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							110 lines
						
					
					
						
							3.9 KiB
						
					
					
				| // This file is part of libigl, a simple c++ geometry processing library. | |
| // | |
| // Copyright (C) 2013 Alec Jacobson <alecjacobson@gmail.com> | |
| // | |
| // This Source Code Form is subject to the terms of the Mozilla Public License | |
| // v. 2.0. If a copy of the MPL was not distributed with this file, You can | |
| // obtain one at http://mozilla.org/MPL/2.0/. | |
| #include "edge_topology.h" | |
| #include "is_edge_manifold.h" | |
| #include <algorithm> | |
|  | |
| template<typename DerivedV, typename DerivedF, typename DerivedE> | |
| IGL_INLINE void igl::edge_topology( | |
|   const Eigen::MatrixBase<DerivedV>& V, | |
|   const Eigen::MatrixBase<DerivedF>& F, | |
|   Eigen::PlainObjectBase<DerivedE>& EV, | |
|   Eigen::PlainObjectBase<DerivedE>& FE, | |
|   Eigen::PlainObjectBase<DerivedE>& EF) | |
| { | |
|   // Only needs to be edge-manifold | |
|   if (V.rows() ==0 || F.rows()==0) | |
|   { | |
|     EV = Eigen::PlainObjectBase<DerivedE>::Constant(0,2,-1); | |
|     FE = Eigen::PlainObjectBase<DerivedE>::Constant(0,3,-1); | |
|     EF = Eigen::PlainObjectBase<DerivedE>::Constant(0,2,-1); | |
|     return; | |
|   } | |
|   assert(igl::is_edge_manifold(F)); | |
|   std::vector<std::vector<typename DerivedE::Scalar> > ETT; | |
|   for(int f=0;f<F.rows();++f) | |
|     for (int i=0;i<3;++i) | |
|     { | |
|       // v1 v2 f vi | |
|       int v1 = F(f,i); | |
|       int v2 = F(f,(i+1)%3); | |
|       if (v1 > v2) std::swap(v1,v2); | |
|       std::vector<typename DerivedE::Scalar> r(4); | |
|       r[0] = v1; r[1] = v2; | |
|       r[2] = f;  r[3] = i; | |
|       ETT.push_back(r); | |
|     } | |
|   std::sort(ETT.begin(),ETT.end()); | |
| 
 | |
|   // count the number of edges (assume manifoldness) | |
|   int En = 1; // the last is always counted | |
|   for(int i=0;i<int(ETT.size())-1;++i) | |
|     if (!((ETT[i][0] == ETT[i+1][0]) && (ETT[i][1] == ETT[i+1][1]))) | |
|       ++En; | |
| 
 | |
|   EV = DerivedE::Constant((int)(En),2,-1); | |
|   FE = DerivedE::Constant((int)(F.rows()),3,-1); | |
|   EF = DerivedE::Constant((int)(En),2,-1); | |
|   En = 0; | |
| 
 | |
|   for(unsigned i=0;i<ETT.size();++i) | |
|   { | |
|     if (i == ETT.size()-1 || | |
|         !((ETT[i][0] == ETT[i+1][0]) && (ETT[i][1] == ETT[i+1][1])) | |
|         ) | |
|     { | |
|       // Border edge | |
|       std::vector<typename DerivedE::Scalar>& r1 = ETT[i]; | |
|       EV(En,0)     = r1[0]; | |
|       EV(En,1)     = r1[1]; | |
|       EF(En,0)    = r1[2]; | |
|       FE(r1[2],r1[3]) = En; | |
|     } | |
|     else | |
|     { | |
|       std::vector<typename DerivedE::Scalar>& r1 = ETT[i]; | |
|       std::vector<typename DerivedE::Scalar>& r2 = ETT[i+1]; | |
|       EV(En,0)     = r1[0]; | |
|       EV(En,1)     = r1[1]; | |
|       EF(En,0)    = r1[2]; | |
|       EF(En,1)    = r2[2]; | |
|       FE(r1[2],r1[3]) = En; | |
|       FE(r2[2],r2[3]) = En; | |
|       ++i; // skip the next one | |
|     } | |
|     ++En; | |
|   } | |
| 
 | |
|   // Sort the relation EF, accordingly to EV | |
|   // the first one is the face on the left of the edge | |
|   for(unsigned i=0; i<EF.rows(); ++i) | |
|   { | |
|     typename DerivedE::Scalar fid = EF(i,0); | |
|     bool flip = true; | |
|     // search for edge EV.row(i) | |
|     for (unsigned j=0; j<3; ++j) | |
|     { | |
|       if ((F(fid,j) == EV(i,0)) && (F(fid,(j+1)%3) == EV(i,1))) | |
|         flip = false; | |
|     } | |
| 
 | |
|     if (flip) | |
|     { | |
|       int tmp = EF(i,0); | |
|       EF(i,0) = EF(i,1); | |
|       EF(i,1) = tmp; | |
|     } | |
|   } | |
| 
 | |
| } | |
| 
 | |
| #ifdef IGL_STATIC_LIBRARY | |
| // Explicit template instantiation | |
| template void igl::edge_topology<Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<int, -1, 3, 0, -1, 3>, Eigen::Matrix<int, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1>>&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1>>&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1>>&); | |
| template void igl::edge_topology<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1>>&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1>>&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1>>&); | |
| #endif
 | |
| 
 |