Commit 8b829183 authored by Jiali Duan's avatar Jiali Duan Committed by Facebook GitHub Bot
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Marching Cubes cuda extension

Summary:
Torch CUDA extension for Marching Cubes
- MC involving 3 steps:
  - 1st forward pass to collect vertices and occupied state for each voxel
  - Compute compactVoxelArray to skip non-empty voxels
  - 2nd pass to genereate interpolated vertex positions and faces by marching through the grid
- In contrast to existing MC:
   - Bind each interpolated vertex with a global edge_id to address floating-point precision
   - Added deduplication process to remove redundant vertices and faces

Benchmarks (ms):

| N / V(^3)      | python          | C++             |   CUDA   | Speedup |
| 2 / 20          |    12176873  |       24338     |     4363   | 2790x/5x|
| 1 / 100          |     -             |    3070511     |   27126   |    113x    |
| 2 / 100          |     -             |    5968934     |   53129   |    112x    |
| 1 / 256          |     -             |  61278092     | 430900   |    142x    |
| 2 / 256          |     -             |125687930     | 856941   |    146x   |

Reviewed By: kjchalup

Differential Revision: D39644248

fbshipit-source-id: d679c0c79d67b98b235d12296f383d760a00042a
parent 9a0b0c2e
This diff is collapsed.
......@@ -23,17 +23,40 @@
// the points are within a volume.
//
// Returns:
// vertices: List of N FloatTensors of vertices
// faces: List of N LongTensors of faces
// vertices: (N_verts, 3) FloatTensor of vertices
// faces: (N_faces, 3) LongTensor of faces
// ids: (N_verts,) LongTensor used to identify each vertex and deduplication
// to avoid floating point precision issues.
// For Cuda, will be used to dedupe redundant vertices.
// For cpp implementation, this tensor is just a placeholder.
// CPU implementation
std::tuple<at::Tensor, at::Tensor> MarchingCubesCpu(
std::tuple<at::Tensor, at::Tensor, at::Tensor> MarchingCubesCpu(
const at::Tensor& vol,
const float isolevel);
// CUDA implementation
std::tuple<at::Tensor, at::Tensor, at::Tensor> MarchingCubesCuda(
const at::Tensor& vol,
const float isolevel);
// Implementation which is exposed
inline std::tuple<at::Tensor, at::Tensor> MarchingCubes(
inline std::tuple<at::Tensor, at::Tensor, at::Tensor> MarchingCubes(
const at::Tensor& vol,
const float isolevel) {
if (vol.is_cuda()) {
#ifdef WITH_CUDA
CHECK_CUDA(vol);
const int D = vol.size(0);
const int H = vol.size(1);
const int W = vol.size(2);
if (D > 1024 || H > 1024 || W > 1024) {
AT_ERROR("Maximum volume size allowed 1K x 1K x 1K");
}
return MarchingCubesCuda(vol.contiguous(), isolevel);
#else
AT_ERROR("Not compiled with GPU support.");
#endif
}
return MarchingCubesCpu(vol.contiguous(), isolevel);
}
......@@ -13,6 +13,7 @@
#include <unordered_map>
#include <vector>
#include "marching_cubes/marching_cubes_utils.h"
#include "marching_cubes/tables.h"
// Cpu implementation for Marching Cubes
// Args:
......@@ -21,10 +22,11 @@
// whether points are within a volume.
//
// Returns:
// vertices: a float tensor of shape (N, 3) for positions of the mesh
// faces: a long tensor of shape (N, 3) for indices of the face vertices
// vertices: a float tensor of shape (N_verts, 3) for positions of the mesh
// faces: a long tensor of shape (N_faces, 3) for indices of the face
// ids: a long tensor of shape (N_verts) as placeholder
//
std::tuple<at::Tensor, at::Tensor> MarchingCubesCpu(
std::tuple<at::Tensor, at::Tensor, at::Tensor> MarchingCubesCpu(
const at::Tensor& vol,
const float isolevel) {
// volume shapes
......@@ -48,7 +50,7 @@ std::tuple<at::Tensor, at::Tensor> MarchingCubesCpu(
for (int x = 0; x < W - 1; x++) {
Cube cube(x, y, z, vol_a, isolevel);
// Cube is entirely in/out of the surface
if (_FACE_TABLE[cube.cubeindex][0] == -1) {
if (_FACE_TABLE[cube.cubeindex][0] == 255) {
continue;
}
// store all boundary vertices that intersect with the edges
......@@ -58,7 +60,7 @@ std::tuple<at::Tensor, at::Tensor> MarchingCubesCpu(
std::vector<Vertex> ps;
// Interpolate the vertices where the surface intersects with the cube
for (int j = 0; _FACE_TABLE[cube.cubeindex][j] != -1; j++) {
for (int j = 0; _FACE_TABLE[cube.cubeindex][j] != 255; j++) {
const int e = _FACE_TABLE[cube.cubeindex][j];
interp_points[e] = cube.VertexInterp(isolevel, e, vol_a);
......@@ -95,6 +97,7 @@ std::tuple<at::Tensor, at::Tensor> MarchingCubesCpu(
const int n_vertices = verts.size();
const int64_t n_faces = (int64_t)faces.size() / 3;
auto vert_tensor = torch::zeros({n_vertices, 3}, torch::kFloat);
auto id_tensor = torch::zeros({n_vertices}, torch::kInt64); // placeholder
auto face_tensor = torch::zeros({n_faces, 3}, torch::kInt64);
auto vert_a = vert_tensor.accessor<float, 2>();
......@@ -111,5 +114,5 @@ std::tuple<at::Tensor, at::Tensor> MarchingCubesCpu(
face_a[i][2] = faces.at(i * 3 + 2);
}
return std::make_tuple(vert_tensor, face_tensor);
return std::make_tuple(vert_tensor, face_tensor, id_tensor);
}
......@@ -12,291 +12,11 @@
#include <cstdint>
#include <vector>
#include "ATen/core/TensorAccessor.h"
#include "marching_cubes/tables.h"
// EPS: Used to assess whether two float values are close
const float EPS = 1e-5;
// A table mapping from cubeindex to a list of face configurations.
