U4DEngine::U4DTetrahedron Class Reference

The U4DTetrahedron class implements a geometrical representation of a Tetrahedron. More...

Public Member Functions
	U4DTetrahedron ()
	Constructor which creates a tetrahedron with all vertices-components set to zero.
	U4DTetrahedron (U4DPoint3n &uPointA, U4DPoint3n &uPointB, U4DPoint3n &uPointC, U4DPoint3n &uPointD)
	Constructor which creates a tetrahedron with the given 3D vertex points.
	~U4DTetrahedron ()
	Destructor for the class.
	U4DTetrahedron (const U4DTetrahedron &a)
	Copy constructor for the class.
U4DTetrahedron &	operator= (const U4DTetrahedron &a)
	Copy constructor for the class. More...
bool	pointOutsideOfPlane (U4DPoint3n &p, U4DPoint3n &a, U4DPoint3n &b, U4DPoint3n &c)
	Method to test if 3D point p lies outside the plane through abc. The tetrahedron should have a CCW winding. More...
bool	pointOutsideOfPlane (U4DPoint3n &p, U4DPoint3n &a, U4DPoint3n &b, U4DPoint3n &c, U4DPoint3n &d)
	Method to test if 3D point p and d lies outside the plane through abc. The tetrahedron should have a CCW winding. If the winding is not known, then use this method to test if a point lies outside the plane. More...
U4DPoint3n	closestPointOnTetrahedronToPoint (U4DPoint3n &uPoint)
	Method which computes the closest 3D point to the tetrahedron from the given 3D point. More...
U4DTriangle	closestTriangleOnTetrahedronToPoint (U4DPoint3n &uPoint)
	Method which computes the closest tetrahedron face to the given 3D point. More...
bool	isPointInTetrahedron (U4DPoint3n &uPoint)
	Method which determines if a 3D point lies on the tetrahedron. More...
void	getBarycentricCoordinatesOfPoint (U4DPoint3n &uPoint, float &baryCoordinateU, float &baryCoordinateV, float &baryCoordinateW, float &baryCoordinateX)
	Method which computes the barycentric coordinates of the 3D point in the tetrahedron. More...
std::vector< U4DTriangle >	getTriangles ()
	Method which returns the face triangles composing the tetrahedron. More...
void	show ()
	Method which prints the vertices of the tetrahedron to the console log window.
bool	isValid ()
	Method which determines if the Tetrahedron has a valid construction. More...

Detailed Description

The U4DTetrahedron class implements a geometrical representation of a Tetrahedron.

Member Function Documentation

closestPointOnTetrahedronToPoint()

U4DPoint3n U4DEngine::U4DTetrahedron::closestPointOnTetrahedronToPoint

(

U4DPoint3n &

uPoint

)

Method which computes the closest 3D point to the tetrahedron from the given 3D point.

Parameters

uPoint

3D point to compute closest 3D point to tetrahedron

Returns

Returns the closest 3D point to the tetrahedron

closestTriangleOnTetrahedronToPoint()

U4DTriangle U4DEngine::U4DTetrahedron::closestTriangleOnTetrahedronToPoint

(

U4DPoint3n &

uPoint

)

Method which computes the closest tetrahedron face to the given 3D point.

Parameters

uPoint

3D point to compute closest face to tetrahedron

Returns

Returns the closest tetrahedron face to the 3D point

getBarycentricCoordinatesOfPoint()

void U4DEngine::U4DTetrahedron::getBarycentricCoordinatesOfPoint	(	U4DPoint3n &	uPoint,
		float &	baryCoordinateU,
		float &	baryCoordinateV,
		float &	baryCoordinateW,
		float &	baryCoordinateX
	)

Method which computes the barycentric coordinates of the 3D point in the tetrahedron.

Parameters

uPoint	3D point to compute barycentric coordinates from
baryCoordinateU	u-component of the barycentric coordinates of the 3D point
baryCoordinateV	v-component of the barycentric coordinates of the 3D point
baryCoordinateW	w-component of the barycentric coordinates of the 3D point
baryCoordinateX	x-component of the barycentric coordinates of the 3D point

getTriangles()

std::vector< U4DTriangle > U4DEngine::U4DTetrahedron::getTriangles

(

)

Method which returns the face triangles composing the tetrahedron.

Returns

Returns the faces of the tetrahedron

isPointInTetrahedron()

bool U4DEngine::U4DTetrahedron::isPointInTetrahedron

(

U4DPoint3n &

uPoint

)

Method which determines if a 3D point lies on the tetrahedron.

Parameters

uPoint

3D point to test

Returns

Returns true if the 3D point lies on or in the tetrahedron

isValid()

bool U4DEngine::U4DTetrahedron::isValid

(

)

Method which determines if the Tetrahedron has a valid construction.

Returns

Returns true if the tetrahedron is valid

operator=()

U4DTetrahedron & U4DEngine::U4DTetrahedron::operator=

(

const U4DTetrahedron &

a

)

Copy constructor for the class.

Parameters

a	3D tetrahedron to copy to

Returns

Returns a copy of the tetrahedron

pointOutsideOfPlane() [1/2]

bool U4DEngine::U4DTetrahedron::pointOutsideOfPlane	(	U4DPoint3n &	p,
		U4DPoint3n &	a,
		U4DPoint3n &	b,
		U4DPoint3n &	c
	)

Method to test if 3D point p lies outside the plane through abc. The tetrahedron should have a CCW winding.

Parameters

U4DPoint3n&p	3D point to test
a	3D point composing face
b	3D point composing face
c	3D point composing face

Returns

Returns true if 3D point lies outside the plane through abc

pointOutsideOfPlane() [2/2]

bool U4DEngine::U4DTetrahedron::pointOutsideOfPlane	(	U4DPoint3n &	p,
		U4DPoint3n &	a,
		U4DPoint3n &	b,
		U4DPoint3n &	c,
		U4DPoint3n &	d
	)

Method to test if 3D point p and d lies outside the plane through abc. The tetrahedron should have a CCW winding. If the winding is not known, then use this method to test if a point lies outside the plane.

Parameters

U4DPoint3n&p	3D point to test
a	3D point composing face
b	3D point composing face
c	3D point composing face
d	3D point to test

Returns

Returns true if 3D point p and d lies outside the plane through abc