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+#include <igl/cut_mesh.h>
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+#include <igl/vertex_triangle_adjacency.h>
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+#include <igl/triangle_triangle_adjacency.h>
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+#include <igl/is_border_vertex.h>
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+#include <igl/HalfEdgeIterator.h>
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+#include <set>
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+
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+
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+namespace igl {
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+
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+
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+ template <typename DerivedV, typename DerivedF, typename VFType, typename DerivedTT, typename DerivedC>
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+ class MeshCutterMini
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+ {
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+ public:
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+ // Input
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+ //mesh
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+ const Eigen::PlainObjectBase<DerivedV> &V;
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+ const Eigen::PlainObjectBase<DerivedF> &F;
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+ const Eigen::PlainObjectBase<DerivedTT> &TT;
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+ const Eigen::PlainObjectBase<DerivedTT> &TTi;
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+ const std::vector<std::vector<VFType> >& VF;
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+ const std::vector<std::vector<VFType> >& VFi;
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+ const std::vector<bool> &V_border; // bool
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+ //edges to cut
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+ const Eigen::PlainObjectBase<DerivedC> &Handle_Seams; // 3 bool
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+
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+ // total number of scalar variables
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+ int num_scalar_variables;
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+
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+ // per face indexes of vertex in the solver
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+ Eigen::PlainObjectBase<DerivedF> HandleS_Index;
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+
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+ // per vertex variable indexes
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+ std::vector<std::vector<int> > HandleV_Integer;
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+
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+ IGL_INLINE MeshCutterMini(const Eigen::PlainObjectBase<DerivedV> &_V,
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+ const Eigen::PlainObjectBase<DerivedF> &_F,
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+ const Eigen::PlainObjectBase<DerivedTT> &_TT,
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+ const Eigen::PlainObjectBase<DerivedTT> &_TTi,
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+ const std::vector<std::vector<VFType> > &_VF,
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+ const std::vector<std::vector<VFType> > &_VFi,
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+ const std::vector<bool> &_V_border,
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+ const Eigen::PlainObjectBase<DerivedC> &_Handle_Seams);
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+
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+ // vertex to variable mapping
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+ // initialize the mapping for a given sampled mesh
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+ IGL_INLINE void InitMappingSeam();
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+
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+ private:
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+
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+ IGL_INLINE void FirstPos(const int v, int &f, int &edge);
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+
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+ IGL_INLINE int AddNewIndex(const int v0);
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+
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+ IGL_INLINE bool IsSeam(const int f0, const int f1);
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+
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+ // find initial position of the pos to
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+ // assing face to vert inxex correctly
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+ IGL_INLINE void FindInitialPos(const int vert, int &edge, int &face);
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+
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+
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+ // intialize the mapping given an initial pos
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+ // whih must be initialized with FindInitialPos
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+ IGL_INLINE void MapIndexes(const int vert, const int edge_init, const int f_init);
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+
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+ // intialize the mapping for a given vertex
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+ IGL_INLINE void InitMappingSeam(const int vert);
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+
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+ };
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+}
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+
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+
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+template <typename DerivedV, typename DerivedF, typename VFType, typename DerivedTT, typename DerivedC>
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+IGL_INLINE igl::MeshCutterMini<DerivedV, DerivedF, VFType, DerivedTT, DerivedC>::
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+MeshCutterMini(const Eigen::PlainObjectBase<DerivedV> &_V,
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+ const Eigen::PlainObjectBase<DerivedF> &_F,
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+ const Eigen::PlainObjectBase<DerivedTT> &_TT,
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+ const Eigen::PlainObjectBase<DerivedTT> &_TTi,
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+ const std::vector<std::vector<VFType> > &_VF,
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+ const std::vector<std::vector<VFType> > &_VFi,
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+ const std::vector<bool> &_V_border,
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+ const Eigen::PlainObjectBase<DerivedC> &_Handle_Seams):
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+V(_V),
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+F(_F),
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+TT(_TT),
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+TTi(_TTi),
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+VF(_VF),
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+VFi(_VFi),
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+V_border(_V_border),
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+Handle_Seams(_Handle_Seams)
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+{
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+ num_scalar_variables=0;
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+
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+ HandleS_Index.setConstant(F.rows(),3,-1);
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+
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+ HandleV_Integer.resize(V.rows());
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+}
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+
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+
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+template <typename DerivedV, typename DerivedF, typename VFType, typename DerivedTT, typename DerivedC>
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+IGL_INLINE void igl::MeshCutterMini<DerivedV, DerivedF, VFType, DerivedTT, DerivedC>::
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+FirstPos(const int v, int &f, int &edge)
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+{
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+ f = VF[v][0]; // f=v->cVFp();
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+ edge = VFi[v][0]; // edge=v->cVFi();
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+}
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+
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+template <typename DerivedV, typename DerivedF, typename VFType, typename DerivedTT, typename DerivedC>
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+IGL_INLINE int igl::MeshCutterMini<DerivedV, DerivedF, VFType, DerivedTT, DerivedC>::
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+AddNewIndex(const int v0)
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+{
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+ num_scalar_variables++;
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+ HandleV_Integer[v0].push_back(num_scalar_variables);
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+ return num_scalar_variables;
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+}
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+
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+template <typename DerivedV, typename DerivedF, typename VFType, typename DerivedTT, typename DerivedC>
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+IGL_INLINE bool igl::MeshCutterMini<DerivedV, DerivedF, VFType, DerivedTT, DerivedC>::
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+IsSeam(const int f0, const int f1)
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+{
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+ for (int i=0;i<3;i++)
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+ {
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+ int f_clos = TT(f0,i);
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+
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+ if (f_clos == -1)
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+ continue; ///border
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+
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+ if (f_clos == f1)
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+ return(Handle_Seams(f0,i));
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+ }
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+ assert(0);
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+ return false;
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+}
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+
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+///find initial position of the pos to
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+// assing face to vert inxex correctly
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+template <typename DerivedV, typename DerivedF, typename VFType, typename DerivedTT, typename DerivedC>
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+IGL_INLINE void igl::MeshCutterMini<DerivedV, DerivedF, VFType, DerivedTT, DerivedC>::
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+FindInitialPos(const int vert,
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+ int &edge,
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+ int &face)
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+{
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+ int f_init;
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+ int edge_init;
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+ FirstPos(vert,f_init,edge_init); // todo manually the function
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+ igl::HalfEdgeIterator<DerivedF> VFI(F,TT,TTi,f_init,edge_init);
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+
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+ bool vertexB = V_border[vert];
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+ bool possible_split=false;
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+ bool complete_turn=false;
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+ do
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+ {
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+ int curr_f = VFI.Fi();
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+ int curr_edge=VFI.Ei();
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+ VFI.NextFE();
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+ int next_f=VFI.Fi();
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+ ///test if I've just crossed a border
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+ bool on_border=(TT(curr_f,curr_edge)==-1);
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+ //bool mismatch=false;
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+ bool seam=false;
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+
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+ ///or if I've just crossed a seam
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+ ///if I'm on a border I MUST start from the one next t othe border
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+ if (!vertexB)
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+ //seam=curr_f->IsSeam(next_f);
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+ seam=IsSeam(curr_f,next_f);
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+ // if (vertexB)
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+ // assert(!Handle_Singular(vert));
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+ // ;
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+ //assert(!vert->IsSingular());
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+ possible_split=((on_border)||(seam));
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+ complete_turn = next_f == f_init;
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+ } while ((!possible_split)&&(!complete_turn));
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+ face=VFI.Fi();
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+ edge=VFI.Ei();
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+}
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+
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+
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+
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+///intialize the mapping given an initial pos
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+///whih must be initialized with FindInitialPos
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+template <typename DerivedV, typename DerivedF, typename VFType, typename DerivedTT, typename DerivedC>
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+IGL_INLINE void igl::MeshCutterMini<DerivedV, DerivedF, VFType, DerivedTT, DerivedC>::
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+MapIndexes(const int vert,
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+ const int edge_init,
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+ const int f_init)
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+{
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+ ///check that is not on border..
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+ ///in such case maybe it's non manyfold
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+ ///insert an initial index
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+ int curr_index=AddNewIndex(vert);
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+ ///and initialize the jumping pos
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+ igl::HalfEdgeIterator<DerivedF> VFI(F,TT,TTi,f_init,edge_init);
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+ bool complete_turn=false;
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+ do
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+ {
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+ int curr_f = VFI.Fi();
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+ int curr_edge = VFI.Ei();
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+ ///assing the current index
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+ HandleS_Index(curr_f,curr_edge) = curr_index;
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+ VFI.NextFE();
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+ int next_f = VFI.Fi();
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+ ///test if I've finiseh with the face exploration
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+ complete_turn = (next_f==f_init);
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+ ///or if I've just crossed a mismatch
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+ if (!complete_turn)
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+ {
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+ bool seam=false;
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+ //seam=curr_f->IsSeam(next_f);
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+ seam=IsSeam(curr_f,next_f);
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+ if (seam)
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+ {
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+ ///then add a new index
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+ curr_index=AddNewIndex(vert);
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+ }
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+ }
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+ } while (!complete_turn);
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+}
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+
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+///initialize the mapping for a given vertex
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+template <typename DerivedV, typename DerivedF, typename VFType, typename DerivedTT, typename DerivedC>
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+IGL_INLINE void igl::MeshCutterMini<DerivedV, DerivedF, VFType, DerivedTT, DerivedC>::
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+InitMappingSeam(const int vert)
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+{
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+ ///first rotate until find the first pos after a mismatch
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+ ///or a border or return to the first position...
