update src
This commit is contained in:
40
delaunay.h
40
delaunay.h
@@ -12,15 +12,13 @@
|
||||
#include "cmath"
|
||||
#include "vector"
|
||||
|
||||
#include "iostream"
|
||||
|
||||
#define ZERO 1e-5
|
||||
|
||||
// Start vertex definition
|
||||
struct vertex2dc
|
||||
{
|
||||
unsigned int id;
|
||||
double x, y;
|
||||
unsigned int id; // index of the vertex
|
||||
double x, y; // position of the vertex
|
||||
|
||||
vertex2dc() : x(NAN), y(NAN), id(0) {}
|
||||
vertex2dc(double inx, double iny, unsigned int inid = 0) {set(inx, iny, inid);}
|
||||
@@ -30,12 +28,21 @@ struct vertex2dc
|
||||
return;
|
||||
}
|
||||
};
|
||||
|
||||
bool operator ==(const vertex2dc &a, const vertex2dc &b) // overload the == operator for vertex2dc type
|
||||
{
|
||||
if(fabs(a.x - b.x) <= ZERO && fabs(a.y - b.y) <= ZERO)
|
||||
{
|
||||
return true;
|
||||
}
|
||||
return false;
|
||||
}
|
||||
// End vertex definition
|
||||
|
||||
// Start edge definition
|
||||
struct edge
|
||||
{
|
||||
vertex2dc *vert[2];
|
||||
vertex2dc *vert[2]; // vertex of the edge
|
||||
|
||||
edge() {vert[0] = vert[1] = nullptr;}
|
||||
edge(vertex2dc *v0ptr, vertex2dc *v1ptr) {set(v0ptr, v1ptr);}
|
||||
@@ -46,7 +53,7 @@ struct edge
|
||||
}
|
||||
};
|
||||
|
||||
bool operator ==(const edge &a, const edge &b)
|
||||
bool operator ==(const edge &a, const edge &b) // overload the == operator for edge type
|
||||
{
|
||||
if((a.vert[0] == b.vert[0] && a.vert[1] == b.vert[1]) ||
|
||||
(a.vert[0] == b.vert[1] && a.vert[1] == b.vert[0]))
|
||||
@@ -60,9 +67,9 @@ bool operator ==(const edge &a, const edge &b)
|
||||
// Start triangle definition
|
||||
struct triangle
|
||||
{
|
||||
vertex2dc *vert[3];
|
||||
double cx, cy; // triangle's circular center
|
||||
double cr; // triangle's circular radius
|
||||
vertex2dc *vert[3]; // vertex of the triangle
|
||||
double cx, cy; // center of the triangle's circumcircle
|
||||
double cr; // radius of the circumcircle
|
||||
|
||||
triangle() {vert[0] = vert[1] = vert[2] = nullptr;}
|
||||
triangle(vertex2dc *v0ptr, vertex2dc *v1ptr, vertex2dc *v2ptr) {set(v0ptr, v1ptr, v2ptr);}
|
||||
@@ -83,10 +90,10 @@ struct triangle
|
||||
// End triangle definition
|
||||
|
||||
/**
|
||||
* @brief 2D triangulation of given points using the Bowyer-Watson algorithm.
|
||||
* @brief 2D Delaunay triangulation of some given points using the Bowyer-Watson algorithm.
|
||||
*
|
||||
* @param in_verts Input vertexes
|
||||
* @param out_tris Output triangles
|
||||
* @param in_verts Input vertexes. Defined by the user.
|
||||
* @param out_tris Output triangles. Compute by the function.
