|
@@ -5,8 +5,7 @@
|
|
|
// 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 "exterior_element.h"
|
|
|
-#include "vertex_triangle_adjacency.h"
|
|
|
+#include "outer_element.h"
|
|
|
#include <iostream>
|
|
|
|
|
|
template <
|
|
@@ -16,14 +15,14 @@ template <
|
|
|
typename IndexType,
|
|
|
typename DerivedA
|
|
|
>
|
|
|
-IGL_INLINE void igl::exterior_vertex(
|
|
|
+IGL_INLINE void igl::outer_vertex(
|
|
|
const Eigen::PlainObjectBase<DerivedV> & V,
|
|
|
const Eigen::PlainObjectBase<DerivedF> & F,
|
|
|
const Eigen::PlainObjectBase<DerivedI> & I,
|
|
|
IndexType & v_index,
|
|
|
Eigen::PlainObjectBase<DerivedA> & A) {
|
|
|
// Algorithm:
|
|
|
- // Find an exterior vertex (i.e. vertex reachable from infinity)
|
|
|
+ // Find an outer vertex (i.e. vertex reachable from infinity)
|
|
|
// Return the vertex with the largest X value.
|
|
|
// If there is a tie, pick the one with largest Y value.
|
|
|
// If there is still a tie, pick the one with the largest Z value.
|
|
@@ -32,40 +31,40 @@ IGL_INLINE void igl::exterior_vertex(
|
|
|
const size_t INVALID = std::numeric_limits<size_t>::max();
|
|
|
const size_t num_selected_faces = I.rows();
|
|
|
std::vector<size_t> candidate_faces;
|
|
|
- size_t exterior_vid = INVALID;
|
|
|
- typename DerivedV::Scalar exterior_val = 0;
|
|
|
+ size_t outer_vid = INVALID;
|
|
|
+ typename DerivedV::Scalar outer_val = 0;
|
|
|
for (size_t i=0; i<num_selected_faces; i++) {
|
|
|
size_t f = I[i];
|
|
|
for (size_t j=0; j<3; j++) {
|
|
|
auto v = F(f, j);
|
|
|
auto vx = V(v, 0);
|
|
|
- if (exterior_vid == INVALID || vx > exterior_val) {
|
|
|
- exterior_val = vx;
|
|
|
- exterior_vid = v;
|
|
|
+ if (outer_vid == INVALID || vx > outer_val) {
|
|
|
+ outer_val = vx;
|
|
|
+ outer_vid = v;
|
|
|
candidate_faces = {f};
|
|
|
- } else if (v == exterior_vid) {
|
|
|
+ } else if (v == outer_vid) {
|
|
|
candidate_faces.push_back(f);
|
|
|
- } else if (vx == exterior_val) {
|
|
|
+ } else if (vx == outer_val) {
|
|
|
// Break tie.
|
|
|
auto vy = V(v,1);
|
|
|
auto vz = V(v, 2);
|
|
|
- auto exterior_y = V(exterior_vid, 1);
|
|
|
- auto exterior_z = V(exterior_vid, 2);
|
|
|
- assert(!(vy == exterior_y && vz == exterior_z));
|
|
|
- bool replace = (vy > exterior_y) ||
|
|
|
- ((vy == exterior_y) && (vz > exterior_z));
|
|
|
+ auto outer_y = V(outer_vid, 1);
|
|
|
+ auto outer_z = V(outer_vid, 2);
|
|
|
+ assert(!(vy == outer_y && vz == outer_z));
|
|
|
+ bool replace = (vy > outer_y) ||
|
|
|
+ ((vy == outer_y) && (vz > outer_z));
|
|
|
if (replace) {
|
|
|
- exterior_val = vx;
|
|
|
- exterior_vid = v;
|
|
|
+ outer_val = vx;
|
|
|
+ outer_vid = v;
|
|
|
candidate_faces = {f};
|
|
|
}
|
|
|
}
|
|
|
}
|
|
|
}
|
|
|
|
|
|
- assert(exterior_vid != INVALID);
|
|
|
+ assert(outer_vid != INVALID);
|
|
|
assert(candidate_faces.size() > 0);
|
|
|
- v_index = exterior_vid;
|
|
|
+ v_index = outer_vid;
|
|
|
A.resize(candidate_faces.size());
|
|
|
std::copy(candidate_faces.begin(), candidate_faces.end(), A.data());
|
|
|
}
|
|
@@ -77,7 +76,7 @@ template<
|
|
|
typename IndexType,
|
|
|
typename DerivedA
|
|
|
>
|
|
|
-IGL_INLINE void igl::exterior_edge(
|
|
|
+IGL_INLINE void igl::outer_edge(
|
|
|
const Eigen::PlainObjectBase<DerivedV> & V,
|
|
|
const Eigen::PlainObjectBase<DerivedF> & F,
|
|
|
const Eigen::PlainObjectBase<DerivedI> & I,
|
|
@@ -85,9 +84,9 @@ IGL_INLINE void igl::exterior_edge(
|
|
|
IndexType & v2,
|
|
|
Eigen::PlainObjectBase<DerivedA> & A) {
|
|
|
// Algorithm:
|
|
|
- // Find an exterior vertex first.
|
|
|
+ // Find an outer vertex first.
|
|
|
// Find the incident edge with largest slope when projected onto XY plane.
|
|
|
- // If there is still a tie, break it using the projected splot onto ZX plane.
|
|
|
+ // If there is still a tie, break it using the projected slope onto ZX plane.
|
|
|
// If there is still a tie, then there are multiple overlapping edges,
|
|
|
// which violates the precondition.
|
|
|
typedef typename DerivedV::Scalar Scalar;
|
|
@@ -96,10 +95,10 @@ IGL_INLINE void igl::exterior_edge(
|
|
|
typedef typename Eigen::Matrix<typename DerivedF::Scalar, 3, 1> IndexArray3;
|
|
|
const size_t INVALID = std::numeric_limits<size_t>::max();
|
|
|
|
|
|
- Index exterior_vid;
|
|
|
+ Index outer_vid;
|
|
|
DerivedI candidate_faces;
|
|
|
- exterior_vertex(V, F, I, exterior_vid, candidate_faces);
|
|
|
- const ScalarArray3& exterior_v = V.row(exterior_vid);
|
|
|
+ outer_vertex(V, F, I, outer_vid, candidate_faces);
|
|
|
+ const ScalarArray3& outer_v = V.row(outer_vid);
|
|
|
assert(candidate_faces.size() > 0);
|
|
|
|
|
|
auto get_vertex_index = [&](const IndexArray3& f,
|
|
@@ -110,35 +109,35 @@ IGL_INLINE void igl::exterior_edge(
|
|
|
assert(false);
|
|
|
};
|
|
|
|
|
|
- Scalar exterior_slope_YX = 0;
|
|
|
- Scalar exterior_slope_ZX = 0;
|
|
|
- size_t exterior_opp_vid = INVALID;
|
|
|
+ Scalar outer_slope_YX = 0;
|
|
|
+ Scalar outer_slope_ZX = 0;
|
|
|
+ size_t outer_opp_vid = INVALID;
|
|
|
bool infinite_slope_detected = false;
|
|
|
std::vector<Index> incident_faces;
|
|
|
- auto check_and_update_exterior_edge = [&](Index opp_vid, Index fid) {
|
|
|
- if (opp_vid == exterior_opp_vid) {
|
|
|
+ auto check_and_update_outer_edge = [&](Index opp_vid, Index fid) {
|
|
|
+ if (opp_vid == outer_opp_vid) {
|
|
|
incident_faces.push_back(fid);
|
|
|
return;
|
|
|
}
|
|
|
|
|
|
const ScalarArray3 opp_v = V.row(opp_vid);
|
|
|
- if (!infinite_slope_detected && exterior_v[0] != opp_v[0]) {
|
|
|
+ if (!infinite_slope_detected && outer_v[0] != opp_v[0]) {
|
|
|
// Finite slope
|
|
|
- const ScalarArray3 diff = opp_v - exterior_v;
|
|
|
+ const ScalarArray3 diff = opp_v - outer_v;
|
|
|
const Scalar slope_YX = diff[1] / diff[0];
|
|
|
const Scalar slope_ZX = diff[2] / diff[0];
|
|
|
- if (exterior_opp_vid == INVALID ||
|
|
|
- slope_YX > exterior_slope_YX ||
|
|
|
- (slope_YX == exterior_slope_YX &&
|
|
|
- slope_ZX > exterior_slope_ZX)) {
|
|
