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clip.cpp
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#include "clip.h"
#include "process.h"
#include "include/CDTUtils.h"
#include "include/CDT.h"
namespace coacd
{
void Writepoints(vector<array<double, 2>> points, string filename)
{
std::ofstream os(filename);
for (int n = 0; n < (int)points.size(); n++)
{
os << "v " << points[n][0] << " " << points[n][1] << " 0"
<< "\n";
}
os.close();
}
void PrintEdgeSet(vector<pair<int, int>> edges)
{
ofstream of("../edge.txt");
for (int i = 0; i < (int)edges.size(); i++)
{
of << i + 1 << ' ' << edges[i].first << ' ' << edges[i].second << endl;
}
of.close();
}
bool CreatePlaneRotationMatrix(vector<vec3d> &border, vector<pair<int, int>> border_edges, vec3d &T, double R[3][3], Plane &plane)
{
int idx0 = 0;
int idx1;
int idx2;
bool flag = 0;
for (int i = 1; i < (int)border.size(); i++)
{
double dist = sqrt(pow(border[idx0][0] - border[i][0], 2) + pow(border[idx0][1] - border[i][1], 2) + pow(border[idx0][2] - border[i][2], 2));
if (dist > 0.01)
{
flag = 1;
idx1 = i;
break;
}
}
if (!flag)
return false;
flag = 0;
for (int i = 2; i < (int)border.size(); i++)
{
if (i == idx1)
continue;
vec3d p0 = border[idx0];
vec3d p1 = border[idx1];
vec3d p2 = border[i];
vec3d AB, BC;
AB[0] = p1[0] - p0[0];
AB[1] = p1[1] - p0[1];
AB[2] = p1[2] - p0[2];
BC[0] = p2[0] - p1[0];
BC[1] = p2[1] - p1[1];
BC[2] = p2[2] - p1[2];
double dot_product = AB[0] * BC[0] + AB[1] * BC[1] + AB[2] * BC[2];
double res = dot_product / (sqrt(pow(AB[0], 2) + pow(AB[1], 2) + pow(AB[2], 2)) * sqrt(pow(BC[0], 2) + pow(BC[1], 2) + pow(BC[2], 2)));
if (fabs(fabs(res) - 1) > 1e-6 && fabs(res) < INF) // AB not \\ BC, dot product != 1
{
flag = 1;
idx2 = i;
break;
}
}
if (!flag)
return false;
double t0, t1, t2;
vec3d p0 = border[idx0], p1 = border[idx1], p2 = border[idx2];
vec3d normal = CalFaceNormal(p0, p1, p2);
if (normal[0] * plane.a > 0 || normal[1] * plane.b > 0 || normal[2] * plane.c > 0)
{
p0 = border[idx2];
p1 = border[idx1];
p2 = border[idx0];
}
plane.pFlag = true;
plane.p0 = p2;
plane.p1 = p1;
plane.p2 = p0;
// translate to origin
T = p0;
// rotation matrix
double eps = 0.0;
R[0][0] = (p0[0] - p1[0]) / (sqrt(pow(p0[0] - p1[0], 2) + pow(p0[1] - p1[1], 2) + pow(p0[2] - p1[2], 2)) + eps);
R[0][1] = (p0[1] - p1[1]) / (sqrt(pow(p0[0] - p1[0], 2) + pow(p0[1] - p1[1], 2) + pow(p0[2] - p1[2], 2)) + eps);
R[0][2] = (p0[2] - p1[2]) / (sqrt(pow(p0[0] - p1[0], 2) + pow(p0[1] - p1[1], 2) + pow(p0[2] - p1[2], 2)) + eps);
t0 = (p2[2] - p0[2]) * R[0][1] - (p2[1] - p0[1]) * R[0][2];
t1 = (p2[0] - p0[0]) * R[0][2] - (p2[2] - p0[2]) * R[0][0];
t2 = (p2[1] - p0[1]) * R[0][0] - (p2[0] - p0[0]) * R[0][1];
R[2][0] = t0 / (sqrt(pow(t0, 2) + pow(t1, 2) + pow(t2, 2)) + eps);
R[2][1] = t1 / (sqrt(pow(t0, 2) + pow(t1, 2) + pow(t2, 2)) + eps);
R[2][2] = t2 / (sqrt(pow(t0, 2) + pow(t1, 2) + pow(t2, 2)) + eps);
t0 = R[2][2] * R[0][1] - R[2][1] * R[0][2];
t1 = R[2][0] * R[0][2] - R[2][2] * R[0][0];
t2 = R[2][1] * R[0][0] - R[2][0] * R[0][1];
R[1][0] = t0 / (sqrt(pow(t0, 2) + pow(t1, 2) + pow(t2, 2)) + eps);
R[1][1] = t1 / (sqrt(pow(t0, 2) + pow(t1, 2) + pow(t2, 2)) + eps);
R[1][2] = t2 / (sqrt(pow(t0, 2) + pow(t1, 2) + pow(t2, 2)) + eps);
return true;
}