// Each list contains at most 5 faces, where each face is represented with
// 3 consecutive numbers
// Table taken from http://paulbourke.net/geometry/polygonise/
const int _FACE_TABLE[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}};
// Table mapping each edge to the corresponding cube vertices
const int _EDGE_TO_VERTICES[12][2] = {
{0, 1},
{1, 5},
{4, 5},
{0, 4},
{2, 3},
{3, 7},
{6, 7},
{2, 6},
{0, 2},
{1, 3},
{5, 7},
{4, 6},
};
// Table mapping from 0-7 to v0-v7 in cube.vertices
const int _INDEX_TABLE[8] = {0, 1, 5, 4, 2, 3, 7, 6};
// Data structures for the marching cubes
struct Vertex {
// Constructor used when performing marching cube in each cell
......
/*
* Copyright (c) Meta Platforms, Inc. and affiliates.
* All rights reserved.
*
* This source code is licensed under the BSD-style license found in the
* LICENSE file in the root directory of this source tree.
*/
#pragma once
using uint = unsigned int;
// A table mapping from cubeindex to a list of face configurations.
// Each list contains at most 5 faces, where each face is represented with
// 3 consecutive numbers
// Table adapted from http://paulbourke.net/geometry/polygonise/
//
#define X 255
const unsigned char _FACE_TABLE[256][16] = {
{X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X},
{0, 8, 3, X, X, X, X, X, X, X, X, X, X, X, X, X},
{0, 1, 9, X, X, X, X, X, X, X, X, X, X, X, X, X},
{1, 8, 3, 9, 8, 1, X, X, X, X, X, X, X, X, X, X},
{1, 2, 10, X, X, X, X, X, X, X, X, X, X, X, X, X},
{0, 8, 3, 1, 2, 10, X, X, X, X, X, X, X, X, X, X},
{9, 2, 10, 0, 2, 9, X, X, X, X, X, X, X, X, X, X},
{2, 8, 3, 2, 10, 8, 10, 9, 8, X, X, X, X, X, X, X},
{3, 11, 2, X, X, X, X, X, X, X, X, X, X, X, X, X},
{0, 11, 2, 8, 11, 0, X, X, X, X, X, X, X, X, X, X},
{1, 9, 0, 2, 3, 11, X, X, X, X, X, X, X, X, X, X},
{1, 11, 2, 1, 9, 11, 9, 8, 11, X, X, X, X, X, X, X},
{3, 10, 1, 11, 10, 3, X, X, X, X, X, X, X, X, X, X},
{0, 10, 1, 0, 8, 10, 8, 11, 10, X, X, X, X, X, X, X},
{3, 9, 0, 3, 11, 9, 11, 10, 9, X, X, X, X, X, X, X},
{9, 8, 10, 10, 8, 11, X, X, X, X, X, X, X, X, X, X},
{4, 7, 8, X, X, X, X, X, X, X, X, X, X, X, X, X},
{4, 3, 0, 7, 3, 4, X, X, X, X, X, X, X, X, X, X},
{0, 1, 9, 8, 4, 7, X, X, X, X, X, X, X, X, X, X},
{4, 1, 9, 4, 7, 1, 7, 3, 1, X, X, X, X, X, X, X},
{1, 2, 10, 8, 4, 7, X, X, X, X, X, X, X, X, X, X},
{3, 4, 7, 3, 0, 4, 1, 2, 10, X, X, X, X, X, X, X},
{9, 2, 10, 9, 0, 2, 8, 4, 7, X, X, X, X, X, X, X},
{2, 10, 9, 2, 9, 7, 2, 7, 3, 7, 9, 4, X, X, X, X},
{8, 4, 7, 3, 11, 2, X, X, X, X, X, X, X, X, X, X},
{11, 4, 7, 11, 2, 4, 2, 0, 4, X, X, X, X, X, X, X},
{9, 0, 1, 8, 4, 7, 2, 3, 11, X, X, X, X, X, X, X},
{4, 7, 11, 9, 4, 11, 9, 11, 2, 9, 2, 1, X, X, X, X},
{3, 10, 1, 3, 11, 10, 7, 8, 4, X, X, X, X, X, X, X},
{1, 11, 10, 1, 4, 11, 1, 0, 4, 7, 11, 4, X, X, X, X},
{4, 7, 8, 9, 0, 11, 9, 11, 10, 11, 0, 3, X, X, X, X},
{4, 7, 11, 4, 11, 9, 9, 11, 10, X, X, X, X, X, X, X},