|
- exterior_opp_vid = opp_vid;
|
|
|
- exterior_slope_YX = slope_YX;
|
|
|
- exterior_slope_ZX = slope_ZX;
|
|
|
+ if (outer_opp_vid == INVALID ||
|
|
|
+ slope_YX > outer_slope_YX ||
|
|
|
+ (slope_YX == outer_slope_YX &&
|
|
|
+ slope_ZX > outer_slope_ZX)) {
|
|
|
+ outer_opp_vid = opp_vid;
|
|
|
+ outer_slope_YX = slope_YX;
|
|
|
+ outer_slope_ZX = slope_ZX;
|
|
|
incident_faces = {fid};
|
|
|
}
|
|
|
} else if (!infinite_slope_detected) {
|
|
|
// Infinite slope
|
|
|
- exterior_opp_vid = opp_vid;
|
|
|
+ outer_opp_vid = opp_vid;
|
|
|
infinite_slope_detected = true;
|
|
|
incident_faces = {fid};
|
|
|
}
|
|
@@ -148,15 +147,15 @@ IGL_INLINE void igl::exterior_edge(
|
|
|
for (size_t i=0; i<num_candidate_faces; i++) {
|
|
|
const Index fid = candidate_faces[i];
|
|
|
const IndexArray3& f = F.row(fid);
|
|
|
- size_t id = get_vertex_index(f, exterior_vid);
|
|
|
+ size_t id = get_vertex_index(f, outer_vid);
|
|
|
Index next_vid = f[(id+1)%3];
|
|
|
Index prev_vid = f[(id+2)%3];
|
|
|
- check_and_update_exterior_edge(next_vid, fid);
|
|
|
- check_and_update_exterior_edge(prev_vid, fid);
|
|
|
+ check_and_update_outer_edge(next_vid, fid);
|
|
|
+ check_and_update_outer_edge(prev_vid, fid);
|
|
|
}
|
|
|
|
|
|
- v1 = exterior_vid;
|
|
|
- v2 = exterior_opp_vid;
|
|
|
+ v1 = outer_vid;
|
|
|
+ v2 = outer_opp_vid;
|
|
|
A.resize(incident_faces.size());
|
|
|
std::copy(incident_faces.begin(), incident_faces.end(), A.data());
|
|
|
}
|
|
@@ -168,7 +167,7 @@ template<
|
|
|
typename DerivedI,
|
|
|
typename IndexType
|
|
|
>
|
|
|
-IGL_INLINE void igl::exterior_facet(
|
|
|
+IGL_INLINE void igl::outer_facet(
|
|
|
const Eigen::PlainObjectBase<DerivedV> & V,
|
|
|
const Eigen::PlainObjectBase<DerivedF> & F,
|
|
|
const Eigen::PlainObjectBase<DerivedN> & N,
|
|
@@ -176,17 +175,18 @@ IGL_INLINE void igl::exterior_facet(
|
|
|
IndexType & f,
|
|
|
bool & flipped) {
|
|
|
// Algorithm:
|
|
|
- // Compute the exterior edge.
|
|
|
- // Find the facet with the largest absolute X normal component.
|
|
|
+ // Find an outer edge.
|
|
|
+ // Find the incident facet with the largest absolute X normal component.
|
|
|
// If there is a tie, keep the one with positive X component.
|
|
|
- // If there is still a tie, pick the face with the larger index.
|
|
|
+ // If there is still a tie, pick the face with the larger signed index
|
|
|
+ // (flipped face has negative index).