short Triangulation(vector<vec3d> &border, vector<pair<int, int>> border_edges, vector<vec3i> &border_triangles, Plane &plane)
{
double R[3][3];
vec3d T;
bool flag = CreatePlaneRotationMatrix(border, border_edges, T, R, plane);
if (!flag)
return 1;
vector<array<double, 2>> points, nodes;
double x_min = INF, x_max = -INF, y_min = INF, y_max = -INF;
for (int i = 0; i < (int)border.size(); i++)
{
double x, y, z, px, py;
x = border[i][0] - T[0];
y = border[i][1] - T[1];
z = border[i][2] - T[2];
px = R[0][0] * x + R[0][1] * y + R[0][2] * z;
py = R[1][0] * x + R[1][1] * y + R[1][2] * z;
points.push_back({px, py});
x_min = min(x_min, px);
x_max = max(x_max, px);
y_min = min(y_min, py);
y_max = max(y_max, py);
}
int borderN = (int)points.size();
CDT::Triangulation<double> cdt;
try
{
cdt.insertVertices(
points.begin(),
points.end(),
[](const std::array<double, 2> &p)
{ return p[0]; },
[](const std::array<double, 2> &p)
{ return p[1]; });
cdt.insertEdges(
border_edges.begin(),
border_edges.end(),
[](const std::pair<int, int> &p)
{ return (int)p.first - 1; },
[](const std::pair<int, int> &p)
{ return (int)p.second - 1; });
cdt.eraseSuperTriangle();
}
catch (const std::runtime_error &e)
{
return 2;
}
for (size_t i = 0; i < (size_t)cdt.triangles.size(); i++)
{
border_triangles.push_back({(int)cdt.triangles[i].vertices[0] + 1,
(int)cdt.triangles[i].vertices[1] + 1,
(int)cdt.triangles[i].vertices[2] + 1});
}
for (int i = (int)border.size(); i < borderN; i++)
{
double x, y, z;
CDT::V2d<double> vertex = cdt.vertices[i];
x = R[0][0] * vertex.x + R[1][0] * vertex.y + T[0];
y = R[0][1] * vertex.x + R[1][1] * vertex.y + T[1];
z = R[0][2] * vertex.x + R[1][2] * vertex.y + T[2];
border.push_back({x, y, z});
}
return 0;
}
void RemoveOutlierTriangles(vector<vec3d> border, vector<vec3d> overlap, vector<pair<int, int>> border_edges, vector<vec3i> border_triangles, int oriN,
map<int, int> &vertex_map, vector<vec3d> &final_border, vector<vec3i> &final_triangles)
{
deque<pair<int, int>> BFS_edges(border_edges.begin(), border_edges.end());
map<pair<int, int>, pair<int, int>> edge_map;
map<pair<int, int>, bool> border_map;
map<pair<int, int>, bool> same_edge_map;
map<int, bool> overlap_map;
const int v_lenth = (int)border.size();
const int f_lenth = (int)border_triangles.size();
bool *add_vertex = new bool[v_lenth]();
bool *remove_map = new bool[f_lenth]();
for (int i = 0; i < (int)overlap.size(); i++)
for (int j = 0; j < (int)border.size(); j++)
if (SamePointDetect(overlap[i], border[j]))
overlap_map[j + 1] = true;
for (int i = 0; i < (int)border_edges.size(); i++)
{
int v0 = border_edges[i].first, v1 = border_edges[i].second;
same_edge_map[std::pair<int, int>(v0, v1)] = true;
}
for (int i = 0; i < (int)border_edges.size(); i++)
{
int v0 = border_edges[i].first, v1 = border_edges[i].second;
if (same_edge_map.find(std::pair<int, int>(v1, v0)) == same_edge_map.end())
{
border_map[std::pair<int, int>(v0, v1)] = true;
border_map[std::pair<int, int>(v1, v0)] = true;
}
}
int borderN = border.size();
for (int i = 0; i < (int)border_triangles.size(); i++)
{
int v0, v1, v2;
v0 = border_triangles[i][0];
v1 = border_triangles[i][1];
v2 = border_triangles[i][2];
if (!(v0 >= 1 && v0 <= borderN && v1 >= 1 && v1 <= borderN && v2 >= 1 && v2 <= borderN)) // ignore points added by triangle
