Triangulation of polygons respects its area
- remove its_filtration Move Flatness out of Font
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48f1be6ccc
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028f04f8a1
@ -56,30 +56,28 @@ std::optional<Privat::Glyph> Privat::get_glyph(stbtt_fontinfo &font_info, int un
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int *contour_lengths = NULL;
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int num_countour = 0;
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stbtt__point *points = stbtt_FlattenCurves(vertices, num_verts,
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flatness,
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&contour_lengths,
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&num_countour,
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font_info.userdata);
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flatness, &contour_lengths, &num_countour, font_info.userdata);
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glyph.polygons.reserve(num_countour);
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size_t pi = 0; // point index
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for (size_t ci = 0; ci < num_countour; ++ci) {
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int length = contour_lengths[ci];
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if (length <= 0) continue;
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// minimal length for triangle
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assert(length >= 4);
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// last point is first point
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--length;
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Points pts;
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pts.reserve(length);
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for (size_t i = 0; i < length; i++) {
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for (size_t i = 0; i < length; ++i) {
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const stbtt__point &point = points[pi];
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pi++;
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++pi;
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pts.emplace_back(point.x, point.y);
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}
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if (pts.front() == pts.back()) {
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pts.pop_back();
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} else {
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int j = 42;
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}
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// last point is first point
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assert(pts.front() == Point(points[pi].x, points[pi].y));
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++pi;
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glyph.polygons.emplace_back(pts);
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}
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@ -134,20 +132,20 @@ std::optional<Emboss::Font> Emboss::load_font(const char *file_path)
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return res;
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}
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Polygons Emboss::letter2polygons(const Font &font, char letter)
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Polygons Emboss::letter2polygons(const Font &font, char letter, float flatness)
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{
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auto font_info_opt = Privat::load_font_info(font);
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if (!font_info_opt.has_value()) return Polygons();
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stbtt_fontinfo *font_info = &(*font_info_opt);
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auto glyph_opt = Privat::get_glyph(*font_info_opt, (int) letter, font.flatness);
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auto glyph_opt = Privat::get_glyph(*font_info_opt, (int) letter, flatness);
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if (!glyph_opt.has_value()) return Polygons();
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return glyph_opt->polygons;
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}
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#include <boost\nowide\convert.hpp>
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Polygons Emboss::text2polygons(const Font &font, const char *text)
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Polygons Emboss::text2polygons(const Font &font, const char *text, float flatness)
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{
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auto font_info_opt = Privat::load_font_info(font);
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if (!font_info_opt.has_value()) return Polygons();
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@ -164,7 +162,7 @@ Polygons Emboss::text2polygons(const Font &font, const char *text)
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continue;
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}
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int unicode = static_cast<int>(wc);
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auto glyph_opt = Privat::get_glyph(*font_info_opt, unicode, font.flatness);
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auto glyph_opt = Privat::get_glyph(*font_info_opt, unicode, flatness);
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if (!glyph_opt.has_value()) continue;
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// move glyph to cursor position
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@ -179,163 +177,6 @@ Polygons Emboss::text2polygons(const Font &font, const char *text)
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return result;
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}
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std::vector<Vec3i> its_create_neighbors_index_2(const indexed_triangle_set &its)
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{
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std::vector<Vec3i> out(its.indices.size(), Vec3i(-1, -1, -1));
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// Create a mapping from triangle edge into face.
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struct EdgeToFace
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{
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// Index of the 1st vertex of the triangle edge. vertex_low <= vertex_high.
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int vertex_low;
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// Index of the 2nd vertex of the triangle edge.
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int vertex_high;
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// Index of a triangular face.
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int face;
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// Index of edge in the face, starting with 1. Negative indices if the
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// edge was stored reverse in (vertex_low, vertex_high).
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int face_edge;
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bool operator==(const EdgeToFace &other) const
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{
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return vertex_low == other.vertex_low &&
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vertex_high == other.vertex_high;
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}
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bool operator<(const EdgeToFace &other) const
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{
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return vertex_low < other.vertex_low ||
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(vertex_low == other.vertex_low &&
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vertex_high < other.vertex_high);
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}
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};
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std::vector<EdgeToFace> edges_map;
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edges_map.assign(its.indices.size() * 3, EdgeToFace());
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for (uint32_t facet_idx = 0; facet_idx < its.indices.size(); ++facet_idx)
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for (int i = 0; i < 3; ++i) {
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EdgeToFace &e2f = edges_map[facet_idx * 3 + i];
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e2f.vertex_low = its.indices[facet_idx][i];
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e2f.vertex_high = its.indices[facet_idx][(i + 1) % 3];
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e2f.face = facet_idx;
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// 1 based indexing, to be always strictly positive.