|
||||
*/
|
||||
void triangulation(std::vector<vertex2dc> &in_verts, std::vector<triangle> &out_tris)
|
||||
{
|
||||
@@ -106,7 +113,7 @@ void triangulation(std::vector<vertex2dc> &in_verts, std::vector<triangle> &out_
|
||||
|
||||
double midx = 0.5*(xmin + xmax);
|
||||
double midy = 0.5*(ymin + ymax);
|
||||
double maxi_s = std::max(xmax - xmin, ymax - ymin); // use an extra wide rectangle to include all points
|
||||
double maxi_s = std::max(xmax - xmin, ymax - ymin); // use an four times bigger rectangle to include all points
|
||||
|
||||
vertex2dc *tmp_vert = nullptr;
|
||||
std::vector<vertex2dc*> assit_vert;
|
||||
@@ -142,6 +149,8 @@ void triangulation(std::vector<vertex2dc> &in_verts, std::vector<triangle> &out_
|
||||
{
|
||||
// determine triangles that include the point and add the triangle to the cnst_tri
|
||||
// Otherwise, add the triangle to the remain_tri
|
||||
// this is the part that could take a lot of time if we are working with a large amount of points
|
||||
// We will fix this later
|
||||
cnst_tri.clear();
|
||||
remain_tri.clear();
|
||||
for (int t = 0; t < exist_tri.size(); ++t)
|
||||
@@ -149,7 +158,7 @@ void triangulation(std::vector<vertex2dc> &in_verts, std::vector<triangle> &out_
|
||||
dist = (exist_tri[t]->cx - in_verts[i].x) * (exist_tri[t]->cx - in_verts[i].x) +
|
||||
(exist_tri[t]->cy - in_verts[i].y) * (exist_tri[t]->cy - in_verts[i].y);
|
||||
|
||||
if ((dist - exist_tri[t]->cr) <= ZERO) // inside // think more later
|
||||
if ((dist - exist_tri[t]->cr) <= ZERO) // Points on the circumcircle are also included
|
||||
{
|
||||
cnst_tri.push_back(exist_tri[t]);
|
||||
}
|
||||
@@ -168,7 +177,7 @@ void triangulation(std::vector<vertex2dc> &in_verts, std::vector<triangle> &out_
|
||||
tmp_edge.set(cnst_tri[c]->vert[e], cnst_tri[c]->vert[(e+1)%3]);
|
||||
|
||||
removed = false;
|
||||
for (e_iter = cnst_edge.begin(); e_iter != cnst_edge.end(); ++e_iter)
|
||||
for (e_iter = cnst_edge.begin(); e_iter != cnst_edge.end(); )
|
||||
{
|
||||
if (tmp_edge == *e_iter) // duplicate edge, remove from cnst_edge
|
||||
{
|
||||
@@ -176,6 +185,7 @@ void triangulation(std::vector<vertex2dc> &in_verts, std::vector<triangle> &out_
|
||||
removed = true;
|
||||
break; // no need to search more
|
||||
}
|
||||
else e_iter++;
|
||||
}
|
||||
|
||||
if (!removed) // not a duplicate edge, add to the cnst_edge
|
||||
|
||||
33
demo.cpp
33
demo.cpp
@@ -3,17 +3,28 @@
|
||||
|
||||
int main(int argc, char const *argv[])
|
||||
{
|
||||
std::vector<vertex2dc> points(10);
|
||||
points[0].set(-0.7, -0.3, 0);
|
||||
