From 165934137090fb9bfff01679086f4a418b6ce4b9 Mon Sep 17 00:00:00 2001 From: papush! Date: Thu, 25 Nov 2021 15:00:20 +0100 Subject: [PATCH] add MeshReconstruction dep and some test meshes --- CMakeLists.txt | 11 +- data/face_scaled.obj | 68474 ++++++++++ data/gargoyle_trou.obj | 103420 +++++++++++++++ external/MeshReconstruction/.DS_Store | Bin 0 -> 6148 bytes external/MeshReconstruction/.gitignore | 3 + external/MeshReconstruction/CMakeLists.txt | 16 + external/MeshReconstruction/Readme.md | 13 + .../MeshReconstruction/demo/CMakeLists.txt | 3 + external/MeshReconstruction/demo/main.cpp | 22 + .../MeshReconstruction/lib/CMakeLists.txt | 12 + external/MeshReconstruction/lib/Cube.cpp | 149 + external/MeshReconstruction/lib/Cube.h | 30 + external/MeshReconstruction/lib/DataStructs.h | 57 + external/MeshReconstruction/lib/IO.cpp | 53 + external/MeshReconstruction/lib/IO.h | 9 + .../lib/MeshReconstruction.cpp | 78 + .../lib/MeshReconstruction.h | 27 + .../MeshReconstruction/lib/Triangulation.cpp | 301 + .../MeshReconstruction/lib/Triangulation.h | 11 + external/MeshReconstruction/numberings.png | Bin 0 -> 2704 bytes external/MeshReconstruction/overview.png | Bin 0 -> 109313 bytes notes_réparation_bac.txt | 5 + src/hole_filling.cpp | 58 + src/hole_filling.h | 13 + 24 files changed, 172763 insertions(+), 2 deletions(-) create mode 100644 data/face_scaled.obj create mode 100644 data/gargoyle_trou.obj create mode 100644 external/MeshReconstruction/.DS_Store create mode 100644 external/MeshReconstruction/.gitignore create mode 100644 external/MeshReconstruction/CMakeLists.txt create mode 100644 external/MeshReconstruction/Readme.md create mode 100644 external/MeshReconstruction/demo/CMakeLists.txt create mode 100644 external/MeshReconstruction/demo/main.cpp create mode 100644 external/MeshReconstruction/lib/CMakeLists.txt create mode 100644 external/MeshReconstruction/lib/Cube.cpp create mode 100644 external/MeshReconstruction/lib/Cube.h create mode 100644 external/MeshReconstruction/lib/DataStructs.h create mode 100644 external/MeshReconstruction/lib/IO.cpp create mode 100644 external/MeshReconstruction/lib/IO.h create mode 100644 external/MeshReconstruction/lib/MeshReconstruction.cpp create mode 100644 external/MeshReconstruction/lib/MeshReconstruction.h create mode 100644 external/MeshReconstruction/lib/Triangulation.cpp create mode 100644 external/MeshReconstruction/lib/Triangulation.h create mode 100644 external/MeshReconstruction/numberings.png create mode 100644 external/MeshReconstruction/overview.png create mode 100644 notes_réparation_bac.txt create mode 100644 src/hole_filling.cpp create mode 100644 src/hole_filling.h diff --git a/CMakeLists.txt b/CMakeLists.txt index 9d2ad2c..a7119a5 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -6,6 +6,10 @@ find_package(Qt5 REQUIRED COMPONENTS Core Gui Widgets) add_subdirectory(external/OpenMesh) add_subdirectory(external/Eigen) +add_subdirectory(external/MeshReconstruction) +target_include_directories(MeshReconstruction INTERFACE + external/MeshReconstruction/lib) + add_executable(${PROJECT_NAME}) target_sources(${PROJECT_NAME} PRIVATE resources.qrc @@ -28,11 +32,14 @@ target_sources(${PROJECT_NAME} PRIVATE src/quad_patch.cpp src/quad_patch.h src/quad_patch_tesselator.cpp - src/quad_patch_tesselator.h) + src/quad_patch_tesselator.h + src/hole_filling.h + src/hole_filling.cpp) target_link_libraries(${PROJECT_NAME} PRIVATE Qt5::Core Qt5::Gui Qt5::Widgets OpenMeshCore - eigen) + eigen + MeshReconstruction) target_compile_features(${PROJECT_NAME} PRIVATE cxx_std_17) set_target_properties(${PROJECT_NAME} PROPERTIES AUTOMOC ON diff --git a/data/face_scaled.obj b/data/face_scaled.obj new file mode 100644 index 0000000..9f805bf --- /dev/null +++ b/data/face_scaled.obj @@ -0,0 +1,68474 @@ +#### +# +# OBJ File Generated by Meshlab +# +#### +# Object face.obj +# +# Vertices: 17157 +# Faces: 34144 +# +#### +vn -0.000012 -9362.621094 3513.028320 +v 0.000000 1.901438 3.667033 +vn 0.000095 -8899.737305 4560.120605 +v 0.000000 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index 0000000000000000000000000000000000000000..13642ff228d4d78575f93cc515454bda5d9f6637 GIT binary patch literal 6148 zcmeHK!A=4(5N!dq8)D>OBFA35aR4Q7GT9&=yqT=ggBsY)64?Z{1{R6pn*9y^Bfr4k zai%Rqf+n7fk(p%rrqh`=eY@$jj4|Gtgf+%Wj4=ULKMZexbgaG>Lq?M8Mpk= z752{jq#s!OT&cmr_JfP4H|>;mk5!!bQQRBpVuyph@NSiNQ@e_@#|=EoKHyI^%j}n8&Wn?F)tL)xj@yIODEC zYKZ}2V3~ou>6WnmpM3xRUrwSPF+dFbD+YL>?X_F5C0kopHixxVf_6bsFfKE=NC88a gVu;03Tn5zweu)O4YcVqj9uT?+Xd0*?27Z-+4+lw5nE(I) literal 0 HcmV?d00001 diff --git a/external/MeshReconstruction/.gitignore b/external/MeshReconstruction/.gitignore new file mode 100644 index 0000000..81effa0 --- /dev/null +++ b/external/MeshReconstruction/.gitignore @@ -0,0 +1,3 @@ +bin +html/ +latex/ diff --git a/external/MeshReconstruction/CMakeLists.txt b/external/MeshReconstruction/CMakeLists.txt new file mode 100644 index 0000000..7df1238 --- /dev/null +++ b/external/MeshReconstruction/CMakeLists.txt @@ -0,0 +1,16 @@ +cmake_minimum_required (VERSION 3.0) +project (MeshReconstruction) + +set(CMAKE_CXX_STANDARD 11) +set(CMAKE_CXX_STANDARD_REQUIRED ON) + +# Parallel compilation. +if(WIN32) + set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /MP") + set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /wd4250") +endif() + +set(CMAKE_DEBUG_POSTFIX "d") + +add_subdirectory(lib) +add_subdirectory(demo) \ No newline at end of file diff --git a/external/MeshReconstruction/Readme.md b/external/MeshReconstruction/Readme.md new file mode 100644 index 0000000..98870a6 --- /dev/null +++ b/external/MeshReconstruction/Readme.md @@ -0,0 +1,13 @@ +# MeshReconstruction + +This is a small library that can reconstruct a triangle mesh from a signed distance function using the Marching Cubes algorithm and export it to a file in the obj format. + +The library is self-contained and has no dependencies. The library is fast due to precomputed lookup tables and a narrow-band approach which excludes a lot of marching cubes that are far away from the surface. + +The library requires C++14 and has been tested under Visual Studio 2017 and Windows 10 but should port to other systems without major problems. + +The library can be used under the terms of the MIT License. + +

