diff --git a/README.md b/README.md
index e69de29..9a58c43 100644
--- a/README.md
+++ b/README.md
@@ -0,0 +1,30 @@
+### Generation of a Triangular Irregular Network (TIN) from a dense DEM grid
+
+
+
+#### Compile
+
+```shell
+g++ demo.cpp
+```
+
+#### Run demo
+
+```shell
+./a.out
+```
+
+#### Visualization
+
+##### macOS
+
+```shell
+open -a Gmsh topo_TIN.msh
+```
+
+##### Linux/Unix
+
+```shell
+gmsh topo_TIN.msh
+```
+
diff --git a/demo.cpp b/demo.cpp
index b8418f1..f52580f 100644
--- a/demo.cpp
+++ b/demo.cpp
@@ -17,7 +17,7 @@ int main(int argc, char const *argv[])
std::vector tin_vert;
std::vector tin_ele;
- dem2tin(topo, 0, 1000, 0, 1000, 10, 10, tin_vert, tin_ele, 3.0);
+ dem2tin(topo, 0, 1000, 0, 1000, 10, 10, tin_vert, tin_ele, 1.0);
// Write a Gmsh's .msh file
std::ofstream outfile("topo_TIN.msh");
diff --git a/tin.h b/tin.h
index a0c97d7..49037a9 100644
--- a/tin.h
+++ b/tin.h
@@ -145,8 +145,46 @@ void dem2tin(const std::vector &dem, double xmin, double xmax, double ym
if (dem.size() != xnum*ynum) return;
- vertex2dc *tmp_vert = nullptr;
+ double midx = 0.5*(xmin + xmax);
+ double midy = 0.5*(ymin + ymax);
+ 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 assit_vert, corner_vert;
+
+ tmp_vert = new vertex2dc(midx - maxi_s, midy - maxi_s, 0.0); // lower left corner
+ assit_vert.push_back(tmp_vert);
+
+ tmp_vert = new vertex2dc(midx + maxi_s, midy - maxi_s, 0.0); // lower right corner
+ assit_vert.push_back(tmp_vert);
+
+ tmp_vert = new vertex2dc(midx + maxi_s, midy + maxi_s, 0.0); // upper right corner
+ assit_vert.push_back(tmp_vert);
+
+ tmp_vert = new vertex2dc(midx - maxi_s, midy + maxi_s, 0.0); // upper left corner
+ assit_vert.push_back(tmp_vert);
+
+ triangle *tmp_tri = nullptr;
+ std::vector cnst_tri;
+ std::vector::iterator t_iter;
+
+ tmp_tri = new triangle(assit_vert[0], assit_vert[1], assit_vert[2]); // order the vertex anti-clock wise
+ out_tris.push_back(tmp_tri);
+
+ tmp_tri = new triangle(assit_vert[0], assit_vert[2], assit_vert[3]); // order the vertex anti-clock wise
+ out_tris.push_back(tmp_tri);
+
+ int now_maxi_id;
+ double now_x, now_y, now_err;
+ double now_maxi_err;
+
+ bool removed;
+ double dist;
+ edge tmp_edge;
+ std::vector cnst_edge;
+ std::vector::iterator e_iter;
+
+ // We first add the four corner points of the DEM to the TIN
tmp_vert = new vertex2dc(xmin, ymin, dem[0], out_verts.size()); // lower left corner
out_verts.push_back(tmp_vert);
@@ -159,25 +197,65 @@ void dem2tin(const std::vector &dem, double xmin, double xmax, double ym
tmp_vert = new vertex2dc(xmin, ymax, dem[xnum*(ynum-1)], out_verts.size()); // upper left corner
out_verts.push_back(tmp_vert);
- triangle *tmp_tri = nullptr;
- std::vector cnst_tri;
- std::vector::iterator t_iter;
+ for (int i = 0; i < 4; ++i)
+ {
+ // determine triangles that include the point and add the triangle to the cnst_tri and remove the triangle from out_tris
+ // this is also a 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();
+ for (t_iter = out_tris.begin(); t_iter != out_tris.end(); )
+ {
+ tmp_tri = *t_iter;
