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							70 lines
						
					
					
						
							2.7 KiB
						
					
					
				
								// This file is part of libigl, a simple c++ geometry processing library.
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								// 
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								// Copyright (C) 2020 Alec Jacobson <alecjacobson@gmail.com>
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								// 
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								// This Source Code Form is subject to the terms of the Mozilla Public License 
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								// v. 2.0. If a copy of the MPL was not distributed with this file, You can 
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								// obtain one at http://mozilla.org/MPL/2.0/.
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								#include "exploded_view.h"
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								#include "barycenter.h"
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								#include "volume.h"
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								template <
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								  typename DerivedV,
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								  typename DerivedT,
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								  typename DerivedEV,
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								  typename DerivedEF,
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								  typename DerivedI,
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								  typename DerivedJ>
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								IGL_INLINE void igl::exploded_view(
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								  const Eigen::MatrixBase<DerivedV> & V,
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								  const Eigen::MatrixBase<DerivedT> & T,
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								  const typename DerivedV::Scalar s,
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								  const typename DerivedV::Scalar t,
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								  Eigen::PlainObjectBase<DerivedEV> & EV,
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								  Eigen::PlainObjectBase<DerivedEF> & EF,
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								  Eigen::PlainObjectBase<DerivedI> & I,
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								  Eigen::PlainObjectBase<DerivedJ> & J)
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								{
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								  assert(T.cols() == 4 && "T should be a tet mesh");
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								  EV.resize(4*T.rows(),3);
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								  EF.resize(4*T.rows(),3);
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								  I.resize(EV.rows());
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								  J.resize(EF.rows());
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								  Eigen::MatrixXd BC;
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								  igl::barycenter(V,T,BC);
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								  Eigen::VectorXd vol;
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								  igl::volume(V,T,vol);
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								  const Eigen::RowVectorXd c = vol.transpose()*BC/vol.array().sum();
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								  for(int i = 0;i<T.rows();i++)
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								  {
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								    // scale the barycenters outward
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								    const auto tbc = ((BC.row(i)-c)*t+c).eval();
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								    for(int j = 0;j<4;j++)
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								    {
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								      // vector to barycenter
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								      const auto v = V.row(T(i,j))-BC.row(i);
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								      // scale vector and add to scaled barycenter
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								      EV.row(i*4+j) = v*s+tbc;
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								      I(i*4+j) = T(i,j);
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								      J(i*4+j) = i;
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								      if(j%2)
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								      {
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								        EF(i*4+j,0) = i*4+((j+3)%4);
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								        EF(i*4+j,1) = i*4+((j+2)%4);
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								        EF(i*4+j,2) = i*4+((j+1)%4);
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								      }else
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								      {
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								        EF(i*4+j,0) = i*4+((j+1)%4);
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								        EF(i*4+j,1) = i*4+((j+2)%4);
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								        EF(i*4+j,2) = i*4+((j+3)%4);
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								      }
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								    }
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								  }
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								}
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								#ifdef IGL_STATIC_LIBRARY
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								// Explicit template instantiation
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								// generated by autoexplicit.sh
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								template void igl::exploded_view<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, 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::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::Matrix<double, -1, -1, 0, -1, -1>::Scalar, Eigen::Matrix<double, -1, -1, 0, -1, -1>::Scalar, Eigen::PlainObjectBase<Eigen::Matrix<double, -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> >&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 1, 0, -1, 1> >&);
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								#endif
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