Geometry-impl.hpp

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#ifndef DART_MATH_DETAIL_GEOMETRY_IMPL_HPP_
#define DART_MATH_DETAIL_GEOMETRY_IMPL_HPP_
 
#include <unordered_map>
 
#include "dart/external/convhull_3d/convhull_3d.h"
#include "dart/math/Geometry.hpp"
 
namespace dart {
namespace math {
 
//==============================================================================
template <typename S, typename Index>
std::tuple<
    std::vector<Eigen::Matrix<S, 3, 1>>,
    std::vector<Eigen::Matrix<Index, 3, 1>>>
discardUnusedVertices(
    const std::vector<Eigen::Matrix<S, 3, 1>>& vertices,
    const std::vector<Eigen::Matrix<Index, 3, 1>>& triangles)
{
  auto newVertices = std::vector<Eigen::Matrix<S, 3, 1>>();
  auto newTriangles = std::vector<Eigen::Matrix<Index, 3, 1>>();
  newTriangles.resize(triangles.size());
  auto indexMap = std::unordered_map<Index, Index>();
  auto newIndex = 0;
 
  for (auto i = 0u; i < triangles.size(); ++i)
  {
    const auto& triangle = triangles[i];
    auto& newTriangle = newTriangles[i];
 
    for (auto j = 0u; j < 3; ++j)
    {
      const auto result
          = indexMap.insert(std::make_pair(triangle[j], newIndex));
      const bool& inserted = result.second;
      if (inserted)
      {
        newVertices.push_back(vertices[triangle[j]]);
        newIndex++;
      }
 
      newTriangle[j] = indexMap[triangle[j]];
    }
  }
 
  return std::make_tuple(newVertices, newTriangles);
}
 
//==============================================================================
template <typename S, typename Index>
std::tuple<
    std::vector<Eigen::Matrix<S, 3, 1>>,
    std::vector<Eigen::Matrix<Index, 3, 1>>>
computeConvexHull3D(
    const std::vector<Eigen::Matrix<S, 3, 1>>& inputVertices, bool optimize)
{
  ch_vertex* vertices = new ch_vertex[inputVertices.size()];
 
  for (auto i = 0u; i < inputVertices.size(); ++i)
  {
    const Eigen::Matrix<S, 3, 1>& inputV = inputVertices[i];
    ch_vertex& v = vertices[i];
    v.x = inputV[0];
    v.y = inputV[1];
    v.z = inputV[2];
  }
 
  int* faces = nullptr;
  int numFaces = 0;
 
  convhull_3d_build(vertices, inputVertices.size(), &faces, &numFaces);
 
  std::vector<Eigen::Matrix<Index, 3, 1>> eigenFaces;
  eigenFaces.reserve(numFaces);
 
  for (auto i = 0; i < numFaces; ++i)
  {
    const auto index1 = faces[3 * i];
    const auto index2 = faces[3 * i + 1];
    const auto index3 = faces[3 * i + 2];
 
    eigenFaces.emplace_back(index1, index2, index3);
  }
 
  free(faces);
  delete[] vertices;
 
  if (optimize)
    return discardUnusedVertices<S, Index>(inputVertices, eigenFaces);
  else
    return std::make_pair(inputVertices, eigenFaces);
}
 
} // namespace math
} // namespace dart
 
#endif // DART_MATH_DETAIL_GEOMETRY_IMPL_HPP_