+ Overview +

\ No newline at end of file diff --git a/external/MeshReconstruction/demo/CMakeLists.txt b/external/MeshReconstruction/demo/CMakeLists.txt new file mode 100644 index 0000000..417bd49 --- /dev/null +++ b/external/MeshReconstruction/demo/CMakeLists.txt @@ -0,0 +1,3 @@ +include_directories("." ${PROJECT_SOURCE_DIR}/lib) +add_executable(Demo main.cpp) +target_link_libraries (Demo MeshReconstruction) \ No newline at end of file diff --git a/external/MeshReconstruction/demo/main.cpp b/external/MeshReconstruction/demo/main.cpp new file mode 100644 index 0000000..84f2df9 --- /dev/null +++ b/external/MeshReconstruction/demo/main.cpp @@ -0,0 +1,22 @@ +#include +#include + +using namespace MeshReconstruction; + +int main() +{ + auto sphereSdf = [](Vec3 const& pos) + { + auto const Radius = 1.0; + return pos.Norm() - Radius; + }; + + Rect3 domain; + domain.min = { -1.1, -1.1, -1.1 }; + domain.size = {2.2, 2.2, 2.2}; + + Vec3 cubeSize{ 0.05, 0.05, 0.05 }; + + auto mesh = MarchCube(sphereSdf, domain, cubeSize); + WriteObjFile(mesh, "sphere.obj"); +} \ No newline at end of file diff --git a/external/MeshReconstruction/lib/CMakeLists.txt b/external/MeshReconstruction/lib/CMakeLists.txt new file mode 100644 index 0000000..bd2f0c8 --- /dev/null +++ b/external/MeshReconstruction/lib/CMakeLists.txt @@ -0,0 +1,12 @@ +add_library(MeshReconstruction MeshReconstruction.h MeshReconstruction.cpp Cube.h Cube.cpp DataStructs.h IO.h IO.cpp Triangulation.h Triangulation.cpp) + +target_link_libraries(MeshReconstruction m) + +install(TARGETS MeshReconstruction + RUNTIME DESTINATION bin + LIBRARY DESTINATION lib + ARCHIVE DESTINATION lib) + +install(DIRECTORY . + DESTINATION . + FILES_MATCHING PATTERN "*.h") \ No newline at end of file diff --git a/external/MeshReconstruction/lib/Cube.cpp b/external/MeshReconstruction/lib/Cube.cpp new file mode 100644 index 0000000..2c4f990 --- /dev/null +++ b/external/MeshReconstruction/lib/Cube.cpp @@ -0,0 +1,149 @@ +#include "Cube.h" +#include + +using namespace MeshReconstruction; + +namespace +{ + // Cube has 8 vertices. Each vertex can have positive or negative sign. + // 2^8 = 256 possible configurations mapped to intersected edges in each case. + // The 12 edges are numbered as 1, 2, 4, ..., 2048 and are stored as a 12-bit bitstring for each configuration. + const int signConfigToIntersectedEdges[256] = { + 0x0 , 0x109, 0x203, 0x30a, 0x406, 0x50f, 0x605, 0x70c, + 0x80c, 0x905, 0xa0f, 0xb06, 0xc0a, 0xd03, 0xe09, 0xf00, + 0x190, 0x99 , 0x393, 0x29a, 0x596, 0x49f, 0x795, 0x69c, + 0x99c, 0x895, 0xb9f, 0xa96, 0xd9a, 0xc93, 0xf99, 0xe90, + 0x230, 0x339, 0x33 , 0x13a, 0x636, 0x73f, 0x435, 0x53c, + 0xa3c, 0xb35, 0x83f, 0x936, 0xe3a, 0xf33, 0xc39, 0xd30, + 0x3a0, 0x2a9, 0x1a3, 0xaa , 0x7a6, 0x6af, 0x5a5, 0x4ac, + 0xbac, 0xaa5, 0x9af, 0x8a6, 0xfaa, 0xea3, 0xda9, 0xca0, + 0x460, 0x569, 0x663, 0x76a, 0x66 , 0x16f, 0x265, 0x36c, + 0xc6c, 0xd65, 0xe6f, 0xf66, 0x86a, 0x963, 0xa69, 0xb60, + 0x5f0, 0x4f9, 0x7f3, 0x6fa, 0x1f6, 0xff , 0x3f5, 0x2fc, + 0xdfc, 0xcf5, 0xfff, 0xef6, 0x9fa, 0x8f3, 0xbf9, 0xaf0, + 0x650, 0x759, 0x453, 0x55a, 0x256, 0x35f, 0x55 , 0x15c, + 0xe5c, 0xf55, 0xc5f, 0xd56, 0xa5a, 0xb53, 0x859, 0x950, + 0x7c0, 0x6c9, 0x5c3, 0x4ca, 0x3c6, 0x2cf, 0x1c5, 0xcc , + 0xfcc, 0xec5, 0xdcf, 0xcc6, 0xbca, 0xac3, 0x9c9, 0x8c0, + 0x8c0, 0x9c9, 0xac3, 0xbca, 0xcc6, 0xdcf, 0xec5, 0xfcc, + 0xcc , 0x1c5, 0x2cf, 0x3c6, 0x4ca, 0x5c3, 0x6c9, 0x7c0, + 0x950, 0x859, 0xb53, 0xa5a, 0xd56, 0xc5f, 0xf55, 0xe5c, + 0x15c, 0x55 , 0x35f, 0x256, 0x55a, 0x453, 0x759, 0x650, + 0xaf0, 0xbf9, 0x8f3, 0x9fa, 0xef6, 0xfff, 0xcf5, 0xdfc, + 0x2fc, 0x3f5, 0xff , 0x1f6, 0x6fa, 0x7f3, 0x4f9, 0x5f0, + 0xb60, 0xa69, 0x963, 0x86a, 0xf66, 0xe6f, 0xd65, 0xc6c, + 0x36c, 0x265, 0x16f, 0x66 , 0x76a, 0x663, 0x569, 0x460, + 0xca0, 0xda9, 0xea3, 0xfaa, 0x8a6, 0x9af, 0xaa5, 0xbac, + 0x4ac, 0x5a5, 0x6af, 0x7a6, 0xaa , 0x1a3, 0x2a9, 0x3a0, + 0xd30, 0xc39, 0xf33, 0xe3a, 0x936, 0x83f, 0xb35, 0xa3c, + 0x53c, 0x435, 0x73f, 0x636, 0x13a, 0x33 , 0x339, 0x230, + 0xe90, 0xf99, 0xc93, 0xd9a, 0xa96, 0xb9f, 0x895, 0x99c, + 0x69c, 0x795, 0x49f, 0x596, 0x29a, 0x393, 0x99 , 0x190, + 0xf00, 0xe09, 0xd03, 0xc0a, 0xb06, 0xa0f, 0x905, 0x80c, + 0x70c, 0x605, 0x50f, 0x406, 0x30a, 0x203, 0x109, 0x0 }; + + struct Edge + { + int edgeFlag : 12; // flag: 1, 2, 4, ... 