t1,c13); | ||
| 279 | ✗ | index_t c13_back = (t13 == NO_INDEX) ? NO_INDEX | |
| 280 | ✗ | : M.facets.find_adjacent(t13,t1); | |
| 281 | |||
| 282 | ✗ | index_t c22 = (c21+1)%3; | |
| 283 | index_t t22 = M.facets.adjacent(t2,c22); | ||
| 284 | ✗ | index_t c22_back = (t22 == NO_INDEX) ? NO_INDEX | |
| 285 | ✗ | : M.facets.find_adjacent(t22,t2); | |
| 286 | |||
| 287 | ✗ | index_t c23 = (c22+1)%3; | |
| 288 | index_t t23 = M.facets.adjacent(t2,c23); | ||
| 289 | ✗ | index_t c23_back = (t23 == NO_INDEX) ? NO_INDEX | |
| 290 | ✗ | : M.facets.find_adjacent(t23,t2); | |
| 291 | |||
| 292 | index_t v0 = M.facets.vertex(t1,c11); | ||
| 293 | index_t v1 = M.facets.vertex(t1,c12); | ||
| 294 | index_t v2 = M.facets.vertex(t1,c13); | ||
| 295 | index_t v3 = M.facets.vertex(t2,c23); | ||
| 296 | |||
| 297 | M.facets.set_vertex(t1,0,v2); | ||
| 298 | M.facets.set_vertex(t1,1,v3); | ||
| 299 | M.facets.set_vertex(t1,2,v1); | ||
| 300 | |||
| 301 | M.facets.set_vertex(t2,0,v3); | ||
| 302 | M.facets.set_vertex(t2,1,v2); | ||
| 303 | M.facets.set_vertex(t2,2,v0); | ||
| 304 | |||
| 305 | M.facets.set_adjacent(t1,0,t2); | ||
| 306 | M.facets.set_adjacent(t1,1,t23); | ||
| 307 | M.facets.set_adjacent(t1,2,t12); | ||
| 308 | |||
| 309 | M.facets.set_adjacent(t2,0,t1); | ||
| 310 | M.facets.set_adjacent(t2,1,t13); | ||
| 311 | M.facets.set_adjacent(t2,2,t22); | ||
| 312 | |||
| 313 | ✗ | if(t12 != NO_INDEX) { | |
| 314 | M.facets.set_adjacent(t12, c12_back, t1); | ||
| 315 | } | ||
| 316 | ✗ | if(t23 != NO_INDEX) { | |
| 317 | M.facets.set_adjacent(t23, c23_back, t1); | ||
| 318 | } | ||
| 319 | |||
| 320 | ✗ | if(t13 != NO_INDEX) { | |
| 321 | M.facets.set_adjacent(t13, c13_back, t2); | ||
| 322 | } | ||
| 323 | |||
| 324 | ✗ | if(t22 != NO_INDEX) { | |
| 325 | M.facets.set_adjacent(t22, c22_back, t2); | ||
| 326 | } | ||
| 327 | |||
| 328 | return true; | ||
| 329 | } | ||
| 330 | } | ||
| 331 |