OpenMesh
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00001 /*===========================================================================*\ 00002 * * 00003 * OpenMesh * 00004 * Copyright (C) 2001-2011 by Computer Graphics Group, RWTH Aachen * 00005 * www.openmesh.org * 00006 * * 00007 *---------------------------------------------------------------------------* 00008 * This file is part of OpenMesh. * 00009 * * 00010 * OpenMesh is free software: you can redistribute it and/or modify * 00011 * it under the terms of the GNU Lesser General Public License as * 00012 * published by the Free Software Foundation, either version 3 of * 00013 * the License, or (at your option) any later version with the * 00014 * following exceptions: * 00015 * * 00016 * If other files instantiate templates or use macros * 00017 * or inline functions from this file, or you compile this file and * 00018 * link it with other files to produce an executable, this file does * 00019 * not by itself cause the resulting executable to be covered by the * 00020 * GNU Lesser General Public License. This exception does not however * 00021 * invalidate any other reasons why the executable file might be * 00022 * covered by the GNU Lesser General Public License. * 00023 * * 00024 * OpenMesh is distributed in the hope that it will be useful, * 00025 * but WITHOUT ANY WARRANTY; without even the implied warranty of * 00026 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * 00027 * GNU Lesser General Public License for more details. * 00028 * * 00029 * You should have received a copy of the GNU LesserGeneral Public * 00030 * License along with OpenMesh. If not, * 00031 * see <http://www.gnu.org/licenses/>. * 00032 * * 00033 \*===========================================================================*/ 00034 00035 /*===========================================================================*\ 00036 * * 00037 * $Revision: 362 $ * 00038 * $Date: 2011-01-26 10:21:12 +0100 (Mi, 26 Jan 2011) $ * 00039 * * 00040 \*===========================================================================*/ 00041 00046 //============================================================================= 00047 // 00048 // CLASS ModRoundnessT 00049 // 00050 //============================================================================= 00051 00052 #ifndef OPENMESH_TOOLS_MODROUNDNESST_HH 00053 #define OPENMESH_TOOLS_MODROUNDNESST_HH 00054 00055 00056 //== INCLUDES ================================================================= 00057 00058 #include <OpenMesh/Tools/Decimater/ModBaseT.hh> 00059 #include <math.h> 00060 00061 #if defined(OM_CC_MSVC) 00062 # define OM_ENABLE_WARNINGS 4244 00063 # pragma warning(disable : OM_ENABLE_WARNINGS ) 00064 #endif 00065 00066 //== NAMESPACE ================================================================ 00067 00068 namespace OpenMesh { // BEGIN_NS_OPENMESH 00069 namespace Decimater { // BEGIN_NS_DECIMATER 00070 00071 00072 //== CLASS DEFINITION ========================================================= 00073 00074 00077 template <class DecimaterType> 00078 class ModRoundnessT : public ModBaseT<DecimaterType> 00079 { 00080 public: 00081 DECIMATING_MODULE( ModRoundnessT, DecimaterType, Roundness ); 00082 00083 public: 00084 00085 // typedefs 00086 typedef typename Mesh::Point Point; 00087 typedef typename vector_traits<Point>::value_type value_type; 00088 00089 public: 00090 00092 ModRoundnessT( DecimaterType &_dec ) : 00093 Base(_dec, false), 00094 min_r_(-1.0) 00095 { } 00096 00098 ~ModRoundnessT() { } 00099 00100 public: // inherited 00101 00112 float collapse_priority(const CollapseInfo& _ci) 00113 { 00114 // using namespace OpenMesh; 00115 00116 typename Mesh::ConstVertexOHalfedgeIter voh_it(Base::mesh(), _ci.v0); 00117 double r; 00118 double priority = 0.0; //==LEGAL_COLLAPSE 00119 typename Mesh::FaceHandle fhC, fhB; 00120 Vec3f B,C; 00121 00122 if ( min_r_ < 0.0 ) // continues mode 00123 { 00124 C = vector_cast<Vec3f>(Base::mesh().point( Base::mesh().to_vertex_handle(voh_it))); 00125 fhC = Base::mesh().face_handle( voh_it.handle() ); 00126 00127 for (++voh_it; voh_it; ++voh_it) 00128 { 00129 B = C; 00130 fhB = fhC; 00131 C = vector_cast<Vec3f>(Base::mesh().point(Base::mesh().to_vertex_handle(voh_it))); 00132 fhC = Base::mesh().face_handle( voh_it.handle() ); 00133 00134 if ( fhB == _ci.fl || fhB == _ci.fr ) 00135 continue; 00136 00137 // simulate collapse using position of v1 00138 r = roundness( vector_cast<Vec3f>(_ci.p1), B, C ); 00139 00140 // return the maximum non-roundness 00141 priority = std::max( priority, (1.0-r) ); 