2048 + int vert0; // 0-7 + int vert1; // 0-7 + }; + + const Edge edges[12] = + { + { 1, 0, 1 }, // edge 0 + { 2, 1, 2 }, // edge 1 + { 4, 2, 3 }, // ... + { 8, 3, 0 }, + { 16, 4, 5 }, + { 32, 5, 6 }, + { 64, 6, 7 }, + { 128, 7, 4 }, + { 256, 0, 4 }, + { 512, 1, 5 }, + { 1024, 2, 6 }, + { 2048, 3, 7 } // edge 11 + }; +} + +Vec3 Cube::LerpVertex(double isoLevel, int i1, int i2) const +{ + auto const Eps = 1e-5; + auto const v1 = sdf[i1]; + auto const v2 = sdf[i2]; + auto const& p1 = pos[i1]; + auto const& p2 = pos[i2]; + + if (abs(isoLevel - v1) < Eps) return p1; + if (abs(isoLevel - v2) < Eps) return p2; + if (abs(v1 - v2) < Eps) return p1; + + auto mu = (isoLevel - v1) / (v2 - v1); + return p1 + (p2 - p1)*mu; +} + +Cube::Cube(Rect3 const& space, Fun3s const& sdf) +{ + auto mx = space.min.x; + auto my = space.min.y; + auto mz = space.min.z; + + auto sx = space.size.x; + auto sy = space.size.y; + auto sz = space.size.z; + + pos[0] = space.min; + pos[1] = { mx + sx, my, mz }; + pos[2] = { mx + sx, my, mz + sz }; + pos[3] = { mx, my, mz + sz }; + pos[4] = { mx, my + sy, mz }; + pos[5] = { mx + sx, my + sy, mz }; + pos[6] = { mx + sx, my + sy, mz + sz }; + pos[7] = { mx, my + sy, mz + sz }; + + for (auto i = 0; i < 8; ++i) + { + auto sd = sdf(pos[i]); + if (sd == 0) sd += 1e-6; + this->sdf[i] = sd; + } +} + +int Cube::SignConfig(double isoLevel) const +{ + auto edgeIndex = 0; + + for (auto i = 0; i < 8; ++i) + { + if (sdf[i] < isoLevel) + { + edgeIndex |= 1 << i; + } + } + + return edgeIndex; +} + +IntersectInfo Cube::Intersect(double iso) const +{ + // idea: + // from signs at 8 corners of cube a sign configuration (256 possible ones) is computed + // this configuration can be used to index into a table that tells which of the 12 edges are intersected + // find vertices adjacent to edges and interpolate cut vertex and store it in IntersectionInfo object + + IntersectInfo intersect; + intersect.signConfig = SignConfig(iso); + + for (auto e = 0; e<12; ++e) + { + if (signConfigToIntersectedEdges[intersect.signConfig] & edges[e].edgeFlag) + { + auto v0 = edges[e].vert0; + auto v1 = edges[e].vert1; + auto vert = LerpVertex(iso, v0, v1); + intersect.edgeVertIndices[e] = vert; + } + } + + return intersect; +} diff --git a/external/MeshReconstruction/lib/Cube.h b/external/MeshReconstruction/lib/Cube.h new file mode 100644 index 0000000..b5dd1fc --- /dev/null +++ b/external/MeshReconstruction/lib/Cube.h @@ -0,0 +1,30 @@ +#pragma once +#include "DataStructs.h" + +namespace MeshReconstruction +{ + struct IntersectInfo + { + // 0 - 255 + int signConfig; + + // If it exists, vertex on edge i is stored at position i. + // For edge numbering and location see numberings.png. + std::array edgeVertIndices; + }; + + class Cube + { + Vec3 pos[8]; + double sdf[8]; + + Vec3 LerpVertex(double isoLevel, int i1, int i2) const; + int SignConfig(double isoLevel) const; + + public: + Cube(Rect3 const& space, Fun3s const& sdf); + + // Find the vertices where the surface intersects the cube. + IntersectInfo Intersect(double isoLevel = 0) const; + }; +} \ No newline at end of file diff --git a/external/MeshReconstruction/lib/DataStructs.h b/external/MeshReconstruction/lib/DataStructs.h new file mode 100644 index 0000000..9a38a9f --- /dev/null +++ b/external/MeshReconstruction/lib/DataStructs.h @@ -0,0 +1,57 @@ +#pragma once +#include +#include +#include +#include + +namespace MeshReconstruction +{ + struct Vec3 + { + double x, y, z; + + Vec3 operator+(Vec3 const& o) const + { + return { x + o.x, y + o.y, z + o.z }; + } + + Vec3 operator-(Vec3 const& o) const + { + return { x - o.x, y - o.y, z - o.z }; + } + + Vec3 operator*(double c) const + { + return { c*x, c*y, c*z }; + } + + double Norm() const + { + return sqrt(x*x + y*y + z*z); + } + + Vec3 Normalized() const + { + auto n = Norm(); + return { x / n, y / n, z / n }; + } + }; + + struct Rect3 + { + Vec3 min; + Vec3 size; + }; + + using Triangle = std::array; + + struct Mesh + { + std::vector vertices; + std::vector triangles; + std::vector vertexNormals; + }; + + using Fun3s = std::function; + using Fun3v = std::function; +} diff --git a/external/MeshReconstruction/lib/IO.cpp b/external/MeshReconstruction/lib/IO.cpp new file mode 100644 index 0000000..dd145cb --- /dev/null +++ b/external/MeshReconstruction/lib/IO.cpp @@ -0,0 +1,53 @@ +#include "IO.h" +#include +using namespace std; + +void MeshReconstruction::WriteObjFile(Mesh const& mesh, string const& fileName) +{ + // FILE faster than streams. + + FILE* file; + //auto status = fopen_s(&file, fileName.c_str(), "w"); + //if (status != 0) + //{ + // throw runtime_error("Could not write obj file."); + //} + file = fopen(fileName.c_str(), "w"); + if (file == NULL) + { + throw runtime_error("Could not write obj file."); + } + + // write stats + fprintf(file, "# %d vertices, %d triangles\n\n", + static_cast(mesh.vertices.size()), + static_cast(mesh.triangles.size())); + + // vertices + for (auto vi = 0; vi < mesh.vertices.size(); ++vi) + { + auto const& v = mesh.vertices.at(vi); + fprintf(file, "v %f %f %f\n", v.x, v.y, v.z); + } + + // vertex normals + fprintf(file, "\n"); + for (auto ni = 0; ni < mesh.vertices.size(); ++ni) + { + auto const& vn = mesh.vertexNormals.at(ni); + fprintf(file, "vn %f %f %f\n", vn.x, vn.y, vn.z); + } + + // triangles (1-based) + fprintf(file, "\n"); + for (auto ti = 0; ti < mesh.triangles.size(); ++ti) + { + auto const& t = mesh.triangles.at(ti); + fprintf(file, "f %d//%d %d//%d %d//%d\n", + t[0] + 1, t[0] + 1, + t[1] + 1, t[1] + 1, + t[2] + 1, t[2] + 1); + } + + fclose(file); +} diff --git a/external/MeshReconstruction/lib/IO.h b/external/MeshReconstruction/lib/IO.h new file mode 100644 index 0000000..7d5b949 --- /dev/null +++ b/external/MeshReconstruction/lib/IO.h @@ -0,0 +1,9 @@ +#pragma once +#include +#include "DataStructs.h" + +namespace MeshReconstruction +{ + /// Writes a mesh to a file in obj format. + void WriteObjFile(Mesh const& mesh, std::string const& file); +} \ No newline at end of file diff --git a/external/MeshReconstruction/lib/MeshReconstruction.cpp b/external/MeshReconstruction/lib/MeshReconstruction.cpp new file mode 100644 index 0000000..6640582 --- /dev/null +++ b/external/MeshReconstruction/lib/MeshReconstruction.cpp @@ -0,0 +1,78 @@ +#include "MeshReconstruction.h" +#include "Cube.h" +#include "Triangulation.h" + +using namespace MeshReconstruction; +using namespace std; + +// Adapted from here: http://paulbourke.net/geometry/polygonise/ + +namespace +{ + Vec3 NumGrad(Fun3s const& f, Vec3 const& p) + { + auto const Eps = 1e-6; + Vec3 epsX{ Eps, 0, 0 }, epsY{ 0, Eps, 0 }, epsZ{ 0, 0, Eps }; + auto gx = (f(p + epsX) - f(p - epsX)) / 2; + auto gy = (f(p + epsY) - f(p - epsY)) / 2; + auto gz = (f(p + epsZ) - f(p - epsZ)) / 2; + return { gx, gy, gz }; + } +} + +Mesh MeshReconstruction::MarchCube(Fun3s const& sdf, Rect3 const& domain) +{ + auto const NumCubes = 50; + auto cubeSize = domain.size * (1.0 / NumCubes); + + return MarchCube(sdf, domain, cubeSize); +} + +Mesh MeshReconstruction::MarchCube( + Fun3s const& sdf, + Rect3 const& domain, + Vec3 const& cubeSize, + double isoLevel, + Fun3v sdfGrad) +{ + // Default value. + sdfGrad = sdfGrad == nullptr + ? [&sdf](Vec3 const& p) { return NumGrad(sdf, p); } + : sdfGrad; + + auto const NumX = static_cast(ceil(domain.size.x / cubeSize.x)); + auto const NumY = static_cast(ceil(domain.size.y / cubeSize.y)); + auto const NumZ = static_cast(ceil(domain.size.z / cubeSize.z)); + + auto const HalfCubeDiag = cubeSize.Norm() / 2.0; + auto const HalfCubeSize = cubeSize * 0.5; + + Mesh mesh; + + for (auto ix = 0; ix < NumX; ++ix) + { + auto x = domain.min.x + ix * cubeSize.x; + + for (auto iy = 0; iy < NumY; ++iy) + { + auto y = domain.min.y + iy * cubeSize.y; + + for (auto iz = 0; iz < NumZ; ++iz) + { + auto z = domain.min.z + iz * cubeSize.z; + Vec3 min{ x, y, z }; + + // Process only if cube lies within narrow band around surface. + auto cubeCenter = min + HalfCubeSize; + auto dist = abs(sdf(cubeCenter) - isoLevel); + if (dist > HalfCubeDiag) continue; + + Cube cube({ min, cubeSize }, sdf); + auto intersect = cube.Intersect(isoLevel); + Triangulate(intersect, sdfGrad, mesh); + } + } + } + + return mesh; +} diff --git a/external/MeshReconstruction/lib/MeshReconstruction.h b/external/MeshReconstruction/lib/MeshReconstruction.h new file mode 100644 index 0000000..2c231a5 --- /dev/null +++ b/external/MeshReconstruction/lib/MeshReconstruction.h @@ -0,0 +1,27 @@ +#pragma once +#include "DataStructs.h" + +namespace MeshReconstruction +{ + /// Reconstructs a triangle mesh from a given signed distance function using Marching Cubes. + /// @param sdf The Signed Distance Function. + /// @param domain Domain of reconstruction. + /// @returns The reconstructed mesh. + Mesh MarchCube( + Fun3s const& sdf, + Rect3 const& domain); + + /// Reconstructs a triangle mesh from a given signed distance function using Marching Cubes. + /// @param sdf The Signed Distance Function. + /// @param domain Domain of reconstruction. + /// @param cubeSize Size of marching cubes. Smaller cubes yields meshes of higher resolution. + /// @param isoLevel Level set of the SDF for which triangulation should be done. Changing this value moves the reconstructed surface. + /// @param sdfGrad Gradient of the SDF which yields the vertex normals of the reconstructed mesh. If none is provided a numerical approximation is used. + /// @returns The reconstructed mesh. + Mesh MarchCube( + Fun3s const& sdf, + Rect3 const& domain, + Vec3 const& cubeSize, + double isoLevel = 0, + Fun3v sdfGrad = nullptr); +} \ No newline at end of file diff --git a/external/MeshReconstruction/lib/Triangulation.cpp b/external/MeshReconstruction/lib/Triangulation.cpp new file mode 100644 index 0000000..a77c85f --- /dev/null +++ b/external/MeshReconstruction/lib/Triangulation.cpp @@ -0,0 +1,301 @@ +#include "Triangulation.h" + +namespace +{ + // Indices into vertex buffer (0 - 11). + // Three successive entries make up one triangle. + // -1 means unused. + const int signConfigToTriangles[256][16] = + { { -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 1, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 8, 3, 9, 8, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 3, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 2, 10, 0, 2, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 8, 3, 2, 10, 8, 10, 9, 8, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 11, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 11, 2, 8, 11, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 9, 0, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 11, 2, 1, 9, 11, 9, 8, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 10, 1, 11, 10, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 10, 1, 0, 8, 10, 8, 11, 10, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 9, 0, 3, 11, 9, 11, 10, 9, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 8, 10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 3, 0, 7, 3, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 1, 9, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 1, 9, 4, 7, 1, 7, 3, 1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 10, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 4, 7, 3, 0, 4, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 2, 10, 9, 0, 2, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 10, 9, 2, 9, 7, 2, 7, 3, 7, 9, 4, -1, -1, -1, -1 }, + { 8, 4, 7, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 11, 4, 7, 11, 2, 4, 2, 0, 4, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 0, 1, 8, 4, 7, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 7, 11, 9, 4, 11, 9, 11, 2, 9, 2, 1, -1, -1, -1, -1 }, + { 3, 10, 1, 3, 11, 10, 7, 8, 4, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 11, 10, 1, 4, 11, 1, 0, 4, 7, 11, 4, -1, -1, -1, -1 }, + { 4, 7, 8, 9, 0, 11, 9, 11, 10, 11, 0, 3, -1, -1, -1, -1 }, + { 4, 7, 11, 4, 11, 9, 9, 11, 10, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 5, 4, 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 5, 4, 1, 5, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 5, 4, 8, 3, 5, 3, 1, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 10, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 0, 8, 1, 2, 10, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 2, 10, 5, 4, 2, 4, 0, 2, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 10, 5, 3, 2, 5, 3, 5, 4, 3, 4, 8, -1, -1, -1, -1 }, + { 9, 5, 4, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 11, 2, 0, 8, 11, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 5, 4, 0, 1, 5, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 1, 5, 2, 5, 8, 2, 8, 11, 4, 8, 5, -1, -1, -1, -1 }, + { 10, 3, 11, 10, 1, 3, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 9, 5, 0, 8, 1, 8, 10, 1, 8, 11, 10, -1, -1, -1, -1 }, + { 5, 4, 0, 5, 0, 11, 5, 11, 10, 11, 0, 3, -1, -1, -1, -1 }, + { 5, 4, 8, 5, 8, 10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 7, 8, 5, 7, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 3, 0, 9, 5, 3, 5, 7, 3, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 7, 8, 0, 1, 7, 1, 5, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 7, 8, 9, 5, 7, 10, 1, 2, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 1, 2, 9, 5, 0, 5, 3, 0, 5, 7, 3, -1, -1, -1, -1 }, + { 8, 0, 2, 8, 2, 5, 8, 5, 7, 10, 5, 2, -1, -1, -1, -1 }, + { 2, 10, 5, 2, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 7, 9, 5, 7, 8, 9, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 5, 7, 9, 7, 2, 9, 2, 0, 2, 7, 11, -1, -1, -1, -1 }, + { 2, 3, 11, 0, 1, 8, 1, 7, 8, 1, 5, 7, -1, -1, -1, -1 }, + { 11, 2, 1, 11, 1, 7, 7, 1, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 5, 8, 8, 5, 7, 10, 1, 3, 10, 3, 11, -1, -1, -1, -1 }, + { 5, 7, 0, 5, 0, 9, 7, 11, 0, 1, 0, 10, 11, 10, 0, -1 }, + { 11, 10, 0, 11, 0, 3, 10, 5, 0, 8, 0, 7, 5, 7, 0, -1 }, + { 11, 10, 5, 7, 11, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 3, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 0, 1, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 8, 3, 1, 9, 8, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 6, 5, 2, 6, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 6, 5, 1, 2, 6, 3, 0, 8, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 6, 5, 9, 0, 6, 0, 2, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 9, 8, 5, 8, 2, 5, 2, 6, 3, 2, 8, -1, -1, -1, -1 }, + { 2, 3, 11, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 11, 0, 8, 11, 2, 0, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 1, 9, 2, 3, 11, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 10, 6, 1, 9, 2, 9, 11, 2, 9, 8, 11, -1, -1, -1, -1 }, + { 6, 3, 11, 6, 5, 3, 5, 1, 3, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 11, 0, 11, 5, 0, 5, 1, 5, 11, 6, -1, -1, -1, -1 }, + { 3, 11, 6, 0, 3, 6, 0, 6, 5, 0, 5, 9, -1, -1, -1, -1 }, + { 6, 5, 9, 6, 9, 11, 11, 9, 8, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 10, 6, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 3, 0, 4, 7, 3, 6, 5, 10, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 9, 0, 5, 10, 6, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 6, 5, 1, 9, 7, 1, 7, 3, 7, 9, 4, -1, -1, -1, -1 }, + { 6, 1, 2, 6, 5, 1, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 5, 5, 2, 6, 3, 0, 4, 3, 4, 7, -1, -1, -1, -1 }, + { 8, 4, 7, 9, 0, 5, 0, 6, 5, 0, 2, 6, -1, -1, -1, -1 }, + { 7, 3, 9, 7, 9, 4, 3, 2, 9, 5, 9, 6, 2, 6, 9, -1 }, + { 3, 11, 2, 7, 8, 4, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 10, 6, 4, 7, 2, 4, 2, 0, 2, 7, 11, -1, -1, -1, -1 }, + { 0, 1, 9, 4, 7, 8, 2, 3, 11, 5, 10, 6, -1, -1, -1, -1 }, + { 9, 2, 1, 9, 11, 2, 9, 4, 11, 7, 11, 4, 5, 10, 6, -1 }, + { 8, 4, 7, 3, 11, 5, 3, 5, 1, 5, 11, 6, -1, -1, -1, -1 }, + { 5, 1, 11, 5, 11, 6, 1, 0, 11, 7, 11, 4, 0, 4, 11, -1 }, + { 0, 5, 9, 0, 6, 5, 0, 3, 6, 11, 6, 3, 8, 4, 7, -1 }, + { 6, 5, 9, 6, 9, 11, 4, 7, 9, 7, 11, 9, -1, -1, -1, -1 }, + { 10, 4, 9, 6, 4, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 10, 6, 4, 9, 10, 0, 8, 3, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 0, 1, 10, 6, 0, 6, 4, 0, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 3, 1, 8, 1, 6, 8, 6, 4, 6, 1, 10, -1, -1, -1, -1 }, + { 1, 4, 9, 1, 2, 4, 2, 6, 4, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 0, 8, 1, 2, 9, 2, 4, 9, 2, 6, 4, -1, -1, -1, -1 }, + { 0, 2, 4, 4, 2, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 3, 2, 8, 2, 4, 4, 2, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 4, 9, 10, 6, 4, 11, 2, 3, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 2, 2, 8, 11, 4, 9, 10, 4, 10, 6, -1, -1, -1, -1 }, + { 3, 11, 2, 0, 1, 6, 0, 6, 4, 6, 1, 10, -1, -1, -1, -1 }, + { 6, 4, 1, 6, 1, 10, 4, 8, 1, 2, 1, 11, 8, 11, 1, -1 }, + { 9, 6, 4, 9, 3, 6, 9, 1, 3, 11, 6, 3, -1, -1, -1, -1 }, + { 8, 11, 1, 8, 1, 0, 11, 6, 1, 9, 1, 4, 6, 4, 1, -1 }, + { 3, 11, 6, 3, 6, 0, 0, 6, 4, -1, -1, -1, -1, -1, -1, -1 }, + { 6, 4, 8, 11, 6, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 7, 10, 6, 7, 8, 10, 8, 9, 10, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 7, 3, 0, 10, 7, 0, 9, 10, 6, 7, 10, -1, -1, -1, -1 }, + { 10, 6, 7, 1, 10, 7, 1, 7, 8, 1, 8, 0, -1, -1, -1, -1 }, + { 10, 6, 7, 10, 7, 1, 1, 7, 3, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 6, 1, 6, 8, 1, 8, 9, 8, 6, 7, -1, -1, -1, -1 }, + { 2, 6, 9, 2, 9, 1, 6, 7, 9, 0, 9, 3, 7, 3, 9, -1 }, + { 7, 8, 0, 7, 0, 6, 6, 0, 2, -1, -1, -1, -1, -1, -1, -1 }, + { 7, 3, 2, 6, 7, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 3, 11, 10, 6, 8, 10, 8, 9, 8, 6, 7, -1, -1, -1, -1 }, + { 2, 0, 7, 2, 7, 11, 0, 9, 7, 6, 7, 10, 9, 10, 7, -1 }, + { 1, 8, 0, 1, 7, 8, 1, 10, 7, 6, 7, 10, 2, 3, 11, -1 }, + { 11, 2, 1, 11, 1, 7, 10, 6, 1, 6, 7, 1, -1, -1, -1, -1 }, + { 8, 9, 6, 8, 6, 7, 9, 1, 6, 11, 6, 3, 1, 3, 6, -1 }, + { 0, 9, 1, 11, 6, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 7, 8, 0, 7, 0, 6, 3, 11, 0, 11, 6, 0, -1, -1, -1, -1 }, + { 7, 11, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 7, 6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 0, 8, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 1, 9, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 1, 9, 8, 3, 1, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 1, 2, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 10, 3, 0, 8, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 9, 0, 2, 10, 9, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 6, 11, 7, 2, 10, 3, 10, 8, 3, 10, 9, 8, -1, -1, -1, -1 }, + { 7, 2, 3, 6, 2, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 7, 0, 8, 7, 6, 0, 6, 2, 0, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 7, 6, 2, 3, 7, 0, 1, 9, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 6, 2, 1, 8, 6, 1, 9, 8, 8, 7, 6, -1, -1, -1, -1 }, + { 10, 7, 6, 10, 1, 7, 1, 3, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 7, 6, 1, 7, 10, 1, 8, 7, 1, 0, 8, -1, -1, -1, -1 }, + { 0, 3, 7, 0, 7, 10, 0, 10, 9, 6, 10, 7, -1, -1, -1, -1 }, + { 7, 6, 10, 7, 10, 8, 8, 10, 9, -1, -1, -1, -1, -1, -1, -1 }, + { 6, 8, 4, 11, 8, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 6, 11, 3, 0, 6, 0, 4, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 6, 11, 8, 4, 6, 9, 0, 1, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 4, 6, 9, 6, 3, 9, 3, 1, 11, 3, 6, -1, -1, -1, -1 }, + { 6, 8, 4, 6, 11, 8, 2, 10, 1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 10, 3, 0, 11, 0, 6, 11, 0, 4, 6, -1, -1, -1, -1 }, + { 4, 11, 8, 4, 6, 11, 0, 2, 9, 2, 10, 9, -1, -1, -1, -1 }, + { 10, 9, 3, 10, 3, 2, 9, 4, 3, 11, 3, 6, 4, 6, 3, -1 }, + { 8, 2, 3, 8, 4, 2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 4, 2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 9, 0, 2, 3, 4, 2, 4, 6, 4, 3, 8, -1, -1, -1, -1 }, + { 1, 9, 4, 1, 4, 2, 2, 4, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 1, 3, 8, 6, 1, 8, 4, 6, 6, 10, 1, -1, -1, -1, -1 }, + { 10, 1, 0, 10, 0, 6, 6, 0, 4, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 6, 3, 4, 3, 8, 6, 10, 3, 0, 3, 9, 10, 9, 3, -1 }, + { 10, 9, 4, 6, 10, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 9, 5, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 3, 4, 9, 5, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 0, 1, 5, 4, 0, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 11, 7, 6, 8, 3, 4, 3, 5, 4, 3, 1, 5, -1, -1, -1, -1 }, + { 9, 5, 4, 10, 1, 2, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 6, 11, 7, 1, 2, 10, 0, 8, 3, 4, 9, 5, -1, -1, -1, -1 }, + { 7, 6, 11, 5, 4, 10, 4, 2, 10, 4, 0, 2, -1, -1, -1, -1 }, + { 3, 4, 8, 3, 5, 4, 3, 2, 5, 10, 5, 2, 11, 7, 6, -1 }, + { 7, 2, 3, 7, 6, 2, 5, 4, 9, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 5, 4, 0, 8, 6, 0, 6, 2, 6, 8, 7, -1, -1, -1, -1 }, + { 3, 6, 2, 3, 7, 6, 1, 5, 0, 5, 4, 0, -1, -1, -1, -1 }, + { 6, 2, 8, 6, 8, 7, 2, 1, 8, 4, 8, 5, 1, 5, 8, -1 }, + { 9, 5, 4, 10, 1, 6, 1, 7, 6, 1, 3, 7, -1, -1, -1, -1 }, + { 1, 6, 10, 1, 7, 6, 1, 0, 7, 8, 7, 0, 9, 5, 4, -1 }, + { 4, 0, 10, 4, 10, 5, 0, 3, 10, 6, 10, 7, 3, 7, 10, -1 }, + { 7, 6, 10, 7, 10, 8, 5, 4, 10, 4, 8, 10, -1, -1, -1, -1 }, + { 6, 9, 5, 6, 11, 9, 11, 8, 9, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 6, 11, 0, 6, 3, 0, 5, 6, 0, 9, 5, -1, -1, -1, -1 }, + { 0, 11, 8, 0, 5, 11, 0, 1, 5, 5, 6, 11, -1, -1, -1, -1 }, + { 6, 11, 3, 6, 3, 5, 5, 3, 1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 10, 9, 5, 11, 9, 11, 8, 11, 5, 6, -1, -1, -1, -1 }, + { 0, 11, 3, 0, 6, 11, 0, 9, 6, 5, 6, 9, 1, 2, 10, -1 }, + { 11, 8, 5, 11, 5, 6, 8, 0, 5, 10, 5, 2, 0, 2, 5, -1 }, + { 6, 11, 3, 6, 3, 5, 2, 10, 3, 10, 5, 3, -1, -1, -1, -1 }, + { 5, 8, 9, 5, 2, 8, 5, 6, 2, 3, 8, 2, -1, -1, -1, -1 }, + { 9, 5, 6, 9, 6, 0, 0, 6, 2, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 5, 8, 1, 8, 0, 5, 6, 8, 3, 8, 2, 6, 2, 8, -1 }, + { 1, 5, 6, 2, 1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 3, 6, 1, 6, 10, 3, 8, 6, 5, 6, 9, 8, 9, 6, -1 }, + { 10, 1, 0, 10, 0, 6, 9, 5, 0, 5, 6, 0, -1, -1, -1, -1 }, + { 0, 3, 8, 5, 6, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 5, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 11, 5, 10, 7, 5, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 11, 5, 10, 11, 7, 5, 8, 3, 0, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 11, 7, 5, 10, 11, 1, 9, 0, -1, -1, -1, -1, -1, -1, -1 }, + { 10, 7, 5, 10, 11, 7, 9, 8, 1, 8, 3, 1, -1, -1, -1, -1 }, + { 11, 1, 2, 11, 7, 1, 7, 5, 1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 3, 1, 2, 7, 1, 7, 5, 7, 2, 11, -1, -1, -1, -1 }, + { 9, 7, 5, 9, 2, 7, 9, 0, 2, 2, 11, 7, -1, -1, -1, -1 }, + { 7, 5, 2, 7, 2, 11, 5, 