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e2f.face_edge = i + 1;
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if (e2f.vertex_low > e2f.vertex_high) {
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// Sort the vertices
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std::swap(e2f.vertex_low, e2f.vertex_high);
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// and make the face_edge negative to indicate a flipped edge.
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e2f.face_edge = -e2f.face_edge;
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}
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}
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std::sort(edges_map.begin(), edges_map.end());
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// Assign a unique common edge id to touching triangle edges.
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int num_edges = 0;
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for (size_t i = 0; i < edges_map.size(); ++i) {
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EdgeToFace &edge_i = edges_map[i];
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if (edge_i.face == -1)
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// This edge has been connected to some neighbor already.
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continue;
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// Unconnected edge. Find its neighbor with the correct orientation.
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size_t j;
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bool found = false;
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for (j = i + 1; j < edges_map.size() && edge_i == edges_map[j]; ++j)
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if (edge_i.face_edge * edges_map[j].face_edge < 0 &&
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edges_map[j].face != -1) {
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// Faces touching with opposite oriented edges and none of the
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// edges is connected yet.
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found = true;
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break;
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}
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if (!found) {
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// FIXME Vojtech: Trying to find an edge with equal orientation.
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// This smells.
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// admesh can assign the same edge ID to more than two facets (which is
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// still topologically correct), so we have to search for a
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// duplicate of this edge too in case it was already seen in this
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// orientation
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for (j = i + 1; j < edges_map.size() && edge_i == edges_map[j];
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++j)
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if (edges_map[j].face != -1) {
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// Faces touching with equally oriented edges and none of
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// the edges is connected yet.
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found = true;
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break;
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}
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}
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// Assign an edge index to the 1st face.
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// out[edge_i.face](std::abs(edge_i.face_edge) - 1) = num_edges;
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if (found) {
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EdgeToFace &edge_j = edges_map[j];
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out[edge_i.face](std::abs(edge_i.face_edge) - 1) = edge_j.face;
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out[edge_j.face](std::abs(edge_j.face_edge) - 1) = edge_i.face;
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// Mark the edge as connected.
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edge_j.face = -1;
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}
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++num_edges;
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}
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return out;
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}
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void its_remove_edge_triangles(indexed_triangle_set &its)
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{
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//// start, count
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//std::vector<std::pair<uint32_t, uint32_t>> neighbors_vertices(its.vertices.size(), {0,0});
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//// calc counts
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//for (const auto &i : its.indices) {
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// for (size_t j = 0; j < 3; j++)
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// ++neighbors_vertices[i[j]].second;
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//}
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//uint32_t triangle_start = 0;
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//for (auto &neighbor : neighbors_vertices) {
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// neighbor.first = triangle_start;
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// triangle_start += neighbor.second;
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// neighbor.second = 0;
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//}
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//std::vector<uint32_t> neighbors_data(its.indices.size()*3);
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//for (const auto &i : its.indices) {
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// uint32_t index = &i - &its.indices.front();
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// for (size_t j = 0; j < 3; j++) {
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// auto & neighbor = neighbors_vertices[i[j]];
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// size_t index_data = neighbor.second + neighbor.first;
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// neighbors_data[index_data] = index;
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// ++neighbor.second;
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// }
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//}
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auto neighbors = its_create_neighbors_index_2(its);
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std::set<uint32_t> remove;
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std::queue<uint32_t> insert;
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int no_value = -1;
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for (const auto &neighbor : neighbors) {
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uint32_t index = &neighbor - &neighbors.front();
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auto it = remove.find(index);
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if (it != remove.end()) continue; // already removed
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if (neighbor[0] != no_value &&
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neighbor[1] != no_value &&
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neighbor[2] != no_value)
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continue;
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insert.push(index);
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while (!insert.empty()) {
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uint32_t i = insert.front();
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insert.pop();
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if (remove.find(i) != remove.end()) continue;
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remove.insert(i);
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for (size_t j = 0; j < 3; j++) {
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if (neighbor[j] == no_value) continue;
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uint32_t i2 = static_cast<uint32_t>(neighbor[j]);
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insert.push(i2);
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}
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}
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}
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std::vector<uint32_t> rem(remove.begin(), remove.end());
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std::sort(rem.begin(), rem.end());
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uint32_t offset = 0;
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for (uint32_t i : rem) {
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its.indices.erase(its.indices.begin() + (i - offset));
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++offset;
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}
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}
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indexed_triangle_set Emboss::polygons2model(const Polygons &shape2d,
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const IProject &projection)
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{
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@ -387,18 +228,14 @@ indexed_triangle_set Emboss::polygons2model(const Polygons &shape2d,
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}
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polygon_offset += polygon_points;
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}
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// remove bad triangulated faces
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its_remove_edge_triangles(result);
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return result;
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}
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#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
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#include <CGAL/Constrained_Delaunay_triangulation_2.h>
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#include <CGAL/Triangulation_vertex_base_with_info_2.h>
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std::vector<Vec3i> Emboss::triangulate(
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const Points& points,
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const std::set<std::pair<uint32_t, uint32_t>> &edges)
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Emboss::Indices Emboss::triangulate(const Points & points,
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const HalfEdges &half_edges)
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{
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// IMPROVE use int point insted of float !!!
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@ -410,19 +247,20 @@ std::vector<Vec3i> Emboss::triangulate(
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// construct a constrained triangulation
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CDT cdt;
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std::map<CDT::Vertex_handle, int> map; // for indices
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std::map<CDT::Vertex_handle, uint32_t> map; // for indices
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std::vector<CDT::Vertex_handle> vertices_handle; // for constriants
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vertices_handle.reserve(points.size());
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for (const auto& p: points) {
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Point cdt_p(p.x(), p.y());
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auto handl = cdt.insert(cdt_p);
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vertices_handle.push_back(handl);
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size_t i = &p - &points.front();
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map[handl] = i;
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// point index
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uint32_t pi = &p - &points.front();
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map[handl] = pi;
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}
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// triangle can not contain forbiden edge
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for (const std::pair<uint32_t, uint32_t> &edge : edges) {
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for (const std::pair<uint32_t, uint32_t> &edge : half_edges) {
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const CDT::Vertex_handle& vh1 = vertices_handle[edge.first];
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const CDT::Vertex_handle& vh2 = vertices_handle[edge.second];
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cdt.insert_constraint(vh1, vh2);
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@ -432,33 +270,33 @@ std::vector<Vec3i> Emboss::triangulate(
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std::vector<Vec3i> indices;
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indices.reserve(faces.size());
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for (CDT::Face_handle face : faces) {
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auto v0 = face->vertex(0);
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auto v1 = face->vertex(1);
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auto v2 = face->vertex(2);
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uint32_t i0 = map[v0];
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uint32_t i1 = map[v1];
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uint32_t i2 = map[v2];
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// point indices
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std::array<uint32_t, 3> pi;
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for (size_t i = 0; i < 3; ++i)
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pi[i] = map[face->vertex(i)];
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// check forbiden triangle edge - opposit order
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if (edges.find(std::make_pair(i0, i1)) != edges.end()) continue;
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if (edges.find(std::make_pair(i1, i2)) != edges.end()) continue;
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if (edges.find(std::make_pair(i2, i0)) != edges.end()) continue;
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// Do not use triangles with opposit edges
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if (half_edges.find(std::make_pair(pi[0], pi[1])) != half_edges.end()) continue;
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if (half_edges.find(std::make_pair(pi[1], pi[2])) != half_edges.end()) continue;
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if (half_edges.find(std::make_pair(pi[2], pi[0])) != half_edges.end()) continue;
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indices.emplace_back(map[v0], map[v1], map[v2]);
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indices.emplace_back(pi[0], pi[1], pi[2]);
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}
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return indices;
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}
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std::vector<Vec3i> Emboss::triangulate(const Polygon &polygon)
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Emboss::Indices Emboss::triangulate(const Polygon &polygon)
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{
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const Points & pts = polygon.points;
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std::set<std::pair<uint32_t, uint32_t>> edges;
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for (uint32_t i = 1; i < pts.size(); ++i) edges.insert({i - 1, i});
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edges.insert({(uint32_t)pts.size() - 1, uint32_t(0)});
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return triangulate(pts, edges);
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Emboss::Indices indices = triangulate(pts, edges);
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remove_outer(indices, edges);
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return indices;
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}
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std::vector<Vec3i> Emboss::triangulate(const Polygons &polygons)
