From 1e688d34f0ca99aafd631fa7f1af74534b986132 Mon Sep 17 00:00:00 2001 From: Yi Zhang Date: Thu, 16 Sep 2021 09:28:49 +0800 Subject: [PATCH] update readme --- README.md | 30 + demo.cpp | 2 +- tin.h | 130 +- topo_TIN.msh | 2917 -------------- topo_TIN_err1e0.msh | 9308 +++++++++++++++++++++++++++++++++++++++++++ topo_TIN_err1e0.png | Bin 0 -> 626554 bytes 6 files changed, 9453 insertions(+), 2934 deletions(-) delete mode 100644 topo_TIN.msh create mode 100644 topo_TIN_err1e0.msh create mode 100644 topo_TIN_err1e0.png 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 + +topo_TIN_err1e0 + +#### 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; } 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