9, 2, 3, 2, 8, 9, 8, 2, -1 }, + { 2, 5, 10, 2, 3, 5, 3, 7, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 2, 0, 8, 5, 2, 8, 7, 5, 10, 2, 5, -1, -1, -1, -1 }, + { 9, 0, 1, 5, 10, 3, 5, 3, 7, 3, 10, 2, -1, -1, -1, -1 }, + { 9, 8, 2, 9, 2, 1, 8, 7, 2, 10, 2, 5, 7, 5, 2, -1 }, + { 1, 3, 5, 3, 7, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 7, 0, 7, 1, 1, 7, 5, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 0, 3, 9, 3, 5, 5, 3, 7, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 8, 7, 5, 9, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 8, 4, 5, 10, 8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1 }, + { 5, 0, 4, 5, 11, 0, 5, 10, 11, 11, 3, 0, -1, -1, -1, -1 }, + { 0, 1, 9, 8, 4, 10, 8, 10, 11, 10, 4, 5, -1, -1, -1, -1 }, + { 10, 11, 4, 10, 4, 5, 11, 3, 4, 9, 4, 1, 3, 1, 4, -1 }, + { 2, 5, 1, 2, 8, 5, 2, 11, 8, 4, 5, 8, -1, -1, -1, -1 }, + { 0, 4, 11, 0, 11, 3, 4, 5, 11, 2, 11, 1, 5, 1, 11, -1 }, + { 0, 2, 5, 0, 5, 9, 2, 11, 5, 4, 5, 8, 11, 8, 5, -1 }, + { 9, 4, 5, 2, 11, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 5, 10, 3, 5, 2, 3, 4, 5, 3, 8, 4, -1, -1, -1, -1 }, + { 5, 10, 2, 5, 2, 4, 4, 2, 0, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 10, 2, 3, 5, 10, 3, 8, 5, 4, 5, 8, 0, 1, 9, -1 }, + { 5, 10, 2, 5, 2, 4, 1, 9, 2, 9, 4, 2, -1, -1, -1, -1 }, + { 8, 4, 5, 8, 5, 3, 3, 5, 1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 4, 5, 1, 0, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 8, 4, 5, 8, 5, 3, 9, 0, 5, 0, 3, 5, -1, -1, -1, -1 }, + { 9, 4, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 11, 7, 4, 9, 11, 9, 10, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 8, 3, 4, 9, 7, 9, 11, 7, 9, 10, 11, -1, -1, -1, -1 }, + { 1, 10, 11, 1, 11, 4, 1, 4, 0, 7, 4, 11, -1, -1, -1, -1 }, + { 3, 1, 4, 3, 4, 8, 1, 10, 4, 7, 4, 11, 10, 11, 4, -1 }, + { 4, 11, 7, 9, 11, 4, 9, 2, 11, 9, 1, 2, -1, -1, -1, -1 }, + { 9, 7, 4, 9, 11, 7, 9, 1, 11, 2, 11, 1, 0, 8, 3, -1 }, + { 11, 7, 4, 11, 4, 2, 2, 4, 0, -1, -1, -1, -1, -1, -1, -1 }, + { 11, 7, 4, 11, 4, 2, 8, 3, 4, 3, 2, 4, -1, -1, -1, -1 }, + { 2, 9, 10, 2, 7, 9, 2, 3, 7, 7, 4, 9, -1, -1, -1, -1 }, + { 9, 10, 7, 9, 7, 4, 10, 2, 7, 8, 7, 0, 2, 0, 7, -1 }, + { 3, 7, 10, 3, 10, 2, 7, 4, 10, 1, 10, 0, 4, 0, 10, -1 }, + { 1, 10, 2, 8, 7, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 9, 1, 4, 1, 7, 7, 1, 3, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 9, 1, 4, 1, 7, 0, 8, 1, 8, 7, 1, -1, -1, -1, -1 }, + { 4, 0, 3, 7, 4, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 4, 8, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 10, 8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 0, 9, 3, 9, 11, 11, 9, 10, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 1, 10, 0, 10, 8, 8, 10, 11, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 1, 10, 11, 3, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 2, 11, 1, 11, 9, 9, 11, 8, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 0, 9, 3, 9, 11, 1, 2, 9, 2, 11, 9, -1, -1, -1, -1 }, + { 0, 2, 11, 8, 0, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 3, 2, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 3, 8, 2, 8, 10, 10, 8, 9, -1, -1, -1, -1, -1, -1, -1 }, + { 9, 10, 2, 0, 9, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 2, 3, 8, 2, 8, 10, 0, 1, 8, 1, 10, 8, -1, -1, -1, -1 }, + { 1, 10, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 1, 3, 8, 9, 1, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 9, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { 0, 3, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }, + { -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 } }; +} + +/// Given a grid cube and an isolevel the triangles (5 max) +/// required to represent the isosurface in the cube are computed. +void MeshReconstruction::Triangulate( + IntersectInfo const& intersect, + Fun3v const& grad, + Mesh& mesh) +{ + // Cube is entirely in/out of the surface. Generate no triangles. + if (intersect.signConfig == 0 || intersect.signConfig == 255) return; + + auto const& tri = signConfigToTriangles[intersect.signConfig]; + + for (auto i = 0; tri[i] != -1; i += 3) + { + auto const& v0 = intersect.edgeVertIndices[tri[i]]; + auto const& v1 = intersect.edgeVertIndices[tri[i + 1]]; + auto const& v2 = intersect.edgeVertIndices[tri[i + 2]]; + + mesh.vertices.push_back(v0); + mesh.vertices.push_back(v1); + mesh.vertices.push_back(v2); + + auto normal0 = grad(v0).Normalized(); + auto normal1 = grad(v1).Normalized(); + auto normal2 = grad(v2).Normalized(); + + mesh.vertexNormals.push_back(normal0); + mesh.vertexNormals.push_back(normal1); + mesh.vertexNormals.push_back(normal2); + + auto last = static_cast(mesh.vertices.size() - 1); + + mesh.triangles.push_back({ last - 2, last - 1, last }); + } +} \ No newline at end of file diff --git a/external/MeshReconstruction/lib/Triangulation.h b/external/MeshReconstruction/lib/Triangulation.h new file mode 100644 index 0000000..2f65007 --- /dev/null +++ b/external/MeshReconstruction/lib/Triangulation.h @@ -0,0 +1,11 @@ +#pragma once +#include "Cube.h" +#include "DataStructs.h" + +namespace MeshReconstruction +{ + void Triangulate( + IntersectInfo const& intersect, + Fun3v const& grad, + Mesh& mesh); +} \ No newline at end of file diff --git a/external/MeshReconstruction/numberings.png b/external/MeshReconstruction/numberings.png new file mode 100644 index 0000000000000000000000000000000000000000..8c1992d31d14405a14bf12b31602762bd330b91b GIT binary patch literal 2704 zcmbuAi#JtiAIBd#&L2vV{%EMD7BMw zs+k=3SE53ckfCkP<~Zzt8vk+iUGJu6uu2 zsiLKV5L)SAZ|jDToDlx^D9OXGrFOzygyfN{vxgl;FOs4Nioz)hqbNjIBuSA3MdB2R zQ6!=_36dfRiohuXqX*D7jKUFp6(cE(pfH@mFbYGUL?Mzw1ch)4VHAP_ zv_TrQ;4+*>bRT*VB#DzGMv{nb3l%|-1WpndNg$d6HgST)aT3Q!9MMp479&UuCozn~ z5HP}35)mZANraIIx&k$b0W?qo7VJS|&<1JHg3E|DMAxuzg1`s@(f*(OTGh7%Y@UQt01cFI6gZ$UXoECpAv!sF z8){e>jw3oq@CR+7!Y~{|kSo{)3fROEh9k%kl7;|)3ywq3;1;5UJOC4JLma>ahQT3F zgBU==O~3*UXbjpQjpz~4r(qjvSO_KtL4rSM3l#=0%F^3F+g%zkOq8DI(vWDVrQGT9 zE=5T*E~P_Hd&w}3yySr%{t_1LV5t*GgBDB)!UIp^2uTpCMW_g&RD_}t@=_(b6|o1BV_S`&>rhb=Pxwg~=WbIHlF@;@eiNSaM_ zZ=Ckm6RNyvGVqwN>itjr=91L{*M>R&()i+Xuh7Sbgkn~AD~I<&|I5v$HPb8lqmHq* zTt6eCKBP#4ZEh_#tp58(tEkQXQG|9&gmy|sQtF`4Q!&+fwL{g=!ymOeZQV+J1}RM+ z?r&PRd%oU~Pt-e_8>JY8U#WN0f17TcG^)poRd5>G>R(_UB|jwCTpv=lN5UVOTE_Ix zt-11)LAW%sB0D{DYqC7poa`6*m(M;-dGVd_ecXoU`PD^1dS|%xoJ8|>PmQCN((HkT z)KFe^oP&6iu+l1^^U$7KIl(ONQ_{dacg!vwQI+}g-W=ay^+mwZ&9kB zypl03H-1EGy(P2o;V2<04mta~8h`YD0$3b)=C^JOzvtX+xb}?MYmSZH`+puDl$r8RY%JAxUkGFG8T+>FMrF?1 zY));b3o&;qdTogM?{r8}_wgD_F1tOx zvpuLXcKef^da|bIdWVwW`j}hzx!4&ejgga+b7BIUh@E-+wEfN6sUA_C)v3JH%KEhY zLtpvKRPPQm+RxTgv}@W$_IFBW%3r_ZIu1%yo!Gq}4R>7@dkid=?Ek$oY~#F2X3Sf6 z7Ngy5`E36-p^Nb4HLMmpKg9z=Kzq2!DzVmQls!Mv5 zBq8??_Z>5T39h;%9;s!rgh8*;Cb{#$*6miME|P>tiPB%vrN8RiW~SV8yCWfW9#8LE zPa52IUM|QKEJz=fFV3>Bo1EtM@faUw>r9eHkMh>ve)1;7wZNAhxbXFmxBGMUVq6DD z&^WU@D80Ay`kyBXb^A^ah31F1ad^kg`fD4e3#&XxuY+}CRmQ@1<)h`|NK(qGyX4b9 zYr3(^`p9#JYE=KHDSV!YoiD8F`nf+cMTxNaZLCIrl+2`0|V8LIfg|p}9)s&_#^mqy~zY({nhz*Vw;#{_` zlUbvQ@O4GjMcE;tMqfsj*o^&^a2uoD&gst|``A{o=15j^@XdR;8HHgzjL-n$l-krw@^WX0^3Cqmu_?z#(Veyp9#;_eC*hvmC5AK8tK zS6T6F?&v=qU%ISiGn%;Lc5C%B1Zsy^_lhz)mx~oK!FRqQ2OFvUbIfNl_Vk^|AwSJB zTyIL(Lg#V^-^@^5twFuIBe}%)Or(-(Ym&v`cE|Y7C(BFoy91AUF&RU0SzRex{8D05 z7402$9vogfrK_N$ob>T#l&hL?3Jf+iTc6(~gqg3Cl1Xa6!{kwkb zU!Qc|KT~>1Tt2B?9A3d)m*WzZ{Yo*!NF#3mW8ceFB0Zk=#h*Nz zSh;HaoP|K2!GpW@W^%eOyJ$u)EDZ$8H-@0`*~*$hiuroW_^rS>r=)r-OBR5F_=g0j`Nq) uC%M-rx#h}%1#NvxA1?TIwM6WgQgeu!=xJQEX@svUa|Ocn&0JZ9`2_gxi1!bE0vDb9 zp`swG;|X0(Cq^=vja2HE4CxyiSG&r}-qVEQG-VZaUPI+LY2@Q4Nkz8qu~Mtb$;myC z^Wu-WaF&2nO8BByHdj4Qx=sK}#07;FurT*1!=#PGxf~BU__>%PYF&0xY}Q6bCa8{- zN!SACnOb3TBy1Ao&IoF`(C&aV&OqwSGFA*J`04h4`BTuwS++n+4!;BHZ8>G6z|pPS zfz-M)xl~&Gu8rgk8TE1`S|b0=AJe8j%8|s@YfzISxEF(>JWckr?|#<~qP`xK!Fmaz z+fRONqkcWtF(8+WO@T~C_J(KP2ReygLDL%3=QL>LLTUU0?yu|o^S$61fz-E-&c#lB z%!JN|(gn)|U54nAuszx%z5ZQWvF67`ehN4lr)M6uT=x29g@D{wUhmkUSC45PuIsP` z-k;_S1rPm4m;V3UF!kp41Rnmc^O<6ko(;P;Jp=m2xFc-OVbop^{N}^7);k;NOfR4N z5?j~Wx}2@C&mr>_a;SK^}RQ+*&TO@ z&hgnP%c!9FG7}|vyOhA3VI3DN=)U||>C>2f^}b(j_GVp{v%OSlY%4721+nPwE4;#Y zShtJHZ~bLQB5xUu&3MV{cAvvB)O%AA_X5JeLgSNzA^M&^4Ve{{^yocf{T;ZzcqL-^ z{w%V-l#ucF-7|Ut;k_zu^J=&|{urB~%;LLMcf3?rdo;%{bGTfF&_M)|(>=mzXB_C@ z)&_33>}|}@KeDK;r$14fLw1K>8~)?B4b|`NIBJz^pp7~?-j(_&GF1guSn}e~6PHL% z5#pV<=pHO!D=d9tVId0J6;_as@X7e5MJk-Lu8g!3QbyL*z_iL-$blVREuHPtySlUq5s(|=tW5^ za@kmb#kHF~_-yUGeZ_!YEy^^IE0I!TQFxeeH=QZLWhpFDp__+EvgGXVCd+QFFXOnp zLVMc7qWvPDEtt+KM8D54$?m8PKWgp2zE`)*v@K5TktYw!-Z!ut7gg>I9DS(&nWI*? 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zi9Hz*%t(fS@iW%EE&5YBfRzuSrB_#Nk6jM_cXJcks<&hEe|7V$`H$7-)BX=o2fwqg zdzFueDIC8A1)19v;Vb~?pZVI`-6tf5UNMdFxj3{9Du)UtYRZ8>=3^{?4=a-t7u7|| zW0N=qMzT<|m5BJEWHu0LtY2>ju^^|Yz5!s{9{?QidmfK}R*Gp}4W+yXl;KzqPfly2^pAO8TI)&{s(x#vr@ zC@pVJlPmAR$4c-c$}dnY8_a9^zeu*~Tc-Rmj(^%2)wkdy{qwjIRd31uxpkQG6W{y; ugZ}etk`uwtq(NfJ|EGVvK6iM$e1z$Y!6HB7XM~3VKXOuvk`?0bgZ>Y1exVou literal 0 HcmV?d00001 diff --git a/notes_réparation_bac.txt b/notes_réparation_bac.txt new file mode 100644 index 0000000..9c54976 --- /dev/null +++ b/notes_réparation_bac.txt @@ -0,0 +1,5 @@ +Notes du TP de réparation de maillage par surface implicite de Mme Bac + +Fonction implicite f(x) = Σ(1,n)[αi φ(||X-Xi||) + …] + +φ(r) = r²ln(r) : fonction radiale, une par point, =0 au point diff --git a/src/hole_filling.cpp b/src/hole_filling.cpp new file mode 100644 index 0000000..3a980e3 --- /dev/null +++ b/src/hole_filling.cpp @@ -0,0 +1,58 @@ +#include "hole_filling.h" +#include "util.h" +#include + + +static std::vector> findHoles(MyMesh &mesh) { + std::vector> holes; + std::set ignore; + for (HalfedgeHandle it : mesh.halfedges()) { + if (mesh.is_boundary(it) + && ignore.find(it) == ignore.end()) { + holes.emplace_back(); + holes.back().push_back(it); + ignore.insert(it); + for (HalfedgeHandle it2 : HalfedgeLoopRange(mesh, it)) { + holes.back().push_back(it2); + ignore.insert(it2); + } + } + } + return holes; +} + + +void fillHoleDumb(MyMesh &mesh, std::vector &hole) { + mesh.request_vertex_status(); + mesh.request_edge_status(); + mesh.request_face_status(); + + Point center(0, 0, 0); + size_t length = 0; + for (HalfedgeHandle it : hole) { + VertexHandle vert = mesh.to_vertex_handle(it); + center += mesh.point(vert); + length++; + } + center /= length; + VertexHandle center_handle = mesh.new_vertex_dirty(center); + mesh.set_color(center_handle, mesh.default_color); + + for (HalfedgeHandle it : hole) { + mesh.add_face(mesh.from_vertex_handle(it), + mesh.to_vertex_handle(it), + center_handle); + } +} + + +void fillHolesDumb(MyMesh &mesh) { + mesh.holes = findHoles(mesh); + for (auto hole : mesh.holes) { + fillHoleDumb(mesh, hole); + } +} + + +void fillHolesImplicit(MyMesh &mesh) { +} diff --git a/src/hole_filling.h b/src/hole_filling.h new file mode 100644 index 0000000..aa213be --- /dev/null +++ b/src/hole_filling.h @@ -0,0 +1,13 @@ +#ifndef HOLE_FILLING_H +#define HOLE_FILLING_H + +#include "my_mesh.h" +#include + + +void fillHoleDumb(MyMesh &mesh, std::vector &hole); +void fillHolesDumb(MyMesh &mesh); +void fillHolesImplicit(MyMesh &mesh); + + +#endif \ No newline at end of file