From 10bb022a07edcc1c39865902cc1f5f444818a93d Mon Sep 17 00:00:00 2001 From: Yi Zhang Date: Fri, 15 Oct 2021 16:53:12 +0800 Subject: [PATCH] tmp update --- data/topo_TIN.log | 8 +- data/topo_TIN.msh | 76 +- data/topo_TIN.neigh | 84 +- data/topo_TIN2.log | 2249 ++++++++++ data/topo_TIN2.msh | 8718 ++++++++++++++++++++++++++++++++++++++ data/topo_TIN2.neigh | 4198 ++++++++++++++++++ data/topo_rnd | 8000 ++++++++++++++++++++++++++++++++++ data/topo_rnd_TIN.log | 1439 +++++++ data/topo_rnd_TIN.msh | 5749 +++++++++++++++++++++++++ data/topo_rnd_TIN.neigh | 2857 +++++++++++++ data/topo_rnd_TIN2.log | 1439 +++++++ data/topo_rnd_TIN2.msh | 5704 +++++++++++++++++++++++++ data/topo_rnd_TIN2.neigh | 2812 ++++++++++++ src/CMakeLists.txt | 3 + src/demo/demo.cpp | 2 +- src/demo/demo2.cpp | 94 + src/demo/demo3.cpp | 105 + src/demo/demo4.cpp | 105 + src/lib/tin.cpp | 521 ++- src/lib/tin.h | 27 +- 20 files changed, 44068 insertions(+), 122 deletions(-) create mode 100644 data/topo_TIN2.log create mode 100644 data/topo_TIN2.msh create mode 100644 data/topo_TIN2.neigh create mode 100644 data/topo_rnd create mode 100644 data/topo_rnd_TIN.log create mode 100644 data/topo_rnd_TIN.msh create mode 100644 data/topo_rnd_TIN.neigh create mode 100644 data/topo_rnd_TIN2.log create mode 100644 data/topo_rnd_TIN2.msh create mode 100644 data/topo_rnd_TIN2.neigh create mode 100644 src/demo/demo2.cpp create mode 100644 src/demo/demo3.cpp create mode 100644 src/demo/demo4.cpp diff --git a/data/topo_TIN.log b/data/topo_TIN.log index 485bceb..83494e8 100644 --- a/data/topo_TIN.log +++ b/data/topo_TIN.log @@ -1975,8 +1975,8 @@ 1974 1.4206 1975 1.1363 1976 1.136 -1977 1.136 -1978 1.4285 +1977 1.4285 +1978 1.136 1979 1.1355 1980 1.1352 1981 1.69885 @@ -2075,8 +2075,8 @@ 2074 1.49957 2075 1.07982 2076 1.0787 -2077 1.29195 -2078 1.0787 +2077 1.0787 +2078 1.29195 2079 1.07857 2080 1.72454 2081 1.0785 diff --git a/data/topo_TIN.msh b/data/topo_TIN.msh index 8250854..49790c2 100644 --- a/data/topo_TIN.msh +++ b/data/topo_TIN.msh @@ -1982,9 +1982,9 @@ $Nodes 1977 350 750 84.5986 1978 330 750 89.6465 1979 240 570 45.0428 -1980 700 420 115.744 -1981 520 470 168.821 -1982 510 470 168.277 +1980 520 470 168.821 +1981 510 470 168.277 +1982 700 420 115.744 1983 260 800 53.4204 1984 910 280 26.9883 1985 900 260 26.7625 @@ -2082,9 +2082,9 @@ $Nodes 2077 620 20 12.1613 2078 600 40 16.9786 2079 890 80 19.6648 -2080 880 300 34.2451 -2081 900 300 29.6101 -2082 480 760 36.4966 +2080 480 760 36.4966 +2081 880 300 34.2451 +2082 900 300 29.6101 2083 690 240 61.8001 2084 700 220 52.8594 2085 730 620 29.0292 @@ -2532,7 +2532,7 @@ $Elements 273 2 0 412 513 1200 274 2 0 413 513 412 275 2 0 561 514 75 -276 2 0 47 1982 528 +276 2 0 47 1981 528 277 2 0 220 753 515 278 2 0 410 810 260 279 2 0 748 516 148 @@ -2801,7 +2801,7 @@ $Elements 542 2 0 700 701 55 543 2 0 1084 314 1197 544 2 0 231 703 493 -545 2 0 1980 704 1040 +545 2 0 1982 704 1040 546 2 0 243 704 284 547 2 0 596 425 705 548 2 0 636 52 706 @@ -3650,7 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b/src/CMakeLists.txt index 14b584d..7082198 100644 --- a/src/CMakeLists.txt +++ b/src/CMakeLists.txt @@ -66,3 +66,6 @@ macro(add_demo name) endmacro() add_demo(demo) +add_demo(demo2) +add_demo(demo3) +add_demo(demo4) diff --git a/src/demo/demo.cpp b/src/demo/demo.cpp index 5619ae9..474eb00 100644 --- a/src/demo/demo.cpp +++ b/src/demo/demo.cpp @@ -17,7 +17,7 @@ int main(int argc, char const *argv[]) std::vector err_records; std::vector tin_vert; std::vector tin_ele; - dem2tin(topo, 0, 1000, 0, 1000, 10, 10, tin_vert, tin_ele, 1.0, &err_records); + dem2tin(topo, 0, 1000, 0, 1000, 10, 10, tin_vert, tin_ele, 1.0, nullptr, &err_records); // Write a log file std::ofstream logfile("data/topo_TIN.log"); diff --git a/src/demo/demo2.cpp b/src/demo/demo2.cpp new file mode 100644 index 0000000..8c2f111 --- /dev/null +++ b/src/demo/demo2.cpp @@ -0,0 +1,94 @@ +#include "../lib/tin.h" +#include "iostream" +#include "fstream" +#include "iomanip" + +int main(int argc, char const *argv[]) +{ + // read dem grid + std::vector topo(8000); + std::ifstream infile("data/topo_rnd"); + for (int i = 0; i < 8000; ++i) + { + infile >> topo[i].x >> topo[i].y >> topo[i].elev; + } + infile.close(); + + std::vector err_records; + std::vector tin_vert; + std::vector tin_ele; + rnd2tin(topo, tin_vert, tin_ele, 1.0, nullptr, &err_records); + + // Write a log file + std::ofstream logfile("data/topo_rnd_TIN.log"); + logfile << "# Insertion Maxi-Error\n"; + for (int i = 0; i < err_records.size(); ++i) + { + logfile << i+1 << " " << err_records[i] << std::endl; + } + logfile.close(); + + // Write a Gmsh's .msh file + std::ofstream outfile("data/topo_rnd_TIN.msh"); + outfile << "$MeshFormat" << std::endl << "2.2 0 8" << std::endl << "$EndMeshFormat "<id + 1 << " " << std::setprecision(16) + << tin_vert[i]->x << " " << tin_vert[i]->y << " " << tin_vert[i]->elev << std::endl; + } + outfile<<"$EndNodes"<vert[j]->id + 1; + } + outfile << std::endl; + } + outfile << "$EndElements"<< std::endl; + outfile<<"$NodeData"<id + 1 << " " << std::setprecision(16) << tin_vert[i]->elev << std::endl; + } + outfile << "$EndNodeData" << std::endl; + outfile.close(); + + // write a neighbor file + outfile.open("data/topo_rnd_TIN.neigh"); + outfile << tin_ele.size() << std::endl; + for (int i = 0; i < tin_ele.size(); i++) + { + outfile << i + 1; + for (int j = 0; j < 3; j++) + { + if (tin_ele[i]->neigh[j] != nullptr) + { + outfile << " " << tin_ele[i]->neigh[j]->id + 1; + } + else outfile << " -1"; + } + outfile << std::endl; + } + outfile.close(); + + // Destroy memories allocated by the dem2tin function + for (int i = 0; i < tin_vert.size(); ++i) + { + delete tin_vert[i]; + } + + for (int i = 0; i < tin_ele.size(); ++i) + { + delete tin_ele[i]; + } + return 0; +} \ No newline at end of file diff --git a/src/demo/demo3.cpp b/src/demo/demo3.cpp new file mode 100644 index 0000000..d1bb9d9 --- /dev/null +++ b/src/demo/demo3.cpp @@ -0,0 +1,105 @@ +#include "../lib/tin.h" +#include "iostream" +#include "fstream" +#include "iomanip" + +int main(int argc, char const *argv[]) +{ + // read dem grid + std::vector topo(10201); + std::ifstream infile("data/topo"); + for (int i = 0; i < 10201; ++i) + { + infile >> topo[i]; + } + infile.close(); + + // Set outline polygon + std::vector valid_area(8); + valid_area[0].set(0, 500, 0, 0); + valid_area[1].set(58, 365, 0, 1); + valid_area[2].set(314, 158, 0, 2); + valid_area[3].set(681, 22, 0, 3); + valid_area[4].set(942, 105, 0, 4); + valid_area[5].set(1000, 360, 0, 5); + valid_area[6].set(1000, 1000, 0, 6); + valid_area[7].set(0, 1000, 0, 7); + + std::vector err_records; + std::vector tin_vert; + std::vector tin_ele; + dem2tin(topo, 0, 1000, 0, 1000, 10, 10, tin_vert, tin_ele, 1.0, &valid_area, &err_records); + + // Write a log file + std::ofstream logfile("data/topo_TIN2.log"); + logfile << "# Insertion Maxi-Error\n"; + for (int i = 0; i < err_records.size(); ++i) + { + logfile << i+1 << " " << err_records[i] << std::endl; + } + logfile.close(); + + // Write a Gmsh's .msh file + std::ofstream outfile("data/topo_TIN2.msh"); + outfile << "$MeshFormat" << std::endl << "2.2 0 8" << std::endl << "$EndMeshFormat "<id + 1 << " " << std::setprecision(16) + << tin_vert[i]->x << " " << tin_vert[i]->y << " " << tin_vert[i]->elev << std::endl; + } + outfile<<"$EndNodes"<vert[j]->id + 1; + } + outfile << std::endl; + } + outfile << "$EndElements"<< std::endl; + outfile<<"$NodeData"<id + 1 << " " << std::setprecision(16) << tin_vert[i]->elev << std::endl; + } + outfile << "$EndNodeData" << std::endl; + outfile.close(); + + // write a neighbor file + outfile.open("data/topo_TIN2.neigh"); + outfile << tin_ele.size() << std::endl; + for (int i = 0; i < tin_ele.size(); i++) + { + outfile << i + 1; + for (int j = 0; j < 3; j++) + { + if (tin_ele[i]->neigh[j] != nullptr) + { + outfile << " " << tin_ele[i]->neigh[j]->id + 1; + } + else outfile << " -1"; + } + outfile << std::endl; + } + outfile.close(); + + // Destroy memories allocated by the dem2tin function + for (int i = 0; i < tin_vert.size(); ++i) + { + delete tin_vert[i]; + } + + for (int i = 0; i < tin_ele.size(); ++i) + { + delete tin_ele[i]; + } + return 0; +} \ No newline at end of file diff --git a/src/demo/demo4.cpp b/src/demo/demo4.cpp new file mode 100644 index 0000000..28e4cf3 --- /dev/null +++ b/src/demo/demo4.cpp @@ -0,0 +1,105 @@ +#include "../lib/tin.h" +#include "iostream" +#include "fstream" +#include "iomanip" + +int main(int argc, char const *argv[]) +{ + // read dem grid + std::vector topo(8000); + std::ifstream infile("data/topo_rnd"); + for (int i = 0; i < 8000; ++i) + { + infile >> topo[i].x >> topo[i].y >> topo[i].elev; + } + infile.close(); + + // Set outline polygon + std::vector valid_area(8); + valid_area[0].set(0, 500, 0, 0); + valid_area[1].set(58, 365, 0, 1); + valid_area[2].set(314, 158, 0, 2); + valid_area[3].set(681, 22, 0, 3); + valid_area[4].set(942, 105, 0, 4); + valid_area[5].set(1000, 360, 0, 5); + valid_area[6].set(1000, 1000, 0, 6); + valid_area[7].set(0, 1000, 0, 7); + + std::vector err_records; + std::vector tin_vert; + std::vector tin_ele; + rnd2tin(topo, tin_vert, tin_ele, 1.0, &valid_area, &err_records); + + // Write a log file + std::ofstream logfile("data/topo_rnd_TIN2.log"); + logfile << "# Insertion Maxi-Error\n"; + for (int i = 0; i < err_records.size(); ++i) + { + logfile << i+1 << " " << err_records[i] << std::endl; + } + logfile.close(); + + // Write a Gmsh's .msh file + std::ofstream outfile("data/topo_rnd_TIN2.msh"); + outfile << "$MeshFormat" << std::endl << "2.2 0 8" << std::endl << "$EndMeshFormat "<id + 1 << " " << std::setprecision(16) + << tin_vert[i]->x << " " << tin_vert[i]->y << " " << tin_vert[i]->elev << std::endl; + } + outfile<<"$EndNodes"<vert[j]->id + 1; + } + outfile << std::endl; + } + outfile << "$EndElements"<< std::endl; + outfile<<"$NodeData"<id + 1 << " " << std::setprecision(16) << tin_vert[i]->elev << std::endl; + } + outfile << "$EndNodeData" << std::endl; + outfile.close(); + + // write a neighbor file + outfile.open("data/topo_rnd_TIN2.neigh"); + outfile << tin_ele.size() << std::endl; + for (int i = 0; i < tin_ele.size(); i++) + { + outfile << i + 1; + for (int j = 0; j < 3; j++) + { + if (tin_ele[i]->neigh[j] != nullptr) + { + outfile << " " << tin_ele[i]->neigh[j]->id + 1; + } + else outfile << " -1"; + } + outfile << std::endl; + } + outfile.close(); + + // Destroy memories allocated by the dem2tin function + for (int i = 0; i < tin_vert.size(); ++i) + { + delete tin_vert[i]; + } + + for (int i = 0; i < tin_ele.size(); ++i) + { + delete tin_ele[i]; + } + return 0; +} \ No newline at end of file diff --git a/src/lib/tin.cpp b/src/lib/tin.cpp index 54034a3..0d504f1 100644 --- a/src/lib/tin.cpp +++ b/src/lib/tin.cpp @@ -156,7 +156,7 @@ double triangle::interpolate(double inx, double iny) * / \ * / \ * / t \ - * t_id-------\ t_id (0, 1 or 2) + * t_id-------\ t_id+1 (0, 1 or 2) * \--------/ * \ / * \ n / @@ -294,7 +294,9 @@ void make_delaunay(triangle *t) dist = (t->cx - n_vert->x) * (t->cx - n_vert->x) + (t->cy - n_vert->y) * (t->cy - n_vert->y); - if ((dist - t->cr) < -1.0*ZERO) // A very restrict condition. The testing point must be really inside the circumcircle + // We have to use a very restrict condition here. The testing point must be really inside the circumcircle. + // Otherwise, this recursive function may fall into endless callings till the segment fails. + if ((dist - t->cr) < -1.0*ZERO) { flip_neighboring_triangles(t, n_tri, n, v); @@ -429,6 +431,74 @@ triangle *split_triangle(vertex2dc *v, triangle *t, triangle *new_t[4]) } // End triangle definition + +/** + * @brief Test if the input triangle is inside of the given polygon + * + * @param tri_p Pointer of a test triangle + * @param poly_vert Vertexes of a polygon + * @return true The test triangle is inside of the polygon + * @return false The test triangle is outside of the polygon + */ +bool triangle_inside_polygon(triangle *tri_p, std::vector *poly_vert) +{ + // If any vertexes of the input triangle is outside of the