{9, 5, 4, X, X, X, X, X, X, X, X, X, X, X, X, X},
{9, 5, 4, 0, 8, 3, X, X, X, X, X, X, X, X, X, X},
{0, 5, 4, 1, 5, 0, X, X, X, X, X, X, X, X, X, X},
{8, 5, 4, 8, 3, 5, 3, 1, 5, X, X, X, X, X, X, X},
{1, 2, 10, 9, 5, 4, X, X, X, X, X, X, X, X, X, X},
{3, 0, 8, 1, 2, 10, 4, 9, 5, X, X, X, X, X, X, X},
{5, 2, 10, 5, 4, 2, 4, 0, 2, X, X, X, X, X, X, X},
{2, 10, 5, 3, 2, 5, 3, 5, 4, 3, 4, 8, X, X, X, X},
{9, 5, 4, 2, 3, 11, X, X, X, X, X, X, X, X, X, X},
{0, 11, 2, 0, 8, 11, 4, 9, 5, X, X, X, X, X, X, X},
{0, 5, 4, 0, 1, 5, 2, 3, 11, X, X, X, X, X, X, X},
{2, 1, 5, 2, 5, 8, 2, 8, 11, 4, 8, 5, X, X, X, X},
{10, 3, 11, 10, 1, 3, 9, 5, 4, X, X, X, X, X, X, X},
{4, 9, 5, 0, 8, 1, 8, 10, 1, 8, 11, 10, X, X, X, X},
{5, 4, 0, 5, 0, 11, 5, 11, 10, 11, 0, 3, X, X, X, X},
{5, 4, 8, 5, 8, 10, 10, 8, 11, X, X, X, X, X, X, X},
{9, 7, 8, 5, 7, 9, X, X, X, X, X, X, X, X, X, X},
{9, 3, 0, 9, 5, 3, 5, 7, 3, X, X, X, X, X, X, X},
{0, 7, 8, 0, 1, 7, 1, 5, 7, X, X, X, X, X, X, X},
{1, 5, 3, 3, 5, 7, X, X, X, X, X, X, X, X, X, X},
{9, 7, 8, 9, 5, 7, 10, 1, 2, X, X, X, X, X, X, X},
{10, 1, 2, 9, 5, 0, 5, 3, 0, 5, 7, 3, X, X, X, X},
{8, 0, 2, 8, 2, 5, 8, 5, 7, 10, 5, 2, X, X, X, X},
{2, 10, 5, 2, 5, 3, 3, 5, 7, X, X, X, X, X, X, X},
{7, 9, 5, 7, 8, 9, 3, 11, 2, X, X, X, X, X, X, X},
{9, 5, 7, 9, 7, 2, 9, 2, 0, 2, 7, 11, X, X, X, X},
{2, 3, 11, 0, 1, 8, 1, 7, 8, 1, 5, 7, X, X, X, X},
{11, 2, 1, 11, 1, 7, 7, 1, 5, X, X, X, X, X, X, X},
{9, 5, 8, 8, 5, 7, 10, 1, 3, 10, 3, 11, X, X, X, X},
{5, 7, 0, 5, 0, 9, 7, 11, 0, 1, 0, 10, 11, 10, 0, X},
{11, 10, 0, 11, 0, 3, 10, 5, 0, 8, 0, 7, 5, 7, 0, X},
{11, 10, 5, 7, 11, 5, X, X, X, X, X, X, X, X, X, X},
{10, 6, 5, X, X, X, X, X, X, X, X, X, X, X, X, X},
{0, 8, 3, 5, 10, 6, X, X, X, X, X, X, X, X, X, X},
{9, 0, 1, 5, 10, 6, X, X, X, X, X, X, X, X, X, X},
{1, 8, 3, 1, 9, 8, 5, 10, 6, X, X, X, X, X, X, X},
{1, 6, 5, 2, 6, 1, X, X, X, X, X, X, X, X, X, X},
{1, 6, 5, 1, 2, 6, 3, 0, 8, X, X, X, X, X, X, X},
{9, 6, 5, 9, 0, 6, 0, 2, 6, X, X, X, X, X, X, X},
{5, 9, 8, 5, 8, 2, 5, 2, 6, 3, 2, 8, X, X, X, X},
{2, 3, 11, 10, 6, 5, X, X, X, X, X, X, X, X, X, X},
{11, 0, 8, 11, 2, 0, 10, 6, 5, X, X, X, X, X, X, X},
{0, 1, 9, 2, 3, 11, 5, 10, 6, X, X, X, X, X, X, X},
{5, 10, 6, 1, 9, 2, 9, 11, 2, 9, 8, 11, X, X, X, X},
{6, 3, 11, 6, 5, 3, 5, 1, 3, X, X, X, X, X, X, X},
{0, 8, 11, 0, 11, 5, 0, 5, 1, 5, 11, 6, X, X, X, X},
{3, 11, 6, 0, 3, 6, 0, 6, 5, 0, 5, 9, X, X, X, X},
{6, 5, 9, 6, 9, 11, 11, 9, 8, X, X, X, X, X, X, X},
{5, 10, 6, 4, 7, 8, X, X, X, X, X, X, X, X, X, X},
{4, 3, 0, 4, 7, 3, 6, 5, 10, X, X, X, X, X, X, X},
{1, 9, 0, 5, 10, 6, 8, 4, 7, X, X, X, X, X, X, X},
{10, 6, 5, 1, 9, 7, 1, 7, 3, 7, 9, 4, X, X, X, X},
{6, 1, 2, 6, 5, 1, 4, 7, 8, X, X, X, X, X, X, X},
{1, 2, 5, 5, 2, 6, 3, 0, 4, 3, 4, 7, X, X, X, X},
{8, 4, 7, 9, 0, 5, 0, 6, 5, 0, 2, 6, X, X, X, X},