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Emboss::Indices Emboss::triangulate(const Polygons &polygons)
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{
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size_t count = count_points(polygons);
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Points points;
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@ -480,7 +318,76 @@ std::vector<Vec3i> Emboss::triangulate(const Polygons &polygons)
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edges.insert({offset + size - 1, offset});
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offset += size;
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}
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return triangulate(points, edges);
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Emboss::Indices indices = triangulate(points, edges);
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remove_outer(indices, edges);
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return indices;
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}
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void Emboss::remove_outer(Indices &indices, const HalfEdges &half_edges) {
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uint32_t no_triangle = indices.size();
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std::map<HalfEdge, uint32_t> edge2triangle;
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// triangles with all edges out of half_edge, candidate to remove
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std::vector<uint32_t> triangles_to_check;
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triangles_to_check.reserve(indices.size()/3);
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for (const auto& t : indices) {
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uint32_t index = &t - &indices.front();
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bool is_border = false;
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for (size_t j = 0; j < 3; ++j) {
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size_t j2 = (j == 0) ? 2 : (j - 1);
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HalfEdge he(t[j], t[j2]);
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if (half_edges.find(he) != half_edges.end())
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is_border = true;
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else
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edge2triangle[he] = index;
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}
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if (!is_border) {
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triangles_to_check.push_back(index);
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}
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}
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std::set<uint32_t> remove;
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std::queue<uint32_t> insert;
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for (uint32_t index : triangles_to_check) {
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auto it = remove.find(index);
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if (it != remove.end()) continue; // already removed
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bool is_edge = false;
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const Vec3i &t = indices[index];
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for (size_t j = 0; j < 3; ++j) {
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size_t j2 = (j == 0) ? 2 : (j - 1);
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// opposit
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HalfEdge he(t[j2], t[j]);
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if (edge2triangle.find(he) == edge2triangle.end()) is_edge = true;
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}
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if (!is_edge) continue; // correct
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insert.push(index);
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while (!insert.empty()) {
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uint32_t i = insert.front();
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insert.pop();
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if (remove.find(i) != remove.end()) continue;
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remove.insert(i);
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for (size_t j = 0; j < 3; ++j) {
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size_t j2 = (j == 0) ? 2 : (j - 1);
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// opposit
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HalfEdge he(t[j2], t[j]);
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auto it = edge2triangle.find(he);
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if (it == edge2triangle.end()) continue; // edge
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insert.push(it->second);
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}
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}
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}
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// remove indices
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std::vector<uint32_t> rem(remove.begin(), remove.end());
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std::sort(rem.begin(), rem.end());
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uint32_t offset = 0;
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for (uint32_t i : rem) {
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indices.erase(indices.begin() + (i - offset));
