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@@ -21,53 +21,60 @@ IGL_INLINE void igl::outer_vertex(
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const Eigen::PlainObjectBase<DerivedF> & F,
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const Eigen::PlainObjectBase<DerivedI> & I,
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IndexType & v_index,
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- Eigen::PlainObjectBase<DerivedA> & A) {
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- // Algorithm:
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- // Find an outer vertex (i.e. vertex reachable from infinity)
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- // Return the vertex with the largest X value.
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- // If there is a tie, pick the one with largest Y value.
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- // If there is still a tie, pick the one with the largest Z value.
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- // If there is still a tie, then there are duplicated vertices within the
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- // mesh, which violates the precondition.
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- const size_t INVALID = std::numeric_limits<size_t>::max();
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- const size_t num_selected_faces = I.rows();
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- std::vector<size_t> candidate_faces;
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- size_t outer_vid = INVALID;
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- typename DerivedV::Scalar outer_val = 0;
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- for (size_t i=0; i<num_selected_faces; i++) {
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- size_t f = I(i);
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- for (size_t j=0; j<3; j++) {
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- auto v = F(f, j);
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- auto vx = V(v, 0);
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- if (outer_vid == INVALID || vx > outer_val) {
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- outer_val = vx;
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- outer_vid = v;
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- candidate_faces = {f};
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- } else if (v == outer_vid) {
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- candidate_faces.push_back(f);
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- } else if (vx == outer_val) {
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- // Break tie.
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- auto vy = V(v,1);
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- auto vz = V(v, 2);
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- auto outer_y = V(outer_vid, 1);
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- auto outer_z = V(outer_vid, 2);
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- assert(!(vy == outer_y && vz == outer_z));
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- bool replace = (vy > outer_y) ||
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- ((vy == outer_y) && (vz > outer_z));
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- if (replace) {
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- outer_val = vx;
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- outer_vid = v;
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- candidate_faces = {f};
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- }
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- }
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+ Eigen::PlainObjectBase<DerivedA> & A)
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+{
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+ // Algorithm:
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+ // Find an outer vertex (i.e. vertex reachable from infinity)
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+ // Return the vertex with the largest X value.
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+ // If there is a tie, pick the one with largest Y value.
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+ // If there is still a tie, pick the one with the largest Z value.
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+ // If there is still a tie, then there are duplicated vertices within the
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+ // mesh, which violates the precondition.
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+ const size_t INVALID = std::numeric_limits<size_t>::max();
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+ const size_t num_selected_faces = I.rows();
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+ std::vector<size_t> candidate_faces;
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+ size_t outer_vid = INVALID;
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+ typename DerivedV::Scalar outer_val = 0;
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+ for (size_t i=0; i<num_selected_faces; i++)
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+ {
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+ size_t f = I(i);
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+ for (size_t j=0; j<3; j++)
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+ {
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+ auto v = F(f, j);
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+ auto vx = V(v, 0);
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+ if (outer_vid == INVALID || vx > outer_val)
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+ {
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+ outer_val = vx;
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+ outer_vid = v;
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+ candidate_faces = {f};
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+ } else if (v == outer_vid)
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+ {
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+ candidate_faces.push_back(f);
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+ } else if (vx == outer_val)
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+ {
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+ // Break tie.