polygon, return false. Otherwise, return true + if (poly_vert->size() < 3) + { + return false; + } + else + { + int pnum = poly_vert->size(); + //确定外接矩形 + double xmin = poly_vert->at(0).x, ymin = poly_vert->at(0).y; + double xmax = poly_vert->at(0).x, ymax = poly_vert->at(0).y; + for (int j = 0; j < pnum; ++j) + { + xmin = std::min(xmin, poly_vert->at(j).x); + xmax = std::max(xmax, poly_vert->at(j).x); + ymin = std::min(ymin, poly_vert->at(j).y); + ymax = std::max(ymax, poly_vert->at(j).y); + } + + int count; + double tmp_x; + vertex2dc *one_p; + for (int t = 0; t < 3; ++t) + { + one_p = tri_p->vert[t]; + // the testing point is outside of the surrounding box, return false + if (one_p->x < xmin || one_p->x > xmax || one_p->y < ymin || one_p->y > ymax) + { + return false; + } + else + { + count = 0; + for (int i = 0; i < pnum; ++i) + { + if ((one_p->y >= poly_vert->at(i).y && one_p->y < poly_vert->at((i+1)%pnum).y) || + (one_p->y <= poly_vert->at(i).y && one_p->y > poly_vert->at((i+1)%pnum).y)) + { + tmp_x = (poly_vert->at((i+1)%pnum).x - poly_vert->at(i).x) + * (one_p->y - poly_vert->at(i).y)/(poly_vert->at((i+1)%pnum).y - poly_vert->at(i).y) + + poly_vert->at(i).x; + + if (one_p->x <= tmp_x) + count++; + } + } + + if (pow(-1, count) > 0) return false; + } + } + + // all vertexes are inside the polygon + return true; + } +} + + /** * @brief Generate the TIN from the DEM grid * @@ -445,7 +515,8 @@ triangle *split_triangle(vertex2dc *v, triangle *t, triangle *new_t[4]) * @param[in] err_records If this pointer is not NULL, record maximal error values after each insertion of vertex. */ void dem2tin(const std::vector &dem, double xmin, double xmax, double ymin, double ymax, double dx, - double dy, std::vector &out_verts, std::vector &out_tris, double maxi_err, std::vector *err_records) + double dy, std::vector &out_verts, std::vector &out_tris, double maxi_err, + std::vector *outline_poly, std::vector *err_records) { if (!out_verts.empty()) out_verts.clear(); if (!out_tris.empty()) out_tris.clear(); @@ -461,7 +532,7 @@ void dem2tin(const std::vector &dem, double xmin, double xmax, double ym // Prepare the DEM points dem_point *tmp_dem = nullptr; - std::vector dem_tri; + dem_point *maxi_err_dem = nullptr; std::vector::iterator d_iter; vertex2dc *tmp_vert = nullptr; @@ -522,28 +593,30 @@ void dem2tin(const std::vector &dem, double xmin, double xmax, double ym } } - // Sort hosted_dem in the desceding order with respect to the error. Add maximal zeros to dem_tri + // Sort hosted_dem in the desceding order with respect to the error. Get pointer of the dem_point with maximal error + double maxi_err_tmp = -1.0; for (int t = 0; t < out_tris.size(); ++t) { std::sort(out_tris[t]->hosted_dem.begin(), out_tris[t]->hosted_dem.end(), compare_dem_point); - dem_tri.push_back(out_tris[t]->hosted_dem[0]); + if (out_tris[t]->hosted_dem[0]->err > maxi_err_tmp) + { + maxi_err_tmp = out_tris[t]->hosted_dem[0]->err; + maxi_err_dem = out_tris[t]->hosted_dem[0]; + } } - // Sort dem_tri - std::sort(dem_tri.begin(), dem_tri.end(), compare_dem_point); - - while (dem_tri[0]->err >= maxi_err) // quit til the threshold is meet + while (maxi_err_dem->err >= maxi_err) // quit til the threshold is meet { if (err_records != nullptr) { - err_records->push_back(dem_tri[0]->err); + err_records->push_back(maxi_err_dem->err); } - // find the triangle that includes dem_tri[0] and remove it from out_tris + // find the triangle that includes maxi_err_dem and remove it from out_tris for (t_iter = out_tris.begin(); t_iter != out_tris.end(); ) { old_tri = *t_iter; - if (old_tri == dem_tri[0]->host) + if (old_tri == maxi_err_dem->host) { t_iter = out_tris.erase(t_iter); break; @@ -551,10 +624,10 @@ void dem2tin(const std::vector &dem, double xmin, double xmax, double ym else t_iter++; } - // remove dem_tri[0] from its host triangle's hosted DEM list + // remove maxi_err_dem from its host triangle's hosted DEM list for (d_iter = old_tri->hosted_dem.begin(); d_iter != old_tri->hosted_dem.end(); ) { - if (dem_tri[0] == *d_iter) + if (maxi_err_dem == *d_iter) { d_iter = old_tri->hosted_dem.erase(d_iter); break; @@ -563,11 +636,11 @@ void dem2tin(const std::vector &dem, double xmin, double xmax, double ym } // create a new vertex - tmp_vert = new vertex2dc(dem_tri[0]->x, dem_tri[0]->y, dem_tri[0]->elev, out_verts.size()); + tmp_vert = new vertex2dc(maxi_err_dem->x, maxi_err_dem->y, maxi_err_dem->elev, out_verts.size()); out_verts.push_back(tmp_vert); - // Delete dem_tri[0] - tmp_dem = dem_tri[0]; delete tmp_dem; + // Delete maxi_err_dem + delete maxi_err_dem; maxi_err_dem = nullptr; // build new triangles tmp_tri = split_triangle(tmp_vert, old_tri, cnst_tri); @@ -677,22 +750,52 @@ void dem2tin(const std::vector &dem, double xmin, double xmax, double ym } } - // get maximal errors from out_tris and sort dem_tri - dem_tri.clear(); dem_tri.reserve(out_tris.size()); + // get maximal errors from out_tris + maxi_err_tmp = -1.0; for (int t = 0; t < out_tris.size(); t++) { - if (!out_tris[t]->hosted_dem.empty()) + if (!out_tris[t]->hosted_dem.empty() && out_tris[t]->hosted_dem[0]->err > maxi_err_tmp) { - dem_tri.push_back(out_tris[t]->hosted_dem[0]); + maxi_err_tmp = out_tris[t]->hosted_dem[0]->err; + maxi_err_dem = out_tris[t]->hosted_dem[0]; } } - - std::sort(dem_tri.begin(), dem_tri.end(), compare_dem_point); } if (err_records != nullptr) { - err_records->push_back(dem_tri[0]->err); + err_records->push_back(maxi_err_dem->err); + } + + // Cut outline if there is one + if (outline_poly != nullptr) + { + for (t_iter = out_tris.begin(); t_iter != out_tris.end(); ) + { + tmp_tri = *t_iter; + if (!triangle_inside_polygon(tmp_tri, outline_poly)) + { + // set neighbors + for (int i = 0; i < 3; ++i) + { + if (tmp_tri->neigh[i] != nullptr) + { + for (int j = 0; j < 3; ++j) + { + if (tmp_tri->neigh[i]->neigh[j] == tmp_tri) + { + tmp_tri->neigh[i]->neigh[j] = nullptr; + break; + } + } + } + } + // 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++; + } } // assign triangles index @@ -709,18 +812,378 @@ void dem2tin(const std::vector &dem, double xmin, double xmax, double ym return; } + /** * @brief Generate the TIN from random DEM points * - * @param dem Input DEM points - * @param out_verts The output vector of vertex's pointers. The user need to destroy the memories allocated by the function before destroy the vector + * @param dem Input DEM points + * @param out_verts The output vector of vertex's pointers. The user need to destroy the memories allocated by the function before destroy the vector * @param out_tris The output vector of triangle's pointers. The user need to destroy the memories allocated by the function before destroy the vector * @param[in] maxi_err Threshold to quit the algorithm. The default is 1e-0 - * @param[in] outline_poly If this pointer is not NULL, Cut triangle outside the polygon. + * @param[in] outline_poly If this pointer is not NULL, Cut triangle outside of or intersected with the polygon. * @param[in] err_records If this pointer is not NULL, record maximal error values after each insertion of vertex. */ void rnd2tin(const std::vector &dem, std::vector &out_verts, std::vector &out_tris, - double maxi_err, std::vector *outline_poly, std::vector *err_records) + double maxi_err, std::vector *outline_poly, std::vector *err_records) { + if (dem.size() < 3) return; + if (maxi_err <= 0.0) return; + + if (!out_verts.empty()) out_verts.clear(); + if (!out_tris.empty()) out_tris.clear(); + if (err_records != nullptr && !err_records->empty()) err_records->clear(); + + // locate the surrounding box and initiate the staring two triangles + double xmin = dem[0].x, xmax = dem[0].x; + double ymin = dem[0].y, ymax = dem[0].y; + for (int i = 0; i < dem.size(); ++i) + { + xmin = std::min(xmin, dem[i].x); + xmax = std::max(xmax, dem[i].x); + ymin = std::min(ymin, dem[i].y); + ymax = std::max(ymax, dem[i].y); + } + + 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 box_vert; + + tmp_vert = new vertex2dc(midx - maxi_s, midy - maxi_s, 0.0, 0); // lower left corner + box_vert.push_back(tmp_vert); + + tmp_vert = new vertex2dc(midx + maxi_s, midy - maxi_s, 0.0, 1); // lower right corner + box_vert.push_back(tmp_vert); + + tmp_vert = new vertex2dc(midx + maxi_s, midy + maxi_s, 0.0, 2); // upper right corner + box_vert.push_back(tmp_vert); + + tmp_vert = new vertex2dc(midx - maxi_s, midy + maxi_s, 0.0, 3); // upper left corner + box_vert.push_back(tmp_vert); + + triangle *old_tri = nullptr, *tmp_tri = nullptr; + triangle *cnst_tri[4]; + std::vector::iterator t_iter; + + if (!is_collinear(box_vert[0], box_vert[1], box_vert[2])) // Do not create triangle if the vertexes are collinear + { + tmp_tri = new triangle(box_vert[0], box_vert[1], box_vert[2]); // order the vertex anti-clock wise + out_tris.push_back(tmp_tri); tmp_tri = nullptr; + } + + if (!is_collinear(box_vert[0], box_vert[2], box_vert[3])) + { + tmp_tri = new triangle(box_vert[0], box_vert[2], box_vert[3]); // order the vertex anti-clock wise + out_tris.push_back(tmp_tri); tmp_tri = nullptr; + } + + if (out_tris.size() != 2) return; + + out_tris[0]->set_neighbor(nullptr, nullptr, out_tris[1]); + out_tris[1]->set_neighbor(out_tris[0], nullptr, nullptr); + + // Prepare the DEM points + dem_point *tmp_dem = nullptr; + dem_point *maxi_err_dem = nullptr; + std::vector::iterator d_iter; + + // Find host triangle for all DEM locations + for (int d = 0; d < dem.size(); ++d) + { + tmp_dem = new dem_point(dem[d].x, dem[d].y, dem[d].elev); + for (int t = 0; t < out_tris.size(); ++t) + { + if (out_tris[t]->bound_location(tmp_dem->x, tmp_dem->y)) + { + tmp_dem->host = out_tris[t]; + tmp_dem->err = fabs(out_tris[t]->interpolate(tmp_dem->x, tmp_dem->y) - tmp_dem->elev); + out_tris[t]->hosted_dem.push_back(tmp_dem); + break; // already found, no need to search more + } + } + } + + // Sort hosted_dem in the desceding order with respect to the error. Get pointer of the dem_point with maximal error + double maxi_err_tmp = -1.0; + for (int t = 0; t < out_tris.size(); ++t) + { + std::sort(out_tris[t]->hosted_dem.begin(), out_tris[t]->hosted_dem.end(), compare_dem_point); + if (out_tris[t]->hosted_dem[0]->err > maxi_err_tmp) + { + maxi_err_tmp = out_tris[t]->hosted_dem[0]->err; + maxi_err_dem = out_tris[t]->hosted_dem[0]; + } + } + + while (maxi_err_dem->err >= maxi_err) // quit til the threshold is meet + { + if (err_records != nullptr) + { + err_records->push_back(maxi_err_dem->err); + } + + // find the triangle that includes maxi_err_dem and remove it from out_tris + for (t_iter = out_tris.begin(); t_iter != out_tris.end(); ) + { + old_tri = *t_iter; + if (old_tri == maxi_err_dem->host) + { + t_iter = out_tris.erase(t_iter); + break; + } + else t_iter++; + } + + // remove maxi_err_dem from its host triangle's hosted DEM list + for (d_iter = old_tri->hosted_dem.begin(); d_iter != old_tri->hosted_dem.end(); ) + { + if (maxi_err_dem == *d_iter) + { + d_iter = old_tri->hosted_dem.erase(d_iter); + break; + } + else d_iter++; + } + + // create a new vertex + tmp_vert = new vertex2dc(maxi_err_dem->x, maxi_err_dem->y, maxi_err_dem->elev, out_verts.size()); + out_verts.push_back(tmp_vert); + + // Delete maxi_err_dem + delete maxi_err_dem; maxi_err_dem = nullptr; + + // build new triangles + tmp_tri = split_triangle(tmp_vert, old_tri, cnst_tri); + for (int n = 0; n < 4; ++n) + { + if (cnst_tri[n] != nullptr) + { + out_tris.push_back(cnst_tri[n]); + } + } + + if (tmp_tri != nullptr) + { + for (t_iter = out_tris.begin(); t_iter != out_tris.end(); ) + { + if (tmp_tri == *t_iter) + { + t_iter = out_tris.erase(t_iter); + break; + } + else t_iter++; + } + + // build hosted dem for the new triangles + for (int d = 0; d < old_tri->hosted_dem.size(); d++) + { + tmp_dem = old_tri->hosted_dem[d]; + for (int n = 0; n < 4; n++) + { + if (cnst_tri[n] != nullptr && cnst_tri[n]->bound_location(tmp_dem->x, tmp_dem->y)) + { + tmp_dem->host = cnst_tri[n]; + tmp_dem->err = fabs(cnst_tri[n]->interpolate(tmp_dem->x, tmp_dem->y) - tmp_dem->elev); + cnst_tri[n]->hosted_dem.push_back(tmp_dem); + break; + } + } + } + + for (int d = 0; d < tmp_tri->hosted_dem.size(); d++) + { + tmp_dem = tmp_tri->hosted_dem[d]; + for (int n = 0; n < 4; n++) + { + if (cnst_tri[n] != nullptr && cnst_tri[n]->bound_location(tmp_dem->x, tmp_dem->y)) + { + tmp_dem->host = cnst_tri[n]; + tmp_dem->err = fabs(cnst_tri[n]->interpolate(tmp_dem->x, tmp_dem->y) - tmp_dem->elev); + cnst_tri[n]->hosted_dem.push_back(tmp_dem); + break; + } + } + } + + for (int n = 0; n < 4; n++) + { + if (cnst_tri[n] != nullptr) + { + std::sort(cnst_tri[n]->hosted_dem.begin(), cnst_tri[n]->hosted_dem.end(), compare_dem_point); + } + } + + // delete the old triangle + old_tri->hosted_dem.clear(); + delete old_tri; old_tri = nullptr; + + tmp_tri->hosted_dem.clear(); + delete tmp_tri; tmp_tri = nullptr; + } + else + { + // build hosted dem for the new triangles + for (int d = 0; d < old_tri->hosted_dem.size(); d++) + { + tmp_dem = old_tri->hosted_dem[d]; + for (int n = 0; n < 4; n++) + { + if (cnst_tri[n] != nullptr && cnst_tri[n]->bound_location(tmp_dem->x, tmp_dem->y)) + { + tmp_dem->host = cnst_tri[n]; + tmp_dem->err = fabs(cnst_tri[n]->interpolate(tmp_dem->x, tmp_dem->y) - tmp_dem->elev); + cnst_tri[n]->hosted_dem.push_back(tmp_dem); + break; + } + } + } + + for (int n = 0; n < 4; n++) + { + if (cnst_tri[n] != nullptr) + { + std::sort(cnst_tri[n]->hosted_dem.begin(), cnst_tri[n]->hosted_dem.end(), compare_dem_point); + } + } + + // delete the old triangle + old_tri->hosted_dem.clear(); + delete old_tri; old_tri = nullptr; + } + + // Make sure cnst_tri meet the empty circumcircle condition + for (int n = 0; n < 4; ++n) + { + if (cnst_tri[n] != nullptr) + { + make_delaunay(cnst_tri[n]); + } + } + + // get maximal errors from out_tris + maxi_err_tmp = -1.0; + for (int t = 0; t < out_tris.size(); t++) + { + if (!out_tris[t]->hosted_dem.empty() && out_tris[t]->hosted_dem[0]->err > maxi_err_tmp) + { + maxi_err_tmp = out_tris[t]->hosted_dem[0]->err; + maxi_err_dem = out_tris[t]->hosted_dem[0]; + } + } + } + + if (err_records != nullptr) + { + err_records->push_back(maxi_err_dem->err); + } + + // remove any triangles has an box vertex from out_tris + for (t_iter = out_tris.begin(); t_iter != out_tris.end(); ) + { + tmp_tri = *t_iter; + if (tmp_tri->vert[0] == box_vert[0] || tmp_tri->vert[0] == box_vert[1] || tmp_tri->vert[0] == box_vert[2] || tmp_tri->vert[0] == box_vert[3]) + { + if (tmp_tri->neigh[1] != nullptr) + { + for (int k = 0; k < 3; ++k) + { + if (tmp_tri->neigh[1]->neigh[k] == tmp_tri) + { + tmp_tri->neigh[1]->neigh[k] = nullptr; + break; + } + } + } + // destroy the memories located and remove from the vector + t_iter = out_tris.erase(t_iter); + delete tmp_tri; tmp_tri = nullptr; + } + else if (tmp_tri->vert[1] == box_vert[0] || tmp_tri->vert[1] == box_vert[1] || tmp_tri->vert[1] == box_vert[2] || tmp_tri->vert[1] == box_vert[3]) + { + if (tmp_tri->neigh[2] != nullptr) + { + for (int k = 0; k < 3; ++k) + { + if (tmp_tri->neigh[2]->neigh[k] == tmp_tri) + { + tmp_tri->neigh[2]->neigh[k] = nullptr; + break; + } + } + } + // destroy the memories located and remove from the vector + t_iter = out_tris.erase(t_iter); + delete tmp_tri; tmp_tri = nullptr; + } + else if (tmp_tri->vert[2] == box_vert[0] || tmp_tri->vert[2] == box_vert[1] || tmp_tri->vert[2] == box_vert[2] || tmp_tri->vert[2] == box_vert[3]) + { + if (tmp_tri->neigh[0] != nullptr) + { + for (int k = 0; k < 3; ++k) + { + if (tmp_tri->neigh[0]->neigh[k] == tmp_tri) + { + tmp_tri->neigh[0]->neigh[k] = nullptr; + break; + } + } + } + // 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++; + } + + // Cut outline if there is one + if (outline_poly != nullptr) + { + for (t_iter = out_tris.begin(); t_iter != out_tris.end(); ) + { + tmp_tri = *t_iter; + if (!triangle_inside_polygon(tmp_tri, outline_poly)) + { + // set neighbors + for (int i = 0; i < 3; ++i) + { + if (tmp_tri->neigh[i] != nullptr) + { + for (int j = 0; j < 3; ++j) + { + if (tmp_tri->neigh[i]->neigh[j] == tmp_tri) + { + tmp_tri->neigh[i]->neigh[j] = nullptr; + break; + } + } + } + } + // 