Go::ImplicitizeSurfaceAlgo Class Reference
[Implicitization]

Class that implements an implicitization algorithm for spline surfaces. More...

#include <ImplicitizeSurfaceAlgo.h>

List of all members.

Public Member Functions
	ImplicitizeSurfaceAlgo ()
	Default constructor.
	ImplicitizeSurfaceAlgo (int deg)
	Constructor.
	ImplicitizeSurfaceAlgo (const SplineSurface &surf, int deg)
	Constructor.
void	useSplineSurface (const SplineSurface &surf)
	Load the spline surface to be implicitized.
void	setDegree (int deg)
	Choose the degree of the implicit representation.
void	setTolerance (double tol)
	Set the tolerance.
void	perform ()
	Perform the implicitization.
void	getResultData (BernsteinTetrahedralPoly &implicit, BaryCoordSystem3D &bc, double &sigma_min)
	Get the result of the implicitization.

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Detailed Description

Class that implements an implicitization algorithm for spline surfaces.

Input: A surface of type SplineSurface, and the degree that is chosen for the implicitization.

Output: A barycentric coordinate system, and the Bernstein polynomial that represents the implicit surface.

The algorithm first defines a barycentric coordinate system in terms of a tetrahedron that is slightly larger than the bounding box of the spline surface. It then computes the Bernstein polynomial representing the implicit surface. If the chosen degree is too low to produce the exact result, an approximate implicit surface is produced. If the degree is too high, the resulting polynomial will be reducible and contain the exact implicitization as a factor. If the input surface consists of multiple patches, the output polynomial will be a product of the separate implicit surfaces, or an approximation of it.

Definition at line 70 of file ImplicitizeSurfaceAlgo.h.

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Constructor & Destructor Documentation

Go::ImplicitizeSurfaceAlgo::ImplicitizeSurfaceAlgo

(

int

deg

)

[inline, explicit]

Constructor.

Parameters:

deg

degree of the implicit representation

Definition at line 76 of file ImplicitizeSurfaceAlgo.h.

Go::ImplicitizeSurfaceAlgo::ImplicitizeSurfaceAlgo	(	const SplineSurface &	surf,
		int	deg
	)			[inline]

Constructor.

Parameters:

	surf	spline surface to be implicitized
	deg	degree of the implicit representation

Definition at line 80 of file ImplicitizeSurfaceAlgo.h.

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Member Function Documentation

void Go::ImplicitizeSurfaceAlgo::useSplineSurface

(

const SplineSurface &

surf

)

[inline]

Load the spline surface to be implicitized.

Parameters:

surf

surfaceon SplineSurface form

Definition at line 85 of file ImplicitizeSurfaceAlgo.h.

void Go::ImplicitizeSurfaceAlgo::setDegree

(

int

deg

)

[inline]

Choose the degree of the implicit representation.

Parameters:

deg

degree

Definition at line 90 of file ImplicitizeSurfaceAlgo.h.

void Go::ImplicitizeSurfaceAlgo::setTolerance

(

double

tol

)

[inline]

Set the tolerance.

Parameters:

tol

tolerance; default value is 3.0e-15

Definition at line 95 of file ImplicitizeSurfaceAlgo.h.

void Go::ImplicitizeSurfaceAlgo::perform

(

)

Perform the implicitization.

This function runs the implicitization algorithm.

void Go::ImplicitizeSurfaceAlgo::getResultData	(	BernsteinTetrahedralPoly &	implicit,
		BaryCoordSystem3D &	bc,
		double &	sigma_min
	)			[inline]

Get the result of the implicitization.

Return values:

	implicit	a BernsteinTetrahedralPoly representing the implicit surface
	bc	the barycentric coordinate system in which the BernsteinTetrahedralPoly is defined

Definition at line 107 of file ImplicitizeSurfaceAlgo.h.

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

• ImplicitizeSurfaceAlgo.h

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