continue;
pair<int, int> edge01 = std::pair<int, int>(v0, v1), edge10 = std::pair<int, int>(v1, v0);
pair<int, int> edge12 = std::pair<int, int>(v1, v2), edge21 = std::pair<int, int>(v2, v1);
pair<int, int> edge20 = std::pair<int, int>(v2, v0), edge02 = std::pair<int, int>(v0, v2);
if (!(same_edge_map.find(edge10) != same_edge_map.end() && same_edge_map.find(edge01) != same_edge_map.end()))
{
if (edge_map.find(edge10) == edge_map.end())
edge_map[edge01] = std::pair<int, int>(i, -1);
else
edge_map[edge10] = std::pair<int, int>(edge_map[edge10].first, i);
}
if (!(same_edge_map.find(edge12) != same_edge_map.end() && same_edge_map.find(edge21) != same_edge_map.end()))
{
if (edge_map.find(edge21) == edge_map.end())
edge_map[edge12] = std::pair<int, int>(i, -1);
else
edge_map[edge21] = std::pair<int, int>(edge_map[edge21].first, i);
}
if (!(same_edge_map.find(edge02) != same_edge_map.end() && same_edge_map.find(edge20) != same_edge_map.end()))
{
if (edge_map.find(edge02) == edge_map.end())
edge_map[edge20] = std::pair<int, int>(i, -1);
else
edge_map[edge02] = std::pair<int, int>(edge_map[edge02].first, i);
}
}
int i = 0;
while (!BFS_edges.empty())
{
pair<int, int> item = BFS_edges[0];
BFS_edges.pop_front();
int v0 = item.first, v1 = item.second;
int idx;
pair<int, int> edge01 = std::pair<int, int>(v0, v1), edge10 = std::pair<int, int>(v1, v0);
if (i < (int)border_edges.size() && edge_map.find(edge10) != edge_map.end())
{
idx = edge_map[edge10].second;
if (idx != -1)
remove_map[idx] = true;
idx = edge_map[edge10].first;
if (idx != -1 && !remove_map[idx] && !FaceOverlap(overlap_map, border_triangles[idx]))
{
remove_map[idx] = true;
final_triangles.push_back(border_triangles[idx]);
for (int k = 0; k < 3; k++)
add_vertex[border_triangles[idx][k] - 1] = true;
int p0 = border_triangles[idx][0], p1 = border_triangles[idx][1], p2 = border_triangles[idx][2];
if (p2 != v0 && p2 != v1)
{
pair<int, int> pt12 = std::pair<int, int>(p1, p2), pt20 = std::pair<int, int>(p2, p0);
if (border_map.find(pt12) == border_map.end())
BFS_edges.push_back(pt12);
if (border_map.find(pt20) == border_map.end())
BFS_edges.push_back(pt20);
}
else if (p1 != v0 && p1 != v1)
{
pair<int, int> pt12 = std::pair<int, int>(p1, p2), pt01 = std::pair<int, int>(p0, p1);
if (border_map.find(pt12) == border_map.end())
BFS_edges.push_back(pt12);
if (border_map.find(pt01) == border_map.end())
BFS_edges.push_back(pt01);
}
else if (p0 != v0 && p0 != v1)
{
pair<int, int> pt01 = std::pair<int, int>(p0, p1), pt20 = std::pair<int, int>(p2, p0);
if (border_map.find(pt01) == border_map.end())
BFS_edges.push_back(pt01);
if (border_map.find(pt20) == border_map.end())
BFS_edges.push_back(pt20);
}
}
}
else if (i < (int)border_edges.size() && edge_map.find(edge01) != edge_map.end())
{
idx = edge_map[edge01].first;
if (idx != -1)
remove_map[idx] = true;
idx = edge_map[edge01].second;
if (idx != -1 && !remove_map[idx] && !FaceOverlap(overlap_map, border_triangles[idx]))
{
remove_map[idx] = true;
final_triangles.push_back(border_triangles[idx]);
for (int k = 0; k < 3; k++)
add_vertex[border_triangles[idx][k] - 1] = true;
int p0 = border_triangles[idx][0], p1 = border_triangles[idx][1], p2 = border_triangles[idx][2];
if (p2 != v0 && p2 != v1)
{