{7, 3, 9, 7, 9, 4, 3, 2, 9, 5, 9, 6, 2, 6, 9, X},
{3, 11, 2, 7, 8, 4, 10, 6, 5, X, X, X, X, X, X, X},
{5, 10, 6, 4, 7, 2, 4, 2, 0, 2, 7, 11, X, X, X, X},
{0, 1, 9, 4, 7, 8, 2, 3, 11, 5, 10, 6, X, X, X, X},
{9, 2, 1, 9, 11, 2, 9, 4, 11, 7, 11, 4, 5, 10, 6, X},
{8, 4, 7, 3, 11, 5, 3, 5, 1, 5, 11, 6, X, X, X, X},
{5, 1, 11, 5, 11, 6, 1, 0, 11, 7, 11, 4, 0, 4, 11, X},
{0, 5, 9, 0, 6, 5, 0, 3, 6, 11, 6, 3, 8, 4, 7, X},
{6, 5, 9, 6, 9, 11, 4, 7, 9, 7, 11, 9, X, X, X, X},
{10, 4, 9, 6, 4, 10, X, X, X, X, X, X, X, X, X, X},
{4, 10, 6, 4, 9, 10, 0, 8, 3, X, X, X, X, X, X, X},
{10, 0, 1, 10, 6, 0, 6, 4, 0, X, X, X, X, X, X, X},
{8, 3, 1, 8, 1, 6, 8, 6, 4, 6, 1, 10, X, X, X, X},
{1, 4, 9, 1, 2, 4, 2, 6, 4, X, X, X, X, X, X, X},
{3, 0, 8, 1, 2, 9, 2, 4, 9, 2, 6, 4, X, X, X, X},
{0, 2, 4, 4, 2, 6, X, X, X, X, X, X, X, X, X, X},
{8, 3, 2, 8, 2, 4, 4, 2, 6, X, X, X, X, X, X, X},
{10, 4, 9, 10, 6, 4, 11, 2, 3, X, X, X, X, X, X, X},
{0, 8, 2, 2, 8, 11, 4, 9, 10, 4, 10, 6, X, X, X, X},
{3, 11, 2, 0, 1, 6, 0, 6, 4, 6, 1, 10, X, X, X, X},
{6, 4, 1, 6, 1, 10, 4, 8, 1, 2, 1, 11, 8, 11, 1, X},
{9, 6, 4, 9, 3, 6, 9, 1, 3, 11, 6, 3, X, X, X, X},
{8, 11, 1, 8, 1, 0, 11, 6, 1, 9, 1, 4, 6, 4, 1, X},
{3, 11, 6, 3, 6, 0, 0, 6, 4, X, X, X, X, X, X, X},
{6, 4, 8, 11, 6, 8, X, X, X, X, X, X, X, X, X, X},
{7, 10, 6, 7, 8, 10, 8, 9, 10, X, X, X, X, X, X, X},
{0, 7, 3, 0, 10, 7, 0, 9, 10, 6, 7, 10, X, X, X, X},
{10, 6, 7, 1, 10, 7, 1, 7, 8, 1, 8, 0, X, X, X, X},
{10, 6, 7, 10, 7, 1, 1, 7, 3, X, X, X, X, X, X, X},
{1, 2, 6, 1, 6, 8, 1, 8, 9, 8, 6, 7, X, X, X, X},
{2, 6, 9, 2, 9, 1, 6, 7, 9, 0, 9, 3, 7, 3, 9, X},
{7, 8, 0, 7, 0, 6, 6, 0, 2, X, X, X, X, X, X, X},
{7, 3, 2, 6, 7, 2, X, X, X, X, X, X, X, X, X, X},
{2, 3, 11, 10, 6, 8, 10, 8, 9, 8, 6, 7, X, X, X, X},
{2, 0, 7, 2, 7, 11, 0, 9, 7, 6, 7, 10, 9, 10, 7, X},
{1, 8, 0, 1, 7, 8, 1, 10, 7, 6, 7, 10, 2, 3, 11, X},
{11, 2, 1, 11, 1, 7, 10, 6, 1, 6, 7, 1, X, X, X, X},
{8, 9, 6, 8, 6, 7, 9, 1, 6, 11, 6, 3, 1, 3, 6, X},
{0, 9, 1, 11, 6, 7, X, X, X, X, X, X, X, X, X, X},
{7, 8, 0, 7, 0, 6, 3, 11, 0, 11, 6, 0, X, X, X, X},
{7, 11, 6, X, X, X, X, X, X, X, X, X, X, X, X, X},
{7, 6, 11, X, X, X, X, X, X, X, X, X, X, X, X, X},
{3, 0, 8, 11, 7, 6, X, X, X, X, X, X, X, X, X, X},
{0, 1, 9, 11, 7, 6, X, X, X, X, X, X, X, X, X, X},
{8, 1, 9, 8, 3, 1, 11, 7, 6, X, X, X, X, X, X, X},
{10, 1, 2, 6, 11, 7, X, X, X, X, X, X, X, X, X, X},
{1, 2, 10, 3, 0, 8, 6, 11, 7, X, X, X, X, X, X, X},
{2, 9, 0, 2, 10, 9, 6, 11, 7, X, X, X, X, X, X, X},
{6, 11, 7, 2, 10, 3, 10, 8, 3, 10, 9, 8, X, X, X, X},
{7, 2, 3, 6, 2, 7, X, X, X, X, X, X, X, X, X, X},
{7, 0, 8, 7, 6, 0, 6, 2, 0, X, X, X, X, X, X, X},
{2, 7, 6, 2, 3, 7, 0, 1, 9, X, X, X, X, X, X, X},
{1, 6, 2, 1, 8, 6, 1, 9, 8, 8, 7, 6, X, X, X, X},
{10, 7, 6, 10, 1, 7, 1, 3, 7, X, X, X, X, X, X, X},
{10, 7, 6, 1, 7, 10, 1, 8, 7, 1, 0, 8, X, X, X, X},
{0, 3, 7, 0, 7, 10, 0, 10, 9, 6, 10, 7, X, X, X, X},