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+ auto vy = V(v,1);
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+ auto vz = V(v, 2);
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+ auto outer_y = V(outer_vid, 1);
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+ auto outer_z = V(outer_vid, 2);
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+ assert(!(vy == outer_y && vz == outer_z));
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+ bool replace = (vy > outer_y) ||
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+ ((vy == outer_y) && (vz > outer_z));
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+ if (replace)
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+ {
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+ outer_val = vx;
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+ outer_vid = v;
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+ candidate_faces = {f};
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}
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+ }
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}
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+ }
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- assert(outer_vid != INVALID);
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- assert(candidate_faces.size() > 0);
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- v_index = outer_vid;
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- A.resize(candidate_faces.size());
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- std::copy(candidate_faces.begin(), candidate_faces.end(), A.data());
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+ assert(outer_vid != INVALID);
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+ assert(candidate_faces.size() > 0);
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+ v_index = outer_vid;
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+ A.resize(candidate_faces.size());
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+ std::copy(candidate_faces.begin(), candidate_faces.end(), A.data());
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}
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template<
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@@ -78,88 +85,94 @@ template<
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typename DerivedA
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>
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IGL_INLINE void igl::outer_edge(
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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<DerivedI> & I,
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- IndexType & v1,
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- IndexType & v2,
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- Eigen::PlainObjectBase<DerivedA> & A) {
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- // Algorithm:
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- // Find an outer vertex first.
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- // Find the incident edge with largest slope when projected onto XY plane.
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- // If there is still a tie, break it using the projected slope onto ZX plane.
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- // If there is still a tie, then there are multiple overlapping edges,
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- // which violates the precondition.
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- typedef typename DerivedV::Scalar Scalar;
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- typedef typename DerivedV::Index Index;
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- typedef typename Eigen::Matrix<Scalar, 3, 1> ScalarArray3;
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- typedef typename Eigen::Matrix<typename DerivedF::Scalar, 3, 1> IndexArray3;
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- const size_t INVALID = std::numeric_limits<size_t>::max();
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-
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- Index outer_vid;
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- Eigen::Matrix<Index,Eigen::Dynamic,1> candidate_faces;
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- outer_vertex(V, F, I, outer_vid, candidate_faces);
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- const ScalarArray3& outer_v = V.row(outer_vid);
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- assert(candidate_faces.size() > 0);
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-
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- auto get_vertex_index = [&](const IndexArray3& f, Index vid) -> Index
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- {
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- if (f[0] == vid) return 0;
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- if (f[1] == vid) return 1;
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- if (f[2] == vid) return 2;
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- assert(false);
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- return -1;
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- };
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-
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- Scalar outer_slope_YX = 0;
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- Scalar outer_slope_ZX = 0;
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- size_t outer_opp_vid = INVALID;
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- bool infinite_slope_detected = false;
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- std::vector<Index> incident_faces;
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- auto check_and_update_outer_edge = [&](Index opp_vid, Index fid) {
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- if (opp_vid == outer_opp_vid) {
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- incident_faces.push_back(fid);
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- return;
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- }
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-
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- const ScalarArray3 opp_v = V.row(opp_vid);
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- if (!infinite_slope_detected && outer_v[0] != opp_v[0]) {
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- // Finite slope
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- const ScalarArray3 diff = opp_v - outer_v;
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- const Scalar slope_YX = diff[1] / diff[0];
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- const Scalar slope_ZX = diff[2] / diff[0];
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- if (outer_opp_vid == INVALID ||
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- slope_YX > outer_slope_YX ||
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- (slope_YX == outer_slope_YX &&
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- slope_ZX > outer_slope_ZX)) {
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- outer_opp_vid = opp_vid;
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- outer_slope_YX = slope_YX;
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- outer_slope_ZX = slope_ZX;
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- incident_faces = {fid};
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- }
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- } else if (!infinite_slope_detected) {
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- // Infinite slope
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- outer_opp_vid = opp_vid;
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- infinite_slope_detected = true;
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- incident_faces = {fid};
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- }
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- };
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-
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- const auto num_candidate_faces = candidate_faces.size();
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- for (size_t i=0; i<num_candidate_faces; i++) {
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- const Index fid = candidate_faces(i);
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- const IndexArray3& f = F.row(fid);
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- size_t id = get_vertex_index(f, outer_vid);
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- Index next_vid = f((id+1)%3);
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- Index prev_vid = f((id+2)%3);
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- check_and_update_outer_edge(next_vid, fid);
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- check_and_update_outer_edge(prev_vid, fid);
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- }
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-
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- v1 = outer_vid;
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- v2 = outer_opp_vid;
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- A.resize(incident_faces.size());
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- std::copy(incident_faces.begin(), incident_faces.end(), A.data());
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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<DerivedI> & I,
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+ IndexType & v1,
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+ IndexType & v2,
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+ Eigen::PlainObjectBase<DerivedA> & A) {
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+ // Algorithm:
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+ // Find an outer vertex first.