pair<int, int> pt21 = std::pair<int, int>(p2, p1), pt02 = std::pair<int, int>(p0, p2);
if (border_map.find(pt21) == border_map.end())
BFS_edges.push_back(pt21);
if (border_map.find(pt02) == border_map.end())
BFS_edges.push_back(pt02);
}
else if (p1 != v0 && p1 != v1)
{
pair<int, int> pt21 = std::pair<int, int>(p2, p1), pt10 = std::pair<int, int>(p1, p0);
if (border_map.find(pt21) == border_map.end())
BFS_edges.push_back(pt21);
if (border_map.find(pt10) == border_map.end())
BFS_edges.push_back(pt10);
}
else if (p0 != v0 && p0 != v1)
{
pair<int, int> pt10 = std::pair<int, int>(p1, p0), pt02 = std::pair<int, int>(p0, p2);
if (border_map.find(pt10) == border_map.end())
BFS_edges.push_back(pt10);
if (border_map.find(pt02) == border_map.end())
BFS_edges.push_back(pt02);
}
}
}
else if (i >= (int)border_edges.size() && (edge_map.find(edge01) != edge_map.end() ||
edge_map.find(edge10) != edge_map.end()))
{
for (int j = 0; j < 2; j++)
{
if (j == 0)
if (edge_map.find(edge01) != edge_map.end())
idx = edge_map[edge01].first;
else
idx = edge_map[edge10].first;
else if (edge_map.find(edge01) != edge_map.end())
idx = edge_map[edge01].second;
else
idx = edge_map[edge10].second;
if (idx != -1 && !remove_map[idx])
{
remove_map[idx] = true;
final_triangles.push_back(border_triangles[idx]);
for (int k = 0; k < 3; k++)
add_vertex[border_triangles[idx][k] - 1] = true;
int p0 = border_triangles[idx][0], p1 = border_triangles[idx][1], p2 = border_triangles[idx][2];
if (p2 != v0 && p2 != v1)
{
BFS_edges.push_back(std::pair<int, int>(p1, p2));
BFS_edges.push_back(std::pair<int, int>(p2, p0));
}
else if (p1 != v0 && p1 != v1)
{
BFS_edges.push_back(std::pair<int, int>(p1, p2));
BFS_edges.push_back(std::pair<int, int>(p0, p1));
}
else if (p0 != v0 && p0 != v1)
{
BFS_edges.push_back(std::pair<int, int>(p0, p1));
BFS_edges.push_back(std::pair<int, int>(p2, p0));
}
}
}
}
i++;
}
int index = 0;
for (int i = 0; i < (int)border.size(); i++)
{
if (i < oriN || add_vertex[i] == true)
{
final_border.push_back(border[i]);
vertex_map[i + 1] = ++index;
}
}
delete[] add_vertex;
delete[] remove_map;
}
bool Clip(const Model &mesh, Model &pos, Model &neg, Plane &plane, double &cut_area, bool foo)
{
Model t = mesh;
vector<vec3d> border;
vector<vec3d> overlap;
vector<vec3i> border_triangles, final_triangles;
vector<pair<int, int>> border_edges;
map<int, int> border_map;
vector<vec3d> final_border;
const int N = (int)mesh.points.size();
int idx = 0;
bool *pos_map = new bool[N]();
bool *neg_map = new bool[N]();
map<pair<int, int>, int> edge_map;
map<int, int> vertex_map;
for (int i = 0; i < (int)mesh.triangles.size(); i++)
{
int id0, id1, id2;
id0 = mesh.triangles[i][0];
id1 = mesh.triangles[i][1];
id2 = mesh.triangles[i][2];
vec3d p0, p1, p2;
p0 = mesh.points[id0];
p1 = mesh.points[id1];
p2 = mesh.points[id2];
short s0 = plane.Side(p0), s1 = plane.Side(p1), s2 = plane.Side(p2);
short sum = s0 + s1 + s2;
if (s0 == 0 && s1 == 0 && s2 == 0)
{
s0 = s1 = s2 = plane.CutSide(p0, p1, p2, plane);
sum = s0 + s1 + s2;
overlap.push_back(p0);
overlap.push_back(p1);
overlap.push_back(p2);
}
if (sum == 3 || sum == 2 || (sum == 1 && ((s0 == 1 && s1 == 0 && s2 == 0) || (s0 == 0 && s1 == 1 && s2 == 0) || (s0 == 0 && s1 == 0 && s2 == 1)))) // pos side
{
pos_map[id0] = true;
pos_map[id1] = true;