|
|
|
typedef typename DerivedV::Scalar Scalar;
|
|
|
typedef typename DerivedV::Index Index;
|
|
|
const size_t INVALID = std::numeric_limits<size_t>::max();
|
|
|
|
|
|
Index v1,v2;
|
|
|
DerivedI incident_faces;
|
|
|
- exterior_edge(V, F, I, v1, v2, incident_faces);
|
|
|
+ outer_edge(V, F, I, v1, v2, incident_faces);
|
|
|
assert(incident_faces.size() > 0);
|
|
|
|
|
|
auto generic_fabs = [&](const Scalar& val) -> const Scalar {
|
|
@@ -195,41 +195,41 @@ IGL_INLINE void igl::exterior_facet(
|
|
|
};
|
|
|
|
|
|
Scalar max_nx = 0;
|
|
|
- size_t exterior_fid = INVALID;
|
|
|
+ size_t outer_fid = INVALID;
|
|
|
const size_t num_incident_faces = incident_faces.size();
|
|
|
for (size_t i=0; i<num_incident_faces; i++) {
|
|
|
const auto& fid = incident_faces[i];
|
|
|
const Scalar nx = N(fid, 0);
|
|
|
- if (exterior_fid == INVALID) {
|
|
|
+ if (outer_fid == INVALID) {
|
|
|
max_nx = nx;
|
|
|
- exterior_fid = fid;
|
|
|
+ outer_fid = fid;
|
|
|
} else {
|
|
|
if (generic_fabs(nx) > generic_fabs(max_nx)) {
|
|
|
max_nx = nx;
|
|
|
- exterior_fid = fid;
|
|
|
+ outer_fid = fid;
|
|
|
} else if (nx == -max_nx && nx > 0) {
|
|
|
max_nx = nx;
|
|
|
- exterior_fid = fid;
|
|
|
+ outer_fid = fid;
|
|
|
} else if (nx == max_nx) {
|
|
|
- if ((max_nx >= 0 && exterior_fid < fid) ||
|
|
|
- (max_nx < 0 && exterior_fid > fid)) {
|
|
|
+ if ((max_nx >= 0 && outer_fid < fid) ||
|
|
|
+ (max_nx < 0 && outer_fid > fid)) {
|
|
|
max_nx = nx;
|
|
|
- exterior_fid = fid;
|
|
|
+ outer_fid = fid;
|
|
|
}
|
|
|
}
|
|
|
}
|
|
|
}
|
|
|
|
|
|
- assert(exterior_fid != INVALID);
|
|
|
- f = exterior_fid;
|
|
|
+ assert(outer_fid != INVALID);
|
|
|
+ f = outer_fid;
|
|
|
flipped = max_nx < 0;
|
|
|
}
|
|
|
|
|
|
|
|
|
#ifdef IGL_STATIC_LIBRARY
|
|
|
// Explicit template specialization
|
|
|
-template void igl::exterior_facet<Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<int, -1, 3, 0, -1, 3>, Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<long, -1, 1, 0, -1, 1>, int>(Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<long, -1, 1, 0, -1, 1> > const&, int&, bool&);
|
|
|
-template void igl::exterior_facet<Eigen::Matrix<double, -1, -1, 1, -1, -1>, Eigen::Matrix<int, -1, -1, 1, -1, -1>, Eigen::Matrix<double, -1, -1, 1, -1, -1>, Eigen::Matrix<int, -1, -1, 1, -1, -1>, unsigned long>(Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 1, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 1, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 1, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 1, -1, -1> > const&, unsigned long&, bool&);
|
|
|
-template void igl::exterior_facet<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<int, -1, 1, 0, -1, 1>, int>(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<double, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 1, 0, -1, 1> > const&, int&, bool&);
|
|
|
-template void igl::exterior_facet<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>, int>(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<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 1, 0, -1, 1> > const&, int&, bool&);
|
|
|
+template void igl::outer_facet<Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<int, -1, 3, 0, -1, 3>, Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<long, -1, 1, 0, -1, 1>, int>(Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<long, -1, 1, 0, -1, 1> > const&, int&, bool&);
|
|
|
+template void igl::outer_facet<Eigen::Matrix<double, -1, -1, 1, -1, -1>, Eigen::Matrix<int, -1, -1, 1, -1, -1>, Eigen::Matrix<double, -1, -1, 1, -1, -1>, Eigen::Matrix<int, -1, -1, 1, -1, -1>, unsigned long>(Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 1, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 1, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 1, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 1, -1, -1> > const&, unsigned long&, bool&);
|
|
|
+template void igl::outer_facet<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, 3, 0, -1, 3>, Eigen::Matrix<int, -1, 1, 0, -1, 1>, int>(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<double, -1, 3, 0, -1, 3> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 1, 0, -1, 1> > const&, int&, bool&);
|
|
|
+template void igl::outer_facet<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>, int>(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<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 1, 0, -1, 1> > const&, int&, bool&);
|
|
|
#endif
|