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+ // Find the incident edge with largest slope when projected onto XY
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+ // plane.
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+ // If there is still a tie, break it using the projected slope onto ZX
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+ // plane.
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+ // If there is still a tie, then there are multiple overlapping edges,
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+ // which violates the precondition.
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+ typedef typename DerivedV::Scalar Scalar;
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+ typedef typename DerivedV::Index Index;
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+ typedef typename Eigen::Matrix<Scalar, 3, 1> ScalarArray3;
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+ typedef typename Eigen::Matrix<typename DerivedF::Scalar, 3, 1> IndexArray3;
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+ const size_t INVALID = std::numeric_limits<size_t>::max();
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+
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+ Index outer_vid;
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+ Eigen::Matrix<Index,Eigen::Dynamic,1> candidate_faces;
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+ outer_vertex(V, F, I, outer_vid, candidate_faces);
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+ const ScalarArray3& outer_v = V.row(outer_vid);
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+ assert(candidate_faces.size() > 0);
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+
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+ auto get_vertex_index = [&](const IndexArray3& f, Index vid) -> Index
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+ {
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+ if (f[0] == vid) return 0;
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+ if (f[1] == vid) return 1;
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+ if (f[2] == vid) return 2;
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+ assert(false);
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+ return -1;
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+ };
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+
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+ Scalar outer_slope_YX = 0;
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+ Scalar outer_slope_ZX = 0;
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+ size_t outer_opp_vid = INVALID;
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+ bool infinite_slope_detected = false;
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+ std::vector<Index> incident_faces;
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+ auto check_and_update_outer_edge = [&](Index opp_vid, Index fid) {
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+ if (opp_vid == outer_opp_vid)
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+ {
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+ incident_faces.push_back(fid);
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+ return;
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+ }
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+
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+ const ScalarArray3 opp_v = V.row(opp_vid);
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+ if (!infinite_slope_detected && outer_v[0] != opp_v[0])
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+ {
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+ // Finite slope
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+ const ScalarArray3 diff = opp_v - outer_v;
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+ const Scalar slope_YX = diff[1] / diff[0];
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+ const Scalar slope_ZX = diff[2] / diff[0];
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+ if (outer_opp_vid == INVALID ||
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+ slope_YX > outer_slope_YX ||
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+ (slope_YX == outer_slope_YX &&
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+ slope_ZX > outer_slope_ZX)) {
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+ outer_opp_vid = opp_vid;
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+ outer_slope_YX = slope_YX;
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+ outer_slope_ZX = slope_ZX;
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+ incident_faces = {fid};
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+ }
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+ } else if (!infinite_slope_detected)
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+ {
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+ // Infinite slope
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+ outer_opp_vid = opp_vid;
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+ infinite_slope_detected = true;
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+ incident_faces = {fid};
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+ }
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+ };
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+
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+ const size_t num_candidate_faces = candidate_faces.size();
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+ for (size_t i=0; i<num_candidate_faces; i++)
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+ {
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+ const Index fid = candidate_faces(i);
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+ const IndexArray3& f = F.row(fid);
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+ size_t id = get_vertex_index(f, outer_vid);
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+ Index next_vid = f((id+1)%3);
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+ Index prev_vid = f((id+2)%3);
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+ check_and_update_outer_edge(next_vid, fid);
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+ check_and_update_outer_edge(prev_vid, fid);
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+ }
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+
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+ v1 = outer_vid;
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+ v2 = outer_opp_vid;
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+ A.resize(incident_faces.size());
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+ std::copy(incident_faces.begin(), incident_faces.end(), A.data());
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}
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template<
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