Icosphere.hpp

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#ifndef DART_MATH_ICOSPHERE_HPP_
#define DART_MATH_ICOSPHERE_HPP_
 
#include <map>
#include <vector>
 
#include <Eigen/Core>
 
#include "dart/math/TriMesh.hpp"
 
namespace dart {
namespace math {
 
template <typename S_>
class Icosphere : public TriMesh<S_>
{
public:
  // Type aliases
  using S = S_;
  using Base = TriMesh<S>;
  using Index = typename Base::Index;
  using Vector3 = typename Base::Vector3;
  using Triangle = typename Base::Triangle;
  using Vertices = std::vector<Vector3>;
  using Normals = typename Base::Normals;
  using Triangles = std::vector<Triangle>;
 
  static std::size_t getNumVertices(std::size_t subdivisions);
 
  static std::size_t getNumEdges(std::size_t subdivisions);
 
  static std::size_t getNumTriangles(std::size_t subdivisions);
 
  static std::pair<Vertices, Triangles> computeIcosahedron(S radius);
 
  Icosphere(S radius, std::size_t subdivisions);
 
  S getRadius() const;
 
  std::size_t getNumSubdivisions() const;
 
private:
  void build();
 
  S mRadius;
 
  std::size_t mSubdivisions;
};
 
using Icospheref = Icosphere<float>;
using Icosphered = Icosphere<double>;
 
} // namespace math
} // namespace dart
 
#include "dart/math/detail/Icosphere-impl.hpp"
 
#endif // DART_MATH_ICOSPHERE_HPP_