diff --git a/README.md b/README.md index 9a58c43..f369b18 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,6 @@ ### Generation of a Triangular Irregular Network (TIN) from a dense DEM grid -topo_TIN_err1e0 +topo_TIN #### Compile diff --git a/tin.h b/tin.h index 49037a9..ed0dfef 100644 --- a/tin.h +++ b/tin.h @@ -12,8 +12,6 @@ #include "cmath" #include "vector" -#include "iostream" - #define ZERO 1e-5 // Start vertex definition @@ -40,6 +38,16 @@ bool operator ==(const vertex2dc &a, const vertex2dc &b) // overload the == oper } return false; } + +bool is_collinear(vertex2dc *a_ptr, vertex2dc *b_ptr, vertex2dc *c_ptr) // Test if the three points are on the same line +{ + // ｜(y3−y1)(x2−x1)−(y2−y1)(x3−x1)｜ + if (fabs((c_ptr->y - a_ptr->y)*(b_ptr->x - a_ptr->x) - (b_ptr->y - a_ptr->y)*(c_ptr->x - a_ptr->x)) <= ZERO) + { + return true; + } + return false; +} // End vertex definition // Start edge definition @@ -90,7 +98,7 @@ struct triangle return; } - bool bound_location(double inx, double iny) + bool bound_location(double inx, double iny) // Test if the location is inside the triangle { double l1x, l1y, l2x, l2y; for (int i = 0; i < 3; i++) @@ -108,7 +116,7 @@ struct triangle return true; } - double interpolate(double inx, double iny) + double interpolate(double inx, double iny) // Interpolate the elevation of the given location inside the triangle { double a1 = 0.5 * ((vert[1]->x - inx)*(vert[2]->y - iny) - (vert[1]->y - iny)*(vert[2]->x - inx)); double a2 = 0.5 * ((vert[2]->x - inx)*(vert[0]->y - iny) - (vert[2]->y - iny)*(vert[0]->x - inx)); @@ -138,6 +146,7 @@ void dem2tin(const std::vector &dem, double xmin, double xmax, double ym if (!out_verts.empty()) out_verts.clear(); if (!out_tris.empty()) out_tris.clear(); + if (dx <= 0.0 || dy <= 0.0 || maxi_err <= 0.0) return; if (xmin >= xmax || ymin >= ymax || (xmin + dx) > xmax || (ymin + dy) > ymax) return; int xnum = round((xmax - xmin)/dx) + 1; @@ -145,46 +154,8 @@ void dem2tin(const std::vector &dem, double xmin, double xmax, double ym if (dem.size() != xnum*ynum) return; - 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); @@ -197,66 +168,32 @@ 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); - for (int i = 0; i < 4; ++i) + triangle *tmp_tri = nullptr; + std::vector cnst_tri; + std::vector::iterator t_iter; + + if (!is_collinear(out_verts[0], out_verts[1], out_verts[2])) // Do not create triangle if the vertexes are collinear { - // 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++; - } - - // 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]); - - 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++; - } - - if (!removed) // not a duplicate edge, add to the cnst_edge - { - cnst_edge.push_back(tmp_edge); - } - } - } - - // 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; - } + 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); } + if (!is_collinear(out_verts[0], out_verts[2], out_verts[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); + } + + 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; + do // quit til the threshold is meet { // loop all DEM data to find the location with maximal error @@ -287,8 +224,8 @@ void dem2tin(const std::vector &dem, double xmin, double xmax, double ym tmp_vert = new vertex2dc(now_x, now_y, dem[now_maxi_id], out_verts.size()); out_verts.push_back(tmp_vert); - // 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 + // determine triangles that include the point and add the triangle to the cnst_tri and remove it 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 it later cnst_tri.clear(); for (t_iter = out_tris.begin(); t_iter != out_tris.end(); ) { @@ -332,8 +269,11 @@ void dem2tin(const std::vector &dem, double xmin, double xmax, double ym // 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.back()); // order the vertex anti-clock wise - out_tris.push_back(tmp_tri); + if (!is_collinear(cnst_edge[c].vert[0], cnst_edge[c].vert[1], tmp_vert)) // Do not create triangle if the vertexes are collinear + { + tmp_tri = new triangle(cnst_edge[c].vert[0], cnst_edge[c].vert[1], tmp_vert); // order the vertex anti-clock wise + out_tris.push_back(tmp_tri); + } } // destroy memories used by cnst_edge @@ -344,26 +284,6 @@ 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 new file mode 100644 index 0000000..055c909 --- /dev/null +++ b/topo_TIN.msh @@ -0,0 +1,9348 @@ +$MeshFormat +2.2 0 8 +$EndMeshFormat +$Nodes +2346 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