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++offset;
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}
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}
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std::pair<Vec3f, Vec3f> Emboss::ProjectZ::project(const Point &p) const
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@ -38,9 +38,6 @@ public:
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// unscaled precision of lettter outline curve in conversion to lines
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float flatness = 2.;
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// change size of font
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float scale = 1.;
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// enum class Align: center/left/right
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};
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@ -56,16 +53,18 @@ public:
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/// </summary>
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/// <param name="font">Define fonts</param>
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/// <param name="letter">One character to convert</param>
|
||||
/// <param name="flatness">Precision of lettter outline curve in conversion to lines</param>
|
||||
/// <returns>inner polygon ccw(outer cw)</returns>
|
||||
static Polygons letter2polygons(const Font &font, char letter);
|
||||
static Polygons letter2polygons(const Font &font, char letter, float flatness);
|
||||
|
||||
/// <summary>
|
||||
/// Convert text into polygons
|
||||
/// </summary>
|
||||
/// <param name="font">Define fonts</param>
|
||||
/// <param name="text">Characters to convert</param>
|
||||
/// <returns>inner polygon ccw(outer cw)</returns>
|
||||
static Polygons text2polygons(const Font &font, const char *text);
|
||||
/// <param name="flatness">Precision of lettter outline curve in conversion to lines</param>
|
||||
/// <returns>Inner polygon ccw(outer cw)</returns>
|
||||
static Polygons text2polygons(const Font &font, const char *text, float flatness);
|
||||
|
||||
/// <summary>
|
||||
/// Project 2d point into space
|
||||
@ -94,15 +93,27 @@ public:
|
||||
/// <returns>Projected shape into space</returns>
|
||||
static indexed_triangle_set polygons2model(const Polygons &shape2d, const IProject& projection);
|
||||
|
||||
// define oriented connection of 2 vertices(defined by its index)
|
||||
using HalfEdge = std::pair<uint32_t, uint32_t>;
|
||||
using HalfEdges = std::set<HalfEdge>;
|
||||
using Indices = std::vector<Vec3i>;
|
||||
/// <summary>
|
||||
/// Connect points by triangulation to create filled surface by triangle indices
|
||||
/// </summary>
|
||||
/// <param name="points">Points to connect</param>
|
||||
/// <param name="edges">Constraint for edges, pair is from point(first) to point(second)</param>
|
||||
/// <returns>Triangles</returns>
|
||||
static std::vector<Vec3i> triangulate(const Points &points, const std::set<std::pair<uint32_t, uint32_t>> &edges);
|
||||
static std::vector<Vec3i> triangulate(const Polygon &polygon);
|
||||
static std::vector<Vec3i> triangulate(const Polygons &polygons);
|
||||
static Indices triangulate(const Points &points, const HalfEdges &half_edges);
|
||||
static Indices triangulate(const Polygon &polygon);
|
||||
static Indices triangulate(const Polygons &polygons);
|
||||
|
||||
/// <summary>
|
||||
/// Filter out triagles without both side edge or inside half edges
|
||||
/// Main purpose: Filter out triangles which lay outside of ExPolygon given to triangulation
|
||||
/// </summary>
|
||||
/// <param name="indices">Triangles</param>
|
||||
/// <param name="half_edges">Only outer edges</param>
|
||||
static void remove_outer(Indices &indices, const HalfEdges &half_edges);
|
||||
|
||||
class ProjectZ : public IProject
|
||||
{
|
||||
|
@ -24,6 +24,7 @@ GLGizmoEmboss::GLGizmoEmboss(GLCanvas3D & parent,
|
||||
, m_text(new char[m_text_size])
|
||||
, m_scale(0.01f)
|
||||
, m_emboss(5.f)
|
||||
, m_flatness(2.f)
|
||||
{
|
||||
load_font();
|
||||
// TODO: suggest to use https://fontawesome.com/
|
||||
@ -86,6 +87,7 @@ void GLGizmoEmboss::on_render_input_window(float x, float y, float bottom_limit)
|
||||
|
||||
ImGui::InputFloat("Scale", &m_scale);
|
||||
ImGui::InputFloat("Emboss", &m_emboss);
|
||||
ImGui::InputFloat("Flatness", &m_flatness);
|
||||
m_imgui->disabled_begin(!m_font.has_value());
|
||||
if (ImGui::Button("Preview")) process();
|
||||
m_imgui->disabled_end();
|
||||
@ -160,7 +162,7 @@ void GLGizmoEmboss::process() {
|
||||
auto project = std::make_unique<Emboss::ProjectScale>(
|
||||
std::make_unique<Emboss::ProjectZ>(m_emboss/m_scale), m_scale);
|
||||
|
||||
Polygons polygons = Emboss::text2polygons(*m_font, m_text.get());
|
||||
Polygons polygons = Emboss::text2polygons(*m_font, m_text.get(), m_flatness);
|
||||
if (polygons.empty()) return;
|
||||
|
||||
indexed_triangle_set its = Emboss::polygons2model(polygons, *project);
|
||||
|
@ -64,6 +64,7 @@ private:
|
||||
|
||||
float m_scale;
|
||||
float m_emboss;
|
||||
float m_flatness;
|
||||
};
|
||||
|
||||
} // namespace GUI
|
||||
|
@ -288,3 +288,15 @@ TEST_CASE("Simplify trouble case", "[its]")
|
||||
its_quadric_edge_collapse(tm.its, wanted_count, &max_error);
|
||||
CHECK(tm.its.indices.size() <= 8);
|
||||
}
|
||||
|
||||
TEST_CASE("Neighbors in cube", "[its]")
|
||||
{
|
||||
auto its = its_make_cube(1, 2, 3);
|
||||
auto neighbors = its_face_neighbors(its);
|
||||
int no_value = -1;
|
||||
for (auto &neighbor : neighbors) {
|
||||
for (size_t i = 0; i < 3; i++) {
|
||||
CHECK(neighbor[i] != no_value);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
Loading…
Reference in New Issue
Block a user