00142 00143 } 00144 } 00145 else // binary mode 00146 { 00147 C = vector_cast<Vec3f>(Base::mesh().point( Base::mesh().to_vertex_handle(voh_it))); 00148 fhC = Base::mesh().face_handle( voh_it.handle() ); 00149 00150 for (++voh_it; voh_it && (priority==Base::LEGAL_COLLAPSE); ++voh_it) 00151 { 00152 B = C; 00153 fhB = fhC; 00154 C = vector_cast<Vec3f>(Base::mesh().point(Base::mesh().to_vertex_handle(voh_it))); 00155 fhC = Base::mesh().face_handle( voh_it.handle() ); 00156 00157 if ( fhB == _ci.fl || fhB == _ci.fr ) 00158 continue; 00159 00160 priority = ( (r=roundness( vector_cast<Vec3f>(_ci.p1), B, C )) < min_r_) 00161 ? Base::ILLEGAL_COLLAPSE 00162 : Base::LEGAL_COLLAPSE; 00163 } 00164 } 00165 00166 return (float) priority; 00167 } 00168 00169 00170 00171 public: // specific methods 00172 00173 void set_min_angle( float _angle, bool /* _binary=true */ ) 00174 { 00175 assert( _angle > 0 && _angle < 60 ); 00176 00177 _angle = float(M_PI * _angle /180.0); 00178 00179 Vec3f A,B,C; 00180 00181 A = Vec3f( 0, 0, 0); 00182 B = Vec3f( 2*cos(_angle), 0, 0); 00183 C = Vec3f( cos(_angle), sin(_angle), 0); 00184 00185 double r1 = roundness(A,B,C); 00186 00187 _angle = float(0.5 * ( M_PI - _angle )); 00188 00189 A = Vec3f( 0, 0, 0); 00190 B = Vec3f( 2*cos(_angle), 0, 0); 00191 C = Vec3f( cos(_angle), sin(_angle), 0); 00192 00193 double r2 = roundness(A,B,C); 00194 00195 set_min_roundness( value_type(std::min(r1,r2)), true ); 00196 } 00197 00205 void set_min_roundness( value_type _min_roundness, bool _binary=true ) 00206 { 00207 assert( 0.0 <= _min_roundness && _min_roundness <= 1.0 ); 00208 min_r_ = _min_roundness; 00209 Base::set_binary(_binary); 00210 } 00211 00213 void unset_min_roundness() 00214 { 00215 min_r_ = -1.0; 00216 Base::set_binary(false); 00217 } 00218 00219 // Compute a normalized roundness of a triangle ABC 00220 // 00221 // Having 00222 // A,B,C corner points of triangle 00223 // a,b,c the vectors BC,CA,AB 00224 // Area area of triangle 00225 // 00226 // then define 00227 // 00228 // radius of circumference 00229 // R := ----------------------- 00230 // length of shortest edge 00231 // 00232 // ||a|| * ||b|| * ||c|| 00233 // --------------------- 00234 // 4 * Area ||a|| * ||b|| * ||c|| 00235 // = ----------------------- = ----------------------------------- 00236 // min( ||a||,||b||,||c||) 4 * Area * min( ||a||,||b||,||c|| ) 00237 // 00238 // ||a|| * ||b|| * ||c|| 00239 // = ------------------------------------------------------- 00240 // 4 * 1/2 * ||cross(B-A,C-A)|| * min( ||a||,||b||,||c|| ) 00241 // 00242 // a'a * b'b * c'c 00243 // R� = ---------------------------------------------------------- 00244 // 4 * cross(B-A,C-A)'cross(B-A,C-A) * min( a'a, b'b, c'c ) 00245 // 00246 // a'a * b'b * c'c 00247 // R = 1/2 * sqrt(---------------------------) 00248 // AA * min( a'a, b'b, c'c ) 00249 // 00250 // At angle 60� R has it's minimum for all edge lengths = sqrt(1/3) 00251 // 00252 // Define normalized roundness 00253 // 00254 // nR := sqrt(1/3) / R 00255 // 00256 // AA * min( a'a, b'b, c'c ) 00257 // = sqrt(4/3) * sqrt(---------------------------) 00258 // a'a * b'b * c'c 00259 // 00260 double roundness( const Vec3f& A, const Vec3f& B, const Vec3f &C ) 00261 { 00262 const value_type epsilon = value_type(1e-15); 00263 00264 static const value_type sqrt43 = value_type(sqrt(4.0/3.0)); // 60�,a=b=c, **) 00265 00266 Vec3f vecAC = C-A; 00267 Vec3f vecAB = B-A; 00268 00269 // compute squared values to avoid sqrt-computations 00270 value_type aa = (B-C).sqrnorm(); 00271 value_type bb = vecAC.sqrnorm(); 00272 value_type cc = vecAB.sqrnorm(); 00273 value_type AA = cross(vecAC,vecAB).sqrnorm(); // without factor 1/4 **) 00274 00275 if ( AA < epsilon ) 00276 return 0.0; 00277 00278 double nom = AA * std::min( std::min(aa,bb),cc ); 00279 double denom = aa * bb * cc; 00280 double nR = sqrt43 * sqrt(nom/denom); 00281 00282 return nR; 00283 } 00284 00285 private: 00286 00287 value_type min_r_; 00288 }; 00289 00290 00291 //============================================================================= 00292 } // END_NS_DECIMATER 00293 } // END_NS_OPENMESH 00294 //============================================================================= 00295 #if defined(OM_CC_MSVC) && defined(OM_ENABLE_WARNINGS) 00296 # pragma warning(default : OM_ENABLE_WARNINGS) 00297 # undef OM_ENABLE_WARNINGS 00298 #endif 00299 //============================================================================= 00300 #endif // OPENMESH_TOOLS_PROGMESHT_HH defined 00301 //============================================================================= 00302