Go::AlgObj3DInt Class Reference
[Intersections]

Class for 3-dimensional algebraic intersection objects. More...

#include <AlgObj3DInt.h>

Inheritance diagram for Go::AlgObj3DInt:

List of all members.

Public Member Functions
	AlgObj3DInt (int degree)
	Constructor.
	AlgObj3DInt (const std::vector< Alg3DElem > &terms)
	Constructor.
	AlgObj3DInt (const BernsteinTetrahedralPoly &implicit, const BaryCoordSystem3D &bc)
	Constructor.
virtual	~AlgObj3DInt ()
	Destructor.
int	numTerms ()
	Get the number of terms in the algebraic object.
int	degree ()
	Get the degree of the algebraic object.
Alg3DElem	term (int index)
	Get the corresponding term from the algebraic object.
void	getImplicit (BernsteinTetrahedralPoly &impl, BaryCoordSystem3D &bc)
	Get the implicit representation of the object.
bool	usingPowerBasis ()
	Verify whether we are using a standard power basis representation for the object.
Protected Attributes
int	degree_
std::vector< Alg3DElem >	terms_
bool	power_basis_
BernsteinTetrahedralPoly	implicit_
BaryCoordSystem3D	bc_

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Detailed Description

Class for 3-dimensional algebraic intersection objects.

Supports two different representations: Polynomials on power basis, or Bernstein polynomials on a tetrahedron.

Definition at line 74 of file AlgObj3DInt.h.

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Constructor & Destructor Documentation

Go::AlgObj3DInt::AlgObj3DInt

(

int

degree

)

Constructor.

Parameters:

degree

the total degree of the algebraic expression, i.e. the maximum sum of exponents of a term.

Go::AlgObj3DInt::AlgObj3DInt

(

const std::vector< Alg3DElem > &

terms

)

Constructor.

Parameters:

terms

the terms in the algebraic expression, i.e. elements on the form .

Go::AlgObj3DInt::AlgObj3DInt	(	const BernsteinTetrahedralPoly &	implicit,
		const BaryCoordSystem3D &	bc
	)

Constructor.

We define the algebraic expression using another representation than the standard power basis formulation. This will (typically) be the result from an approximative implicitization of a spline surface.

Parameters:

	implicit	the implicit object.
	bc	the barycentric coordinate system for the representation.

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Member Function Documentation

int Go::AlgObj3DInt::numTerms

(

)

[inline]

Get the number of terms in the algebraic object.

Returns:

The number of terms in the object.

Definition at line 102 of file AlgObj3DInt.h.

References terms_.

int Go::AlgObj3DInt::degree

(

)

[inline]

Get the degree of the algebraic object.

Returns:

the degree

Definition at line 107 of file AlgObj3DInt.h.

References degree_.

Alg3DElem Go::AlgObj3DInt::term

(

int

index

)

Get the corresponding term from the algebraic object.

Parameters:

index

the index of the term in question. Indexing starts at 0.

void Go::AlgObj3DInt::getImplicit	(	BernsteinTetrahedralPoly &	impl,
		BaryCoordSystem3D &	bc
	)			[inline]

Get the implicit representation of the object.

Parameters:

	impl	the implicit representation.
	bc	the corresponding coordinate system.

Definition at line 118 of file AlgObj3DInt.h.

References bc_, and implicit_.

bool Go::AlgObj3DInt::usingPowerBasis

(

)

[inline]

Verify whether we are using a standard power basis representation for the object.

Returns:

True if we are using a standard power basis representation. For typical algebraic objects like spheres this will be the case, but not for approximative implicitizations of spline surfaces.

Definition at line 130 of file AlgObj3DInt.h.

References power_basis_.

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The documentation for this class was generated from the following file:

• AlgObj3DInt.h

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