pos_map[id2] = true;
pos.triangles.push_back(mesh.triangles[i]);
// the plane cross the triangle edge
if (sum == 1)
{
if (s0 == 1 && s1 == 0 && s2 == 0)
{
addPoint(vertex_map, border, p1, id1, idx);
addPoint(vertex_map, border, p2, id2, idx);
if (vertex_map[id1] != vertex_map[id2])
border_edges.push_back(std::pair<int, int>(vertex_map[id1] + 1, vertex_map[id2] + 1));
}
else if (s0 == 0 && s1 == 1 && s2 == 0)
{
addPoint(vertex_map, border, p2, id2, idx);
addPoint(vertex_map, border, p0, id0, idx);
if (vertex_map[id2] != vertex_map[id0])
border_edges.push_back(std::pair<int, int>(vertex_map[id2] + 1, vertex_map[id0] + 1));
}
else if (s0 == 0 && s1 == 0 && s2 == 1)
{
addPoint(vertex_map, border, p0, id0, idx);
addPoint(vertex_map, border, p1, id1, idx);
if (vertex_map[id0] != vertex_map[id1])
border_edges.push_back(std::pair<int, int>(vertex_map[id0] + 1, vertex_map[id1] + 1));
}
}
}
else if (sum == -3 || sum == -2 || (sum == -1 && ((s0 == -1 && s1 == 0 && s2 == 0) || (s0 == 0 && s1 == -1 && s2 == 0) || (s0 == 0 && s1 == 0 && s2 == -1)))) // neg side
{
neg_map[id0] = true;
neg_map[id1] = true;
neg_map[id2] = true;
neg.triangles.push_back(mesh.triangles[i]);
// the plane cross the triangle edge
if (sum == -1)
{
if (s0 == -1 && s1 == 0 && s2 == 0)
{
addPoint(vertex_map, border, p2, id2, idx);
addPoint(vertex_map, border, p1, id1, idx);
if (vertex_map[id2] != vertex_map[id1])
border_edges.push_back(std::pair<int, int>(vertex_map[id2] + 1, vertex_map[id1] + 1));
}
else if (s0 == 0 && s1 == -1 && s2 == 0)
{
addPoint(vertex_map, border, p0, id0, idx);
addPoint(vertex_map, border, p2, id2, idx);
if (vertex_map[id0] != vertex_map[id2])
border_edges.push_back(std::pair<int, int>(vertex_map[id0] + 1, vertex_map[id2] + 1));
}
else if (s0 == 0 && s1 == 0 && s2 == -1)
{
addPoint(vertex_map, border, p1, id1, idx);
addPoint(vertex_map, border, p0, id0, idx);
if (vertex_map[id1] != vertex_map[id0])
border_edges.push_back(std::pair<int, int>(vertex_map[id1] + 1, vertex_map[id0] + 1));
}
}
}
else // different side
{
bool f0, f1, f2;
vec3d pi0, pi1, pi2;
f0 = plane.IntersectSegment(p0, p1, pi0);
f1 = plane.IntersectSegment(p1, p2, pi1);
f2 = plane.IntersectSegment(p2, p0, pi2);
if (f0 && f1 && !f2)
{
// record the points
// f0
addEdgePoint(edge_map, border, pi0, id0, id1, idx);
// f1
addEdgePoint(edge_map, border, pi1, id1, id2, idx);
// record the edges
int f0_idx = edge_map[std::pair<int, int>(id0, id1)];
int f1_idx = edge_map[std::pair<int, int>(id1, id2)];
if (s1 == 1)
{
if (f1_idx != f0_idx)
{
border_edges.push_back(std::pair<int, int>(f1_idx + 1, f0_idx + 1)); // border
pos_map[id1] = true;
neg_map[id0] = true;
neg_map[id2] = true;
pos.triangles.push_back({id1, -1 * f1_idx - 1, -1 * f0_idx - 1}); // make sure it is not zero
neg.triangles.push_back({id0, -1 * f0_idx - 1, -1 * f1_idx - 1});
neg.triangles.push_back({-1 * f1_idx - 1, id2, id0});
}
else
{
neg_map[id0] = true;
neg_map[id2] = true;
neg.triangles.push_back({-1 * f1_idx - 1, id2, id0});
}
}
else
{
if (f0_idx != f1_idx)
{
border_edges.push_back(std::pair<int, int>(f0_idx + 1, f1_idx + 1)); // border
neg_map[id1] = true;
pos_map[id0] = true;
pos_map[id2] = true;
neg.triangles.push_back({id1, -1 * f1_idx - 1, -1 * f0_idx - 1});
pos.triangles.push_back({id0, -1 * f0_idx - 1, -1 * f1_idx - 1});
