Package toxi.geom.nurbs

Class BasicNurbsSurface

java.lang.Object

toxi.geom.nurbs.BasicNurbsSurface

All Implemented Interfaces:

NurbsSurface

public class BasicNurbsSurface
extends Object
implements NurbsSurface

A Basic NurbsSurface implementation.

Version:

1.2

Author:

sg

Constructor Summary

Constructors

Constructor	Description
BasicNurbsSurface(ControlNet cps, float[] uK, float[] vK, int p, int q)	Create a Nurbs Surface from the given ControlNet and the knot values of degree p in u direction and of degree q in v direction.
BasicNurbsSurface(ControlNet net, KnotVector u, KnotVector v)	Create a Nurbs form the Controlnet and the two Knot vectors.

Method Summary

Modifier and Type	Method	Description
ControlNet	getControlNet()	Get the Contol points of the NurbsSurface
int	getUDegree()	Get the degree in u direction
float[]	getUKnots()	Get the knot values in u direction
KnotVector	getUKnotVector()
int	getVDegree()	Get the degree in v direction
float[]	getVKnots()	Get the knot values in v direction
KnotVector	getVKnotVector()
Vec3D	pointOnSurface(double u, double v)
Vec3D	pointOnSurface(float u, float v)	Calculate point on surface for the given u and v values
Vec3D	pointOnSurface(float u, float v, Vec3D out)	Calculate point on surface for the given u and v values
Vec4D[][][][]	surfaceDerivCpts(int d, int r1, int r2, int s1, int s2)	Computes control points of dth derivative Piegel, L.

Methods inherited from class java.lang.Object

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

Constructor Details

BasicNurbsSurface

public BasicNurbsSurface(ControlNet cps,
 float[] uK,
 float[] vK,
 int p,
 int q)
                  throws IllegalArgumentException

Create a Nurbs Surface from the given ControlNet and the knot values of degree p in u direction and of degree q in v direction.

Parameters:

cps - ControlNet of the Nurbs

uK - Knot values in u direction

vK - Knot values in v direction

p - degree in u direction

q - degree in v direction

Throws:

IllegalArgumentException

BasicNurbsSurface

public BasicNurbsSurface(ControlNet net,
 KnotVector u,
 KnotVector v)
                  throws IllegalArgumentException

Create a Nurbs form the Controlnet and the two Knot vectors.

Parameters:

net - Contorl net of Nurbs

u - KnotVector in u direction

v - KnotