Manicore::Geometry Namespace Reference

Functions
double	volume_tetrahedron (Eigen::Vector3d const &a, Eigen::Vector3d const &b, Eigen::Vector3d const &c, Eigen::Vector3d const &d)
	Volume of a tetrahedron in 3D given by its 4 vertices. More...
double	volume_triangle (Eigen::Vector3d const &x1, Eigen::Vector3d const &x2, Eigen::Vector3d const &x3)
	Area of a triangle in 3D given by its 3 vertices. More...
double	volume_triangle (Eigen::Vector2d const &x1, Eigen::Vector2d const &x2, Eigen::Vector2d const &x3)
	Area of a triangle in 2D given by its 3 vertices. More...
template<typename T >
double	diameter (std::vector< T > const &vl)
	Diameter of the convex hull of a vector of vertices in ND. More...
template<size_t dimension, size_t d>
Eigen::Matrix< double, dimension, d >	tangent_space (std::vector< Eigen::Vector< double, dimension >> const &vl)
	Compute a possible basis for the tangent space from a vector of vertices. More...
template<size_t d>
Eigen::Vector< double, d >	middleSimplex (Simplex< d > const &S)
	Compute the centroid of a simplex S. More...
template<size_t d>
bool	inside (Eigen::Vector< double, d > const &x, Simplex< d > const &S)
	Is a vector x inside a simplex S. More...

Function Documentation

diameter()

template<typename T >

double Manicore::Geometry::diameter

(

std::vector< T > const &

vl

)

Diameter of the convex hull of a vector of vertices in ND.

inside()

template<size_t d>

bool Manicore::Geometry::inside	(	Eigen::Vector< double, d > const &	x,
		Simplex< d > const &	S
	)

Is a vector x inside a simplex S.

middleSimplex()

template<size_t d>

Eigen::Vector<double,d> Manicore::Geometry::middleSimplex

(

Simplex< d > const &

S

)

Compute the centroid of a simplex S.

tangent_space()

template<size_t dimension, size_t d>

Eigen::Matrix<double,dimension,d> Manicore::Geometry::tangent_space

(

std::vector< Eigen::Vector< double, dimension >> const &

vl

)

Compute a possible basis for the tangent space from a vector of vertices.

Generate a set of vector spanning the basis by subtracting 2 vertices, and apply a Gram-Schmidt process

volume_tetrahedron()

double Manicore::Geometry::volume_tetrahedron ( Eigen::Vector3d const &  a, Eigen::Vector3d const &  b, Eigen::Vector3d const &  c, Eigen::Vector3d const &  d  )

inline

Volume of a tetrahedron in 3D given by its 4 vertices.

volume_triangle() [1/2]

double Manicore::Geometry::volume_triangle ( Eigen::Vector2d const &  x1, Eigen::Vector2d const &  x2, Eigen::Vector2d const &  x3  )

inline

Area of a triangle in 2D given by its 3 vertices.

volume_triangle() [2/2]

double Manicore::Geometry::volume_triangle ( Eigen::Vector3d const &  x1, Eigen::Vector3d const &  x2, Eigen::Vector3d const &  x3  )

inline

Area of a triangle in 3D given by its 3 vertices.