pos.triangles.push_back({-1 * f1_idx - 1, id2, id0});
}
else
{
pos_map[id0] = true;
pos_map[id2] = true;
pos.triangles.push_back({-1 * f1_idx - 1, id2, id0});
}
}
}
else if (f1 && f2 && !f0)
{
// f1
addEdgePoint(edge_map, border, pi1, id1, id2, idx);
// f2
addEdgePoint(edge_map, border, pi2, id2, id0, idx);
// record the edges
int f1_idx = edge_map[std::pair<int, int>(id1, id2)];
int f2_idx = edge_map[std::pair<int, int>(id2, id0)];
if (s2 == 1)
{
if (f2_idx != f1_idx)
{
border_edges.push_back(std::pair<int, int>(f2_idx + 1, f1_idx + 1));
pos_map[id2] = true;
neg_map[id0] = true;
neg_map[id1] = true;
pos.triangles.push_back({id2, -1 * f2_idx - 1, -1 * f1_idx - 1});
neg.triangles.push_back({id0, -1 * f1_idx - 1, -1 * f2_idx - 1});
neg.triangles.push_back({-1 * f1_idx - 1, id0, id1});
}
else
{
neg_map[id0] = true;
neg_map[id1] = true;
neg.triangles.push_back({-1 * f1_idx - 1, id0, id1});
}
}
else
{
if (f1_idx != f2_idx)
{
border_edges.push_back(std::pair<int, int>(f1_idx + 1, f2_idx + 1));
neg_map[id2] = true;
pos_map[id0] = true;
pos_map[id1] = true;
neg.triangles.push_back({id2, -1 * f2_idx - 1, -1 * f1_idx - 1});
pos.triangles.push_back({id0, -1 * f1_idx - 1, -1 * f2_idx - 1});
pos.triangles.push_back({-1 * f1_idx - 1, id0, id1});
}
else
{
pos_map[id0] = true;
pos_map[id1] = true;
pos.triangles.push_back({-1 * f1_idx - 1, id0, id1});
}
}
}
else if (f2 && f0 && !f1)
{
// f2
addEdgePoint(edge_map, border, pi2, id2, id0, idx);
// f0
addEdgePoint(edge_map, border, pi0, id0, id1, idx);
int f0_idx = edge_map[std::pair<int, int>(id0, id1)];
int f2_idx = edge_map[std::pair<int, int>(id2, id0)];
if (s0 == 1)
{
if (f0_idx != f2_idx)
{
border_edges.push_back(std::pair<int, int>(f0_idx + 1, f2_idx + 1));
pos_map[id0] = true;
neg_map[id1] = true;
neg_map[id2] = true;
pos.triangles.push_back({id0, -1 * f0_idx - 1, -1 * f2_idx - 1});
neg.triangles.push_back({id1, -1 * f2_idx - 1, -1 * f0_idx - 1});
neg.triangles.push_back({-1 * f2_idx - 1, id1, id2});
}
else
{
neg_map[id1] = true;
neg_map[id2] = true;
neg.triangles.push_back({-1 * f2_idx - 1, id1, id2});
}
}
else
{
if (f2_idx != f0_idx)
{
border_edges.push_back(std::pair<int, int>(f2_idx + 1, f0_idx + 1));
neg_map[id0] = true;
pos_map[id1] = true;
pos_map[id2] = true;
neg.triangles.push_back({id0, -1 * f0_idx - 1, -1 * f2_idx - 1});
pos.triangles.push_back({id1, -1 * f2_idx - 1, -1 * f0_idx - 1});
pos.triangles.push_back({-1 * f2_idx - 1, id1, id2});
}
else
{
pos_map[id1] = true;
pos_map[id2] = true;
pos.triangles.push_back({-1 * f2_idx - 1, id1, id2});
}
}
}
else if (f0 && f1 && f2)
{
if (s0 == 0 || (s0 != 0 && s1 != 0 && s2 != 0 && SamePointDetect(pi0, pi2))) // intersect at p0
{
// f2 = f0 = p0
addPoint(vertex_map, border, p0, id0, idx);
edge_map[std::pair<int, int>(id0, id1)] = vertex_map[id0];
edge_map[std::pair<int, int>(id1, id0)] = vertex_map[id0];
edge_map[std::pair<int, int>(id2, id0)] = vertex_map[id0];
edge_map[std::pair<int, int>(id0, id2)] = vertex_map[id0];
// f1
addEdgePoint(edge_map, border, pi1, id1, id2, idx);
int f1_idx = edge_map[std::pair<int, int>(id1, id2)];
int f0_idx = vertex_map[id0];
if (s1 == 1)
{
if (f1_idx != f0_idx)
{
border_edges.push_back(std::pair<int, int>(f1_idx + 1, f0_idx + 1));
pos_map[id1] = true;
