Ponca::internal::CNCEigen< DataPoint >::SphericalTriangle Struct Reference

Represents a triangle on a sphere of radius one. More...

#include <cncFormulaEigen.h>

Collaboration diagram for Ponca::internal::CNCEigen< DataPoint >::SphericalTriangle:

Static Public Member Functions
static bool	isDegenerate (const VectorType &a, const VectorType &b, const VectorType &c)
	Spherical point data type.
static void	polarTriangle (const VectorType &a, const VectorType &b, const VectorType &c, VectorType &Ap, VectorType &Bp, VectorType &Cp)
static void	interiorAngles (const VectorType &a, const VectorType &b, const VectorType &c, Scalar &alpha, Scalar &beta, Scalar &gamma)
	Returns the interior angles of the spherical triangle ABC.
static Scalar	area (const VectorType &a, const VectorType &b, const VectorType &c)
static Scalar	algebraicArea (const VectorType &a, const VectorType &b, const VectorType &c)

Detailed Description

template<typename DataPoint>
struct Ponca::internal::CNCEigen< DataPoint >::SphericalTriangle

Represents a triangle on a sphere of radius one.

Definition at line 81 of file cncFormulaEigen.h.

Member Function Documentation

algebraicArea()

template<typename DataPoint >

static Scalar Ponca::internal::CNCEigen< DataPoint >::SphericalTriangle::algebraicArea ( const VectorType &  a, const VectorType &  b, const VectorType &  c  )

inlinestatic

Returns

the (signed) area of the spherical triangle (below 2pi).

Definition at line 148 of file cncFormulaEigen.h.

area()

template<typename DataPoint >

static Scalar Ponca::internal::CNCEigen< DataPoint >::SphericalTriangle::area ( const VectorType &  a, const VectorType &  b, const VectorType &  c  )

inlinestatic

Returns

the (unsigned) area of the spherical triangle (below 2pi).

Definition at line 136 of file cncFormulaEigen.h.

interiorAngles()

template<typename DataPoint >

static void Ponca::internal::CNCEigen< DataPoint >::SphericalTriangle::interiorAngles ( const VectorType &  a, const VectorType &  b, const VectorType &  c, Scalar &  alpha, Scalar &  beta, Scalar &  gamma  )

inlinestatic

Returns the interior angles of the spherical triangle ABC.

Parameters

[out]	alpha	the interior angle at vertex A.
[out]	beta	the interior angle at vertex B.
[out]	gamma	the interior angle at vertex C.

Definition at line 113 of file cncFormulaEigen.h.

isDegenerate()

template<typename DataPoint >

static bool Ponca::internal::CNCEigen< DataPoint >::SphericalTriangle::isDegenerate ( const VectorType &  a, const VectorType &  b, const VectorType &  c  )

inlinestatic

Spherical point data type.

Definition at line 83 of file cncFormulaEigen.h.

polarTriangle()

template<typename DataPoint >

static void Ponca::internal::CNCEigen< DataPoint >::SphericalTriangle::polarTriangle ( const VectorType &  a, const VectorType &  b, const VectorType &  c, VectorType &  Ap, VectorType &  Bp, VectorType &  Cp  )

inlinestatic

Returns

the polar triangle associated with this triangle.

Definition at line 96 of file cncFormulaEigen.h.