+ dist = (tmp_tri->cx - out_verts[i]->x) * (tmp_tri->cx - out_verts[i]->x)
+ + (tmp_tri->cy - out_verts[i]->y) * (tmp_tri->cy - out_verts[i]->y);
+ if ((dist - tmp_tri->cr) <= ZERO) // Points on the circumcircle are also included
+ {
+ t_iter = out_tris.erase(t_iter);
+ cnst_tri.push_back(tmp_tri);
+ }
+ else t_iter++;
+ }
- tmp_tri = new triangle(out_verts[0], out_verts[1], out_verts[2]); // order the vertex anti-clock wise
- out_tris.push_back(tmp_tri);
+ // loop to remove duplicate edges
+ cnst_edge.clear();
+ for (int c = 0; c < cnst_tri.size(); ++c)
+ {
+ for (int e = 0; e < 3; ++e)
+ {
+ tmp_edge.set(cnst_tri[c]->vert[e], cnst_tri[c]->vert[(e+1)%3]);
- tmp_tri = new triangle(out_verts[0], out_verts[2], out_verts[3]); // order the vertex anti-clock wise
- out_tris.push_back(tmp_tri);
+ removed = false;
+ for (e_iter = cnst_edge.begin(); e_iter != cnst_edge.end(); )
+ {
+ if (tmp_edge == *e_iter) // duplicate edge, remove from cnst_edge
+ {
+ e_iter = cnst_edge.erase(e_iter);
+ removed = true;
+ break; // no need to search more
+ }
+ else e_iter++;
+ }
- int now_maxi_id;
- double now_x, now_y, now_err;
- double now_maxi_err;
+ if (!removed) // not a duplicate edge, add to the cnst_edge
+ {
+ cnst_edge.push_back(tmp_edge);
+ }
+ }
+ }
- bool removed;
- double dist;
- edge tmp_edge;
- std::vector cnst_edge;
- std::vector::iterator e_iter;
+ // construct new triangles and add to out_tris
+ for (int c = 0; c < cnst_edge.size(); ++c)
+ {
+ tmp_tri = new triangle(cnst_edge[c].vert[0], cnst_edge[c].vert[1], out_verts[i]); // order the vertex anti-clock wise
+ out_tris.push_back(tmp_tri);
+ }
+
+ // destroy memories used by cnst_edge
+ for (int c = 0; c < cnst_tri.size(); ++c)
+ {
+ tmp_tri = cnst_tri[c];
+ delete tmp_tri; tmp_tri = nullptr;
+ }
+ }
do // quit til the threshold is meet
{
@@ -266,6 +344,26 @@ void dem2tin(const std::vector &dem, double xmin, double xmax, double ym
}
} while (now_maxi_err >= maxi_err);
+ // remove any triangles has an assistant vertex from out_tris
+ for (t_iter = out_tris.begin(); t_iter != out_tris.end(); )
+ {
+ tmp_tri = *t_iter;
+ if (tmp_tri->vert[0] == assit_vert[0] || tmp_tri->vert[0] == assit_vert[1] || tmp_tri->vert[0] == assit_vert[2] || tmp_tri->vert[0] == assit_vert[3] ||
+ tmp_tri->vert[1] == assit_vert[0] || tmp_tri->vert[1] == assit_vert[1] || tmp_tri->vert[1] == assit_vert[2] || tmp_tri->vert[1] == assit_vert[3] ||
+ tmp_tri->vert[2] == assit_vert[0] || tmp_tri->vert[2] == assit_vert[1] || tmp_tri->vert[2] == assit_vert[2] || tmp_tri->vert[2] == assit_vert[3])
+ {
+ // destroy the memories located and remove from the vector
+ t_iter = out_tris.erase(t_iter);
+ delete tmp_tri; tmp_tri = nullptr;
+ }
+ else t_iter++;
+ }
+
+ // destroy memories located for assit_vert
+ for (int i = 0; i < 4; ++i)
+ {
+ delete assit_vert[i]; assit_vert[i] = nullptr;
+ }
return;
}
diff --git a/topo_TIN.msh b/topo_TIN.msh
deleted file mode 100644
index d7d485f..0000000
--- a/topo_TIN.msh
+++ /dev/null
@@ -1,2917 +0,0 @@
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