{7, 6, 10, 7, 10, 8, 8, 10, 9, X, X, X, X, X, X, X},
{6, 8, 4, 11, 8, 6, X, X, X, X, X, X, X, X, X, X},
{3, 6, 11, 3, 0, 6, 0, 4, 6, X, X, X, X, X, X, X},
{8, 6, 11, 8, 4, 6, 9, 0, 1, X, X, X, X, X, X, X},
{9, 4, 6, 9, 6, 3, 9, 3, 1, 11, 3, 6, X, X, X, X},
{6, 8, 4, 6, 11, 8, 2, 10, 1, X, X, X, X, X, X, X},
{1, 2, 10, 3, 0, 11, 0, 6, 11, 0, 4, 6, X, X, X, X},
{4, 11, 8, 4, 6, 11, 0, 2, 9, 2, 10, 9, X, X, X, X},
{10, 9, 3, 10, 3, 2, 9, 4, 3, 11, 3, 6, 4, 6, 3, X},
{8, 2, 3, 8, 4, 2, 4, 6, 2, X, X, X, X, X, X, X},
{0, 4, 2, 4, 6, 2, X, X, X, X, X, X, X, X, X, X},
{1, 9, 0, 2, 3, 4, 2, 4, 6, 4, 3, 8, X, X, X, X},
{1, 9, 4, 1, 4, 2, 2, 4, 6, X, X, X, X, X, X, X},
{8, 1, 3, 8, 6, 1, 8, 4, 6, 6, 10, 1, X, X, X, X},
{10, 1, 0, 10, 0, 6, 6, 0, 4, X, X, X, X, X, X, X},
{4, 6, 3, 4, 3, 8, 6, 10, 3, 0, 3, 9, 10, 9, 3, X},
{10, 9, 4, 6, 10, 4, X, X, X, X, X, X, X, X, X, X},
{4, 9, 5, 7, 6, 11, X, X, X, X, X, X, X, X, X, X},
{0, 8, 3, 4, 9, 5, 11, 7, 6, X, X, X, X, X, X, X},
{5, 0, 1, 5, 4, 0, 7, 6, 11, X, X, X, X, X, X, X},
{11, 7, 6, 8, 3, 4, 3, 5, 4, 3, 1, 5, X, X, X, X},
{9, 5, 4, 10, 1, 2, 7, 6, 11, X, X, X, X, X, X, X},
{6, 11, 7, 1, 2, 10, 0, 8, 3, 4, 9, 5, X, X, X, X},
{7, 6, 11, 5, 4, 10, 4, 2, 10, 4, 0, 2, X, X, X, X},
{3, 4, 8, 3, 5, 4, 3, 2, 5, 10, 5, 2, 11, 7, 6, X},
{7, 2, 3, 7, 6, 2, 5, 4, 9, X, X, X, X, X, X, X},
{9, 5, 4, 0, 8, 6, 0, 6, 2, 6, 8, 7, X, X, X, X},
{3, 6, 2, 3, 7, 6, 1, 5, 0, 5, 4, 0, X, X, X, X},
{6, 2, 8, 6, 8, 7, 2, 1, 8, 4, 8, 5, 1, 5, 8, X},
{9, 5, 4, 10, 1, 6, 1, 7, 6, 1, 3, 7, X, X, X, X},
{1, 6, 10, 1, 7, 6, 1, 0, 7, 8, 7, 0, 9, 5, 4, X},
{4, 0, 10, 4, 10, 5, 0, 3, 10, 6, 10, 7, 3, 7, 10, X},
{7, 6, 10, 7, 10, 8, 5, 4, 10, 4, 8, 10, X, X, X, X},
{6, 9, 5, 6, 11, 9, 11, 8, 9, X, X, X, X, X, X, X},
{3, 6, 11, 0, 6, 3, 0, 5, 6, 0, 9, 5, X, X, X, X},
{0, 11, 8, 0, 5, 11, 0, 1, 5, 5, 6, 11, X, X, X, X},
{6, 11, 3, 6, 3, 5, 5, 3, 1, X, X, X, X, X, X, X},
{1, 2, 10, 9, 5, 11, 9, 11, 8, 11, 5, 6, X, X, X, X},
{0, 11, 3, 0, 6, 11, 0, 9, 6, 5, 6, 9, 1, 2, 10, X},
{11, 8, 5, 11, 5, 6, 8, 0, 5, 10, 5, 2, 0, 2, 5, X},
{6, 11, 3, 6, 3, 5, 2, 10, 3, 10, 5, 3, X, X, X, X},
{5, 8, 9, 5, 2, 8, 5, 6, 2, 3, 8, 2, X, X, X, X},
{9, 5, 6, 9, 6, 0, 0, 6, 2, X, X, X, X, X, X, X},
{1, 5, 8, 1, 8, 0, 5, 6, 8, 3, 8, 2, 6, 2, 8, X},
{1, 5, 6, 2, 1, 6, X, X, X, X, X, X, X, X, X, X},
{1, 3, 6, 1, 6, 10, 3, 8, 6, 5, 6, 9, 8, 9, 6, X},
{10, 1, 0, 10, 0, 6, 9, 5, 0, 5, 6, 0, X, X, X, X},
{0, 3, 8, 5, 6, 10, X, X, X, X, X, X, X, X, X, X},
{10, 5, 6, X, X, X, X, X, X, X, X, X, X, X, X, X},
{11, 5, 10, 7, 5, 11, X, X, X, X, X, X, X, X, X, X},
{11, 5, 10, 11, 7, 5, 8, 3, 0, X, X, X, X, X, X, X},
{5, 11, 7, 5, 10, 11, 1, 9, 0, X, X, X, X, X, X, X},
{10, 7, 5, 10, 11, 7, 9, 8, 1, 8, 3, 1, X, X, X, X},
{11, 1, 2, 11, 7, 1, 7, 5, 1, X, X, X, X, X, X, X},
{0, 8, 3, 1, 2, 7, 1, 7, 5, 7, 2, 11, X, X, X, X},
