Go::ImplicitizePointCloudAlgo Class Reference
[Implicitization]

Class that implements an algorithm for finding an implicit surface from a 3D point cloud. More...

#include <ImplicitizePointCloudAlgo.h>

List of all members.

Public Member Functions
	ImplicitizePointCloudAlgo ()
	Default constructor.
	ImplicitizePointCloudAlgo (int deg)
	Constructor.
	ImplicitizePointCloudAlgo (const PointCloud3D &cloud, int deg)
	Constructor.
void	usePointCloud (const PointCloud3D &cloud)
	Load the point cloud 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 algorithm for finding an implicit surface from a 3D point cloud.

Input: A point cloud of type PointCloud3D, and the degree that is chosen for the implicit representation.

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 point cloud. 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.

Definition at line 67 of file ImplicitizePointCloudAlgo.h.

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Constructor & Destructor Documentation

Go::ImplicitizePointCloudAlgo::ImplicitizePointCloudAlgo

(

int

deg

)

[inline, explicit]

Constructor.

Parameters:

deg

degree of the implicit representation

Definition at line 73 of file ImplicitizePointCloudAlgo.h.

Go::ImplicitizePointCloudAlgo::ImplicitizePointCloudAlgo	(	const PointCloud3D &	cloud,
		int	deg
	)			[inline]

Constructor.

Parameters:

	cloud	point cloud to be implicitized
	deg	degree of the implicit representation

Definition at line 78 of file ImplicitizePointCloudAlgo.h.

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Member Function Documentation

void Go::ImplicitizePointCloudAlgo::usePointCloud

(

const PointCloud3D &

cloud

)

[inline]

Load the point cloud to be implicitized.

Parameters:

cloud

point cloud on PointCloud3D form

Definition at line 83 of file ImplicitizePointCloudAlgo.h.

void Go::ImplicitizePointCloudAlgo::setDegree

(

int

deg

)

[inline]

Choose the degree of the implicit representation.

Parameters:

deg

degree

Definition at line 88 of file ImplicitizePointCloudAlgo.h.

void Go::ImplicitizePointCloudAlgo::setTolerance

(

double

tol

)

[inline]

Set the tolerance.

Parameters:

tol

tolerance; default value is 3.0e-15

Definition at line 93 of file ImplicitizePointCloudAlgo.h.

void Go::ImplicitizePointCloudAlgo::perform

(

)

Perform the implicitization.

This function runs the implicitization algorithm.

void Go::ImplicitizePointCloudAlgo::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 105 of file ImplicitizePointCloudAlgo.h.

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

• ImplicitizePointCloudAlgo.h

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