neg_map[id2] = true;
pos.triangles.push_back({id1, -1 * f1_idx - 1, -1 * f0_idx - 1});
neg.triangles.push_back({id2, -1 * f0_idx - 1, -1 * f1_idx - 1});
}
}
else
{
if (f0_idx != f1_idx)
{
border_edges.push_back(std::pair<int, int>(f0_idx + 1, f1_idx + 1));
neg_map[id1] = true;
pos_map[id2] = true;
neg.triangles.push_back({id1, -1 * f1_idx - 1, -1 * f0_idx - 1});
pos.triangles.push_back({id2, -1 * f0_idx - 1, -1 * f1_idx - 1});
}
}
}
else if (s1 == 0 || (s0 != 0 && s1 != 0 && s2 != 0 && SamePointDetect(pi0, pi1))) // intersect at p1
{
// f0 = f1 = p1
addPoint(vertex_map, border, p1, id1, idx);
edge_map[std::pair<int, int>(id0, id1)] = vertex_map[id1];
edge_map[std::pair<int, int>(id1, id0)] = vertex_map[id1];
edge_map[std::pair<int, int>(id1, id2)] = vertex_map[id1];
edge_map[std::pair<int, int>(id2, id1)] = vertex_map[id1];
// f2
addEdgePoint(edge_map, border, pi2, id2, id0, idx);
int f1_idx = vertex_map[id1];
int f2_idx = edge_map[std::pair<int, int>(id2, id0)];
if (s0 == 1)
{
if (f1_idx != f2_idx)
{
border_edges.push_back(std::pair<int, int>(f1_idx + 1, f2_idx + 1));
pos_map[id0] = true;
neg_map[id2] = true;
pos.triangles.push_back({id0, -1 * f1_idx - 1, -1 * f2_idx - 1});
neg.triangles.push_back({id2, -1 * f2_idx - 1, -1 * f1_idx - 1});
}
}
else
{
if (f2_idx != f1_idx)
{
border_edges.push_back(std::pair<int, int>(f2_idx + 1, f1_idx + 1));
neg_map[id0] = true;
pos_map[id2] = true;
neg.triangles.push_back({id0, -1 * f1_idx - 1, -1 * f2_idx - 1});
pos.triangles.push_back({id2, -1 * f2_idx - 1, -1 * f1_idx - 1});
}
}
}
else if (s2 == 0 || (s0 != 0 && s1 != 0 && s2 != 0 && SamePointDetect(pi1, pi2))) // intersect at p2
{
// f1 = f2 = p2
addPoint(vertex_map, border, p2, id2, idx);
edge_map[std::pair<int, int>(id1, id2)] = vertex_map[id2];
edge_map[std::pair<int, int>(id2, id1)] = vertex_map[id2];
edge_map[std::pair<int, int>(id2, id0)] = vertex_map[id2];
edge_map[std::pair<int, int>(id0, id2)] = vertex_map[id2];
// f0
addEdgePoint(edge_map, border, pi0, id0, id1, idx);
int f0_idx = edge_map[std::pair<int, int>(id0, id1)];
int f1_idx = vertex_map[id2];
if (s0 == 1)
{
if (f0_idx != f1_idx)
{
border_edges.push_back(std::pair<int, int>(f0_idx + 1, f1_idx + 1));
pos_map[id0] = true;
neg_map[id1] = true;
pos.triangles.push_back({id0, -1 * f0_idx - 1, -1 * f1_idx - 1});
neg.triangles.push_back({id1, -1 * f1_idx - 1, -1 * f0_idx - 1});
}
}
else
{
if (f1_idx != f0_idx)
{
border_edges.push_back(std::pair<int, int>(f1_idx + 1, f0_idx + 1));
neg_map[id0] = true;
pos_map[id1] = true;
neg.triangles.push_back({id0, -1 * f0_idx - 1, -1 * f1_idx - 1});
pos.triangles.push_back({id1, -1 * f1_idx - 1, -1 * f0_idx - 1});
}
}
}
else
throw runtime_error("Intersection error. Please report this error to [email protected] with your input OBJ and log file.");
}
}
}
if (border.size() > 2)
{
int oriN = (int)border.size();
short flag = Triangulation(border, border_edges, border_triangles, plane);
if (flag == 0)
RemoveOutlierTriangles(border, overlap, border_edges, border_triangles, oriN, border_map, final_border, final_triangles);
else if (flag == 1)
final_border = border; // remember to fill final_border with border!
else
return false; // clip failed
cut_area = 0;
}
else
{
final_border = border; // remember to fill final_border with border!
