de.jreality.geometry

Class BezierPatchMesh

java.lang.Object

de.jreality.geometry.BezierPatchMesh

public class BezierPatchMesh
extends Object

This class implements Bezier tensor product surfaces of arbitrary dimension. The underlying Bezier curves can be arbitrary degree, and must not be the same. For example, it is possible to have quadratic curves in the u parameter direction and cubics in the v direction.

Instances are immutable. The only available constructor (see BezierPatchMesh(int, int, double[][][]) specifies the two degrees (u and v respectively) and an array of control points. Each row of control points specifies one u-curve; each column specifies a v-curve. The control points can be n-dimensional. The control points must be consistent with the degree specification. That is, the number of control points in the u-direction must be 1 more than a multiple of the u-degree; and similarly for v. The simplest case is a single patch; for a cubic Bezier, this is a 4x4 array of control points.

Currently the only operations supported on the mesh is binary refinement: refineU(), refineV(), and refine().

TODO: add a tessellate method which creates an nxn QuadMesh from each set of control points in the mesh.

TODO: implement adaptive refinement. This will require a new data structure probably a quad-tree to store the differently-refined levels of the original patch mesh.

Author:

Charles Gunn

Constructor Summary

Constructors

Constructor and Description
BezierPatchMesh(int uDegree, int vDegree, double[][][] cp)

Method Summary

Modifier and Type	Method and Description
double[][][]	getControlPoints()
int	getUDegree()
int	getVDegree()
void	refine()
void	refineU()
void	refineV()
static IndexedFaceSet	representBezierPatchMeshAsQuadMesh(BezierPatchMesh bpm)
static QuadMeshFactory	representBezierPatchMeshAsQuadMesh(BezierPatchMesh bpm, int metric)
static QuadMeshFactory	representBezierPatchMeshAsQuadMeshFactory(QuadMeshFactory qmf, BezierPatchMesh bpm, int metric)

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

BezierPatchMesh

public BezierPatchMesh(int uDegree,
                       int vDegree,
                       double[][][] cp)

Method Detail

refineU

public void refineU()

refineV

public void refineV()

refine

public void refine()

getControlPoints

public double[][][] getControlPoints()

Returns:

Returns the controlPoints.

getUDegree

public int getUDegree()

Returns:

Returns the uDegree.

getVDegree

public int getVDegree()

Returns:

Returns the vDegree.

representBezierPatchMeshAsQuadMesh

public static IndexedFaceSet representBezierPatchMeshAsQuadMesh(BezierPatchMesh bpm)

representBezierPatchMeshAsQuadMesh

public static QuadMeshFactory representBezierPatchMeshAsQuadMesh(BezierPatchMesh bpm,
                                                                 int metric)

representBezierPatchMeshAsQuadMeshFactory

public static QuadMeshFactory representBezierPatchMeshAsQuadMeshFactory(QuadMeshFactory qmf,
                                                                        BezierPatchMesh bpm,
                                                                        int metric)