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++; + } + } + + // assign triangles index + for (int i = 0; i < out_tris.size(); i++) + { + out_tris[i]->id = i; + // destroy remaining DEM data + for (int d = 0; d < out_tris[i]->hosted_dem.size(); d++) + { + tmp_dem = out_tris[i]->hosted_dem[d]; + delete tmp_dem; tmp_dem = nullptr; + } + } + + // destroy memories located for box_vert + for (int i = 0; i < 4; ++i) + { + delete box_vert[i]; box_vert[i] = nullptr; + } return; } diff --git a/src/lib/tin.h b/src/lib/tin.h index 54b0715..cc2303c 100644 --- a/src/lib/tin.h +++ b/src/lib/tin.h @@ -51,7 +51,7 @@ struct vertex2dc }; /** - * @brief Compare two vertexes + * @brief Compare two vertexes. Index of the vertexes are not used for comparsion * * @param a vertex a * @param b vertex b @@ -92,7 +92,7 @@ struct dem_point double x, y; // position of the DEM location double elev; // elevation at the DEM location double err; // error of the TIN with respect to the elevation - triangle *host; + triangle *host; // pointer of the triangle that the dem_point falls inside of dem_point(); @@ -185,7 +185,17 @@ struct triangle // End triangle definition /** - * @brief Generate the TIN from the DEM grid + * @brief Test if the input triangle is inside of the given polygon + * + * @param tri_p Pointer of a test triangle + * @param poly_vert Vertexes of a polygon + * @return true The test triangle is inside of the polygon + * @return false The test triangle is outside of the polygon + */ +bool triangle_inside_polygon(triangle *tri_p, std::vector *poly_vert); + +/** + * @brief Generate the TIN from a dense DEM grid * * @param[in] dem Input DEM grid (Ordered from lower left corner to the upper right corner) * @param[in] xmin The minimal coordinate of the DEM grid on the x-axis @@ -197,24 +207,25 @@ struct triangle * @param out_verts The output vector of vertex's pointers. The user need to destroy the memories allocated by the function before destroy the vector * @param out_tris The output vector of triangle's pointers. The user need to destroy the memories allocated by the function before destroy the vector * @param[in] maxi_err Threshold to quit the algorithm. The default is 1e-0 + * @param[in] outline_poly If this pointer is not NULL, Cut triangle outside of or intersected with the polygon. * @param[in] err_records If this pointer is not NULL, record maximal error values after each insertion of vertex. */ void dem2tin(const std::vector &dem, double xmin, double xmax, double ymin, double ymax, double dx, double dy, std::vector &out_verts, std::vector &out_tris, - double maxi_err = 1e-0, std::vector *err_records = nullptr); + double maxi_err = 1e-0, std::vector *outline_poly = nullptr, std::vector *err_records = nullptr); /** * @brief Generate the TIN from random DEM points * - * @param dem Input DEM points - * @param out_verts The output vector of vertex's pointers. The user need to destroy the memories allocated by the function before destroy the vector + * @param dem Input DEM points + * @param out_verts The output vector of vertex's pointers. The user need to destroy the memories allocated by the function before destroy the vector * @param out_tris The output vector of triangle's pointers. The user need to destroy the memories allocated by the function before destroy the vector * @param[in] maxi_err Threshold to quit the algorithm. The default is 1e-0 - * @param[in] outline_poly If this pointer is not NULL, Cut triangle outside the polygon. + * @param[in] outline_poly If this pointer is not NULL, Cut triangle outside of or intersected with the polygon. * @param[in] err_records If this pointer is not NULL, record maximal error values after each insertion of vertex. */ void rnd2tin(const std::vector &dem, std::vector &out_verts, - std::vector &out_tris, double maxi_err = 1e-0, std::vector *outline_poly = nullptr, + std::vector &out_tris, double maxi_err = 1e-0, std::vector *outline_poly = nullptr, std::vector *err_records = nullptr); #endif // _TIN_DELAUNAY_H \ No newline at end of file