cut_area = -10;
}
// original points in two parts
double pos_x_min = INF, pos_x_max = -INF, pos_y_min = INF, pos_y_max = -INF, pos_z_min = INF, pos_z_max = -INF;
double neg_x_min = INF, neg_x_max = -INF, neg_y_min = INF, neg_y_max = -INF, neg_z_min = INF, neg_z_max = -INF;
int pos_idx = 0, neg_idx = 0;
int *pos_proj = new int[N]();
int *neg_proj = new int[N]();
for (int i = 0; i < N; i++)
{
if (pos_map[i] == true)
{
pos.points.push_back(mesh.points[i]);
pos_proj[i] = ++pos_idx; // 0 means not exist, so all plus 1
pos_x_min = min(pos_x_min, mesh.points[i][0]);
pos_x_max = max(pos_x_max, mesh.points[i][0]);
pos_y_min = min(pos_y_min, mesh.points[i][1]);
pos_y_max = max(pos_y_max, mesh.points[i][1]);
pos_z_min = min(pos_z_min, mesh.points[i][2]);
pos_z_max = max(pos_z_max, mesh.points[i][2]);
}
if (neg_map[i] == true)
{
neg.points.push_back(mesh.points[i]);
neg_proj[i] = ++neg_idx;
neg_x_min = min(neg_x_min, mesh.points[i][0]);
neg_x_max = max(neg_x_max, mesh.points[i][0]);
neg_y_min = min(neg_y_min, mesh.points[i][1]);
neg_y_max = max(neg_y_max, mesh.points[i][1]);
neg_z_min = min(neg_z_min, mesh.points[i][2]);
neg_z_max = max(neg_z_max, mesh.points[i][2]);
}
}
int pos_N = (int)pos.points.size(), neg_N = (int)neg.points.size();
// border points & triangles
for (int i = 0; i < (int)final_border.size(); i++)
{
pos.points.push_back(final_border[i]);
neg.points.push_back(final_border[i]);
pos_x_min = min(pos_x_min, final_border[i][0]);
pos_x_max = max(pos_x_max, final_border[i][0]);
pos_y_min = min(pos_y_min, final_border[i][1]);
pos_y_max = max(pos_y_max, final_border[i][1]);
pos_z_min = min(pos_z_min, final_border[i][2]);
pos_z_max = max(pos_z_max, final_border[i][2]);
neg_x_min = min(neg_x_min, final_border[i][0]);
neg_x_max = max(neg_x_max, final_border[i][0]);
neg_y_min = min(neg_y_min, final_border[i][1]);
neg_y_max = max(neg_y_max, final_border[i][1]);
neg_z_min = min(neg_z_min, final_border[i][2]);
neg_z_max = max(neg_z_max, final_border[i][2]);
}
pos.bbox[0] = pos_x_min;
pos.bbox[1] = pos_x_max;
pos.bbox[2] = pos_y_min;
pos.bbox[3] = pos_y_max;
pos.bbox[4] = pos_z_min;
pos.bbox[5] = pos_z_max;
neg.bbox[0] = neg_x_min;
neg.bbox[1] = neg_x_max;
neg.bbox[2] = neg_y_min;
neg.bbox[3] = neg_y_max;
neg.bbox[4] = neg_z_min;
neg.bbox[5] = neg_z_max;
// triangles
for (int i = 0; i < (int)pos.triangles.size(); i++)
{
int f0, f1, f2;
if (pos.triangles[i][0] >= 0)
f0 = pos_proj[pos.triangles[i][0]] - 1;
else
f0 = -1 * pos.triangles[i][0] + pos_N - 1;
if (pos.triangles[i][1] >= 0)
f1 = pos_proj[pos.triangles[i][1]] - 1;
else
f1 = -1 * pos.triangles[i][1] + pos_N - 1;
if (pos.triangles[i][2] >= 0)
f2 = pos_proj[pos.triangles[i][2]] - 1;
else
f2 = -1 * pos.triangles[i][2] + pos_N - 1;
pos.triangles[i] = {f0, f1, f2};
}
for (int i = 0; i < (int)neg.triangles.size(); i++)
{
int f0, f1, f2;
if (neg.triangles[i][0] >= 0)
f0 = neg_proj[neg.triangles[i][0]] - 1;
else
f0 = -1 * neg.triangles[i][0] + neg_N - 1;
if (neg.triangles[i][1] >= 0)
f1 = neg_proj[neg.triangles[i][1]] - 1;
else
f1 = -1 * neg.triangles[i][1] + neg_N - 1;
if (neg.triangles[i][2] >= 0)
f2 = neg_proj[neg.triangles[i][2]] - 1;
else
f2 = -1 * neg.triangles[i][2] + neg_N - 1;
neg.triangles[i] = {f0, f1, f2};
}
for (int i = 0; i < (int)final_triangles.size(); i++)
{
cut_area += Area(final_border[final_triangles[i][0] - 1], final_border[final_triangles[i][1] - 1], final_border[final_triangles[i][2] - 1]);
pos.triangles.push_back({pos_N + border_map[final_triangles[i][0]] - 1,
pos_N + border_map[final_triangles[i][1]] - 1,
pos_N + border_map[final_triangles[i][2]] - 1});
neg.triangles.push_back({neg_N + border_map[final_triangles[i][2]] - 1,
neg_N + border_map[final_triangles[i][1]] - 1,
neg_N + border_map[final_triangles[i][0]] - 1});
}
delete[] pos_proj;
delete[] neg_proj;
delete[] neg_map;
delete[] pos_map;
return true;
}
}