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+ int f_init = VF[vert][0];
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+ int indexE = VFi[vert][0];
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+
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+ igl::HalfEdgeIterator<DerivedF> VFI(F,TT,TTi,f_init,indexE);
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+
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+ int edge_init;
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+ int face_init;
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+ FindInitialPos(vert,edge_init,face_init);
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+ MapIndexes(vert,edge_init,face_init);
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+}
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+
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+///vertex to variable mapping
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+///initialize the mapping for a given sampled mesh
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+template <typename DerivedV, typename DerivedF, typename VFType, typename DerivedTT, typename DerivedC>
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+IGL_INLINE void igl::MeshCutterMini<DerivedV, DerivedF, VFType, DerivedTT, DerivedC>::
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+InitMappingSeam()
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+{
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+ num_scalar_variables=-1;
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+ for (unsigned int i=0;i<V.rows();i++)
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+ InitMappingSeam(i);
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+
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+ for (unsigned int j=0;j<V.rows();j++)
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+ assert(HandleV_Integer[j].size()>0);
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+}
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+
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+
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+template <typename DerivedV, typename DerivedF, typename VFType, typename DerivedTT, typename DerivedC>
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+IGL_INLINE void igl::cut_mesh(
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+ const Eigen::PlainObjectBase<DerivedV> &V,
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+ const Eigen::PlainObjectBase<DerivedF> &F,
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+ const std::vector<std::vector<VFType> >& VF,
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+ const std::vector<std::vector<VFType> >& VFi,
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+ const Eigen::PlainObjectBase<DerivedTT>& TT,
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+ const Eigen::PlainObjectBase<DerivedTT>& TTi,
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+ const std::vector<bool> &V_border,
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+ const Eigen::PlainObjectBase<DerivedC> &cuts,
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+ Eigen::PlainObjectBase<DerivedV> &Vcut,
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+ Eigen::PlainObjectBase<DerivedF> &Fcut)
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+{
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+ //finding the cuts is done, now we need to actually generate a cut mesh
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+ igl::MeshCutterMini<DerivedV, DerivedF, VFType, DerivedTT, DerivedC> mc(V, F, TT, TTi, VF, VFi, V_border, cuts);
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+ mc.InitMappingSeam();
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+
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+ Fcut = mc.HandleS_Index;
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+ //we have the faces, we need the vertices;
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+ int newNumV = Fcut.maxCoeff()+1;
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+ Vcut.setZero(newNumV,3);
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+ for (int vi=0; vi<V.rows(); ++vi)
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+ for (int i=0; i<mc.HandleV_Integer[vi].size();++i)
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+ Vcut.row(mc.HandleV_Integer[vi][i]) = V.row(vi);
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+
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+ //ugly hack to fix some problematic cases (border vertex that is also on the boundary of the hole
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+ for (int fi =0; fi<Fcut.rows(); ++fi)
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+ for (int k=0; k<3; ++k)
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+ if (Fcut(fi,k)==-1)
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+ {
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+ //we need to add a vertex
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+ Fcut(fi,k) = newNumV;
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+ newNumV ++;
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+ Vcut.conservativeResize(newNumV, Eigen::NoChange);
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+ Vcut.row(newNumV-1) = V.row(F(fi,k));
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+ }
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+
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+
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+}
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+
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+
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+//Wrapper of the above with only vertices and faces as mesh input
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+template <typename DerivedV, typename DerivedF, typename DerivedC>
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+IGL_INLINE void igl::cut_mesh(
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+ const Eigen::PlainObjectBase<DerivedV> &V,
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+ const Eigen::PlainObjectBase<DerivedF> &F,
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+ const Eigen::PlainObjectBase<DerivedC> &cuts,
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+ Eigen::PlainObjectBase<DerivedV> &Vcut,
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+ Eigen::PlainObjectBase<DerivedF> &Fcut)
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+{
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+
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+ std::vector<std::vector<int> > VF, VFi;
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+ igl::vertex_triangle_adjacency(V,F,VF,VFi);
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+
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+ Eigen::MatrixXi TT, TTi;
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+ igl::triangle_triangle_adjacency(V,F,TT,TTi);
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+
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+ std::vector<bool> V_border = igl::is_border_vertex(V,F);
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+
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+ igl::cut_mesh(V, F, VF, VFi, TT, TTi, V_border, cuts, Vcut, Fcut);
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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 specialization
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+template void igl::cut_mesh<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, int, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1> >(Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, std::__1::vector<std::__1::vector<int, std::__1::allocator<int> >, std::__1::allocator<std::__1::vector<int, std::__1::allocator<int> > > > const&, std::__1::vector<std::__1::vector<int, std::__1::allocator<int> >, std::__1::allocator<std::__1::vector<int, std::__1::allocator<int> > > > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, std::__1::vector<bool, std::__1::allocator<bool> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> >&);
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+template void igl::cut_mesh<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::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> >&);
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+#endif
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+
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