points[1].set(0.1, -0.4, 1);
|
||||
points[2].set(-0.1, -0.1, 2);
|
||||
points[3].set(-0.4, 0.0, 3);
|
||||
points[4].set(-0.4, -0.3, 4);
|
||||
points[5].set(-0.2, -0.1, 5);
|
||||
points[6].set(-0.2, -0.6, 6);
|
||||
points[7].set(-0.2, -0.4, 7);
|
||||
points[8].set(-0.5, -0.5, 8);
|
||||
points[9].set(-0.6, -0.2, 9);
|
||||
std::vector<vertex2dc> points(21);
|
||||
points[0].set(-0.8, -0.8, 0);
|
||||
points[1].set(0.4, -1.2, 1);
|
||||
points[2].set(1.2, -0.9, 2);
|
||||
points[3].set(1.6, 0.1, 3);
|
||||
points[4].set(2.5, 0.5, 4);
|
||||
points[5].set(4.1, 0.7, 5);
|
||||
points[6].set(5.7, 1.8, 6);
|
||||
points[7].set(5.1, 3.4, 7);
|
||||
points[8].set(2.5, 4.4, 8);
|
||||
points[9].set(1.2, 3.7, 9);
|
||||
points[10].set(-1.2, 3.9, 10);
|
||||
points[11].set(-3.2, 5.1, 11);
|
||||
points[12].set(-4.3, 2.9, 12);
|
||||
points[13].set(-3.1, 0.7, 13);
|
||||
points[14].set(-1.3, 0.6, 14);
|
||||
points[15].set(-2.1, 2.9, 15);
|
||||
points[16].set(0.6, 1.2, 16);
|
||||
points[17].set(0.1, 2.4, 17);
|
||||
points[18].set(2.4, 2.8, 18);
|
||||
points[19].set(3.5, 1.8, 19);
|
||||
points[20].set(3.6, 3.1, 20);
|
||||
|
||||
std::vector<triangle> elements;
|
||||
triangulation(points, elements);
|
||||
|
||||
74
demo.off
74
demo.off
@@ -1,23 +1,53 @@
|
||||
OFF
|
||||
10 11 0
|
||||
-0.7 -0.3 0
|
||||
0.1 -0.4 0
|
||||
-0.1 -0.1 0
|
||||
-0.4 0 0
|
||||
-0.4 -0.3 0
|
||||
-0.2 -0.1 0
|
||||
-0.2 -0.6 0
|
||||
-0.2 -0.4 0
|
||||
-0.5 -0.5 0
|
||||
-0.6 -0.2 0
|
||||
3 2 3 5
|
||||
3 3 4 5
|
||||
3 1 2 7
|
||||
3 6 1 7
|
||||
3 2 5 7
|
||||
3 5 4 7
|
||||
3 6 7 8
|
||||
3 7 4 8
|
||||
3 4 3 9
|
||||
3 0 8 9
|
||||
3 8 4 9
|
||||
21 30 0
|
||||
-0.8 -0.8 0
|
||||
0.4 -1.2 0
|
||||
1.2 -0.9 0
|
||||
1.6 0.1 0
|
||||
2.5 0.5 0
|
||||
4.1 0.7 0
|
||||
5.7 1.8 0
|
||||
5.1 3.4 0
|
||||
2.5 4.4 0
|
||||
1.2 3.7 0
|
||||
-1.2 3.9 0
|
||||
-3.2 5.1 0
|
||||
-4.3 2.9 0
|
||||
-3.1 0.7 0
|
||||
-1.3 0.6 0
|
||||
-2.1 2.9 0
|
||||
0.6 1.2 0
|
||||
0.1 2.4 0
|
||||
2.4 2.8 0
|
||||
3.5 1.8 0
|
||||
3.6 3.1 0
|
||||
3 1 2 3
|
||||
3 3 2 4
|
||||
3 4 2 5
|
||||
3 9 8 10
|
||||
3 10 8 11
|
||||
3 13 0 14
|
||||
3 10 11 15
|
||||
3 11 12 15
|
||||
3 12 13 15
|
||||
3 13 14 15
|
||||
3 0 1 16
|
||||
3 1 3 16
|
||||
3 3 4 16
|
||||
3 14 0 16
|
||||
3 9 10 17
|
||||
3 10 15 17
|
||||
3 15 14 17
|
||||
3 14 16 17
|
||||
3 8 9 18
|
||||
3 16 4 18
|
||||
3 9 17 18
|
||||
3 17 16 18
|
||||
3 5 6 19
|
||||
3 6 7 19
|
||||
3 4 5 19
|
||||
3 18 4 19
|
||||
3 7 8 20
|
||||
3 8 18 20
|
||||
3 18 19 20
|
||||
3 19 7 20
|
||||
|
||||
Reference in New Issue
Block a user