{9, 7, 5, 9, 2, 7, 9, 0, 2, 2, 11, 7, X, X, X, X},
{7, 5, 2, 7, 2, 11, 5, 9, 2, 3, 2, 8, 9, 8, 2, X},
{2, 5, 10, 2, 3, 5, 3, 7, 5, X, X, X, X, X, X, X},
{8, 2, 0, 8, 5, 2, 8, 7, 5, 10, 2, 5, X, X, X, X},
{9, 0, 1, 5, 10, 3, 5, 3, 7, 3, 10, 2, X, X, X, X},
{9, 8, 2, 9, 2, 1, 8, 7, 2, 10, 2, 5, 7, 5, 2, X},
{1, 3, 5, 3, 7, 5, X, X, X, X, X, X, X, X, X, X},
{0, 8, 7, 0, 7, 1, 1, 7, 5, X, X, X, X, X, X, X},
{9, 0, 3, 9, 3, 5, 5, 3, 7, X, X, X, X, X, X, X},
{9, 8, 7, 5, 9, 7, X, X, X, X, X, X, X, X, X, X},
{5, 8, 4, 5, 10, 8, 10, 11, 8, X, X, X, X, X, X, X},
{5, 0, 4, 5, 11, 0, 5, 10, 11, 11, 3, 0, X, X, X, X},
{0, 1, 9, 8, 4, 10, 8, 10, 11, 10, 4, 5, X, X, X, X},
{10, 11, 4, 10, 4, 5, 11, 3, 4, 9, 4, 1, 3, 1, 4, X},
{2, 5, 1, 2, 8, 5, 2, 11, 8, 4, 5, 8, X, X, X, X},
{0, 4, 11, 0, 11, 3, 4, 5, 11, 2, 11, 1, 5, 1, 11, X},
{0, 2, 5, 0, 5, 9, 2, 11, 5, 4, 5, 8, 11, 8, 5, X},
{9, 4, 5, 2, 11, 3, X, X, X, X, X, X, X, X, X, X},
{2, 5, 10, 3, 5, 2, 3, 4, 5, 3, 8, 4, X, X, X, X},
{5, 10, 2, 5, 2, 4, 4, 2, 0, X, X, X, X, X, X, X},
{3, 10, 2, 3, 5, 10, 3, 8, 5, 4, 5, 8, 0, 1, 9, X},
{5, 10, 2, 5, 2, 4, 1, 9, 2, 9, 4, 2, X, X, X, X},
{8, 4, 5, 8, 5, 3, 3, 5, 1, X, X, X, X, X, X, X},
{0, 4, 5, 1, 0, 5, X, X, X, X, X, X, X, X, X, X},
{8, 4, 5, 8, 5, 3, 9, 0, 5, 0, 3, 5, X, X, X, X},
{9, 4, 5, X, X, X, X, X, X, X, X, X, X, X, X, X},
{4, 11, 7, 4, 9, 11, 9, 10, 11, X, X, X, X, X, X, X},
{0, 8, 3, 4, 9, 7, 9, 11, 7, 9, 10, 11, X, X, X, X},
{1, 10, 11, 1, 11, 4, 1, 4, 0, 7, 4, 11, X, X, X, X},
{3, 1, 4, 3, 4, 8, 1, 10, 4, 7, 4, 11, 10, 11, 4, X},
{4, 11, 7, 9, 11, 4, 9, 2, 11, 9, 1, 2, X, X, X, X},
{9, 7, 4, 9, 11, 7, 9, 1, 11, 2, 11, 1, 0, 8, 3, X},
{11, 7, 4, 11, 4, 2, 2, 4, 0, X, X, X, X, X, X, X},
{11, 7, 4, 11, 4, 2, 8, 3, 4, 3, 2, 4, X, X, X, X},
{2, 9, 10, 2, 7, 9, 2, 3, 7, 7, 4, 9, X, X, X, X},
{9, 10, 7, 9, 7, 4, 10, 2, 7, 8, 7, 0, 2, 0, 7, X},
{3, 7, 10, 3, 10, 2, 7, 4, 10, 1, 10, 0, 4, 0, 10, X},
{1, 10, 2, 8, 7, 4, X, X, X, X, X, X, X, X, X, X},
{4, 9, 1, 4, 1, 7, 7, 1, 3, X, X, X, X, X, X, X},
{4, 9, 1, 4, 1, 7, 0, 8, 1, 8, 7, 1, X, X, X, X},
{4, 0, 3, 7, 4, 3, X, X, X, X, X, X, X, X, X, X},
{4, 8, 7, X, X, X, X, X, X, X, X, X, X, X, X, X},
{9, 10, 8, 10, 11, 8, X, X, X, X, X, X, X, X, X, X},
{3, 0, 9, 3, 9, 11, 11, 9, 10, X, X, X, X, X, X, X},
{0, 1, 10, 0, 10, 8, 8, 10, 11, X, X, X, X, X, X, X},
{3, 1, 10, 11, 3, 10, X, X, X, X, X, X, X, X, X, X},
{1, 2, 11, 1, 11, 9, 9, 11, 8, X, X, X, X, X, X, X},
{3, 0, 9, 3, 9, 11, 1, 2, 9, 2, 11, 9, X, X, X, X},
{0, 2, 11, 8, 0, 11, X, X, X, X, X, X, X, X, X, X},
{3, 2, 11, X, X, X, X, X, X, X, X, X, X, X, X, X},
{2, 3, 8, 2, 8, 10, 10, 8, 9, X, X, X, X, X, X, X},
{9, 10, 2, 0, 9, 2, X, X, X, X, X, X, X, X, X, X},
{2, 3, 8, 2, 8, 10, 0, 1, 8, 1, 10, 8, X, X, X, X},
{1, 10, 2, X, X, X, X, X, X, X, X, X, X, X, X, X},
{1, 3, 8, 9, 1, 8, X, X, X, X, X, X, X, X, X, X},
{0, 9, 1, X, X, X, X, X, X, X, X, X, X, X, X, X},
{0, 3, 8, X, X, X, X, X, X, X, X, X, X, X, X, X},
{X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X}};
#undef X
// Table mapping each edge to the corresponding cube vertices offsets
const uint _EDGE_TO_VERTICES[12][2] = {
{0, 1},
{1, 5},
{4, 5},
{0, 4},
{2, 3},
{3, 7},
{6, 7},
{2, 6},
{0, 2},
{1, 3},
{5, 7},
{4, 6},
};
// Table mapping from 0-7 to v0-v7 in cube.vertices
const int _INDEX_TABLE[8] = {0, 1, 5, 4, 2, 3, 7, 6};
......@@ -230,18 +230,19 @@ def marching_cubes_naive(
########################################
# Marching Cubes Implementation in C++
# Marching Cubes Implementation in C++/Cuda
########################################
class _marching_cubes(Function):
"""
Torch Function wrapper for marching_cubes C++ implementation
Backward is not supported.
Torch Function wrapper for marching_cubes implementation.
This function is not differentiable. An autograd wrapper is used
to ensure an error if user tries to get gradients.
"""
@staticmethod
def forward(ctx, vol, isolevel):
verts, faces = _C.marching_cubes(vol, isolevel)
return verts, faces
verts, faces, ids = _C.marching_cubes(vol, isolevel)
return verts, faces, ids
@staticmethod
def backward(ctx, grad_verts, grad_faces):
......@@ -268,7 +269,6 @@ def marching_cubes(
the range [-1, 1] x [-1, 1] x [-1, 1]. If False they will be in the range
[0, W-1] x [0, H-1] x [0, D-1]
Returns:
verts: [{V_0}, {V_1}, ...] List of N sets of vertices of shape (|V_i|, 3) in FloatTensor
faces: [{F_0}, {F_1}, ...] List of N sets of faces of shape (|F_i|, 3) in LongTensors
......@@ -279,7 +279,7 @@ def marching_cubes(
vol = vol_batch[i]
thresh = ((vol.max() + vol.min()) / 2).item() if isolevel is None else isolevel
# pyre-fixme[16]: `_marching_cubes` has no attribute `apply`.
verts, faces = _marching_cubes.apply(vol, thresh)
verts, faces, ids = _marching_cubes.apply(vol, thresh)
if len(faces) > 0 and len(verts) > 0:
# Convert from world coordinates ([0, D-1], [0, H-1], [0, W-1]) to
# local coordinates in the range [-1, 1]
......@@ -289,6 +289,13 @@ def marching_cubes(
.scale((vol.new_tensor([W, H, D])[None] - 1) * 0.5)
.inverse()
).transform_points(verts[None])[0]
# deduplication for cuda
if vol.is_cuda:
unique_ids, inverse_idx = torch.unique(ids, return_inverse=True)
verts_ = verts.new_zeros(unique_ids.shape[0], 3)
verts_[inverse_idx] = verts
verts = verts_
faces = inverse_idx[faces]
batched_verts.append(verts)
batched_faces.append(faces)
else:
......
......@@ -14,10 +14,11 @@ def bm_marching_cubes() -> None:
case_grid = {
"algo_type": [
"naive",
"cextension",
"extension",
],
"batch_size": [1, 5, 20],
"V": [5, 10, 20],
"batch_size": [1, 2],
"V": [5, 10, 20, 100, 512],
"device": ["cpu", "cuda:0"],
}
test_cases = itertools.product(*case_grid.values())
kwargs_list = [dict(zip(case_grid.keys(), case)) for case in test_cases]
......
......@@ -37,7 +37,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts, expected_verts)
self.assertClose(faces, expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts, expected_verts)
self.assertClose(faces, expected_faces)
......@@ -46,7 +45,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
volume_data = torch.ones(1, 2, 2, 2) # (B, W, H, D)
volume_data[0, 0, 0, 0] = 0
volume_data = volume_data.permute(0, 3, 2, 1) # (B, D, H, W)
verts, faces = marching_cubes_naive(volume_data, return_local_coords=False)
expected_verts = torch.tensor(
[
[0.5, 0, 0],
......@@ -54,22 +52,21 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
[0, 0, 0.5],
]
)
expected_faces = torch.tensor([[0, 1, 2]])
verts, faces = marching_cubes_naive(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
verts, faces = marching_cubes_naive(volume_data, return_local_coords=True)
expected_verts = convert_to_local(expected_verts, 2)
verts, faces = marching_cubes_naive(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -92,7 +89,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -102,7 +98,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -128,7 +123,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -138,7 +132,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -164,7 +157,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -174,7 +166,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -198,7 +189,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -208,7 +198,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -239,7 +228,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -249,7 +237,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -285,7 +272,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -295,7 +281,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -324,7 +309,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -334,7 +318,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -363,7 +346,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -373,7 +355,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -401,7 +382,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -411,7 +391,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -441,7 +420,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -451,7 +429,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -483,7 +460,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -493,7 +469,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -525,7 +500,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -535,7 +509,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -565,7 +538,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -575,7 +547,6 @@ class TestCubeConfiguration(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -613,7 +584,6 @@ class TestMarchingCubes(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -624,7 +594,6 @@ class TestMarchingCubes(TestCaseMixin, unittest.TestCase):
self.assertClose(faces[0], expected_faces)
self.assertTrue(verts[0].ge(-1).all() and verts[0].le(1).all())
# test C++ implementation
verts, faces = marching_cubes(volume_data, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -641,8 +610,6 @@ class TestMarchingCubes(TestCaseMixin, unittest.TestCase):
volume_data[0, 2, 2, 1] = 1
volume_data[0, 2, 2, 2] = 1
volume_data = volume_data.permute(0, 3, 2, 1) # (B, D, H, W)
verts, faces = marching_cubes_naive(volume_data, 0.9, return_local_coords=False)
expected_verts = torch.tensor(
[
[1.0000, 0.9000, 1.0000],
......@@ -720,11 +687,13 @@ class TestMarchingCubes(TestCaseMixin, unittest.TestCase):
[17, 23, 19],
]
)
verts, faces = marching_cubes_naive(volume_data, 0.9, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume_data, 0.9, return_local_coords=False)
verts2, faces2 = marching_cubes(volume_data, 0.9, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -736,7 +705,6 @@ class TestMarchingCubes(TestCaseMixin, unittest.TestCase):
# Check all values are in the range [-1, 1]
self.assertTrue(verts[0].ge(-1).all() and verts[0].le(1).all())
# test C++ implementation
verts, faces = marching_cubes(volume_data, 0.9, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -803,12 +771,14 @@ class TestMarchingCubes(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
verts, faces = marching_cubes(volume_data, 1, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
verts, faces = marching_cubes_naive(volume_data, 1, return_local_coords=True)
expected_verts = convert_to_local(expected_verts, 5)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# Check all values are in the range [-1, 1]
self.assertTrue(verts[0].ge(-1).all() and verts[0].le(1).all())
def test_sphere(self):
......@@ -837,7 +807,6 @@ class TestMarchingCubes(TestCaseMixin, unittest.TestCase):
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
# test C++ implementation
verts, faces = marching_cubes(volume, 64, return_local_coords=False)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -853,7 +822,6 @@ class TestMarchingCubes(TestCaseMixin, unittest.TestCase):
# Check all values are in the range [-1, 1]
self.assertTrue(verts[0].ge(-1).all() and verts[0].le(1).all())
# test C++ implementation
verts, faces = marching_cubes(volume, 64, return_local_coords=True)
self.assertClose(verts[0], expected_verts)
self.assertClose(faces[0], expected_faces)
......@@ -964,7 +932,7 @@ class TestMarchingCubes(TestCaseMixin, unittest.TestCase):
self.assertClose(surf, surf_c)
def test_ball_example(self):
N = 15
N = 30
axis_tensor = torch.arange(0, N)
X, Y, Z = torch.meshgrid(axis_tensor, axis_tensor, axis_tensor, indexing="ij")
u = (X - 15) ** 2 + (Y - 15) ** 2 + (Z - 15) ** 2 - 8**2
......@@ -975,14 +943,14 @@ class TestMarchingCubes(TestCaseMixin, unittest.TestCase):
self.assertClose(faces[0], faces2[0])
@staticmethod
def marching_cubes_with_init(algo_type: str, batch_size: int, V: int):
device = torch.device("cuda:0")
def marching_cubes_with_init(algo_type: str, batch_size: int, V: int, device: str):
device = torch.device(device)
volume_data = torch.rand(
(batch_size, V, V, V), dtype=torch.float32, device=device
)
algo_table = {
"naive": marching_cubes_naive,
"cextension": marching_cubes,
"extension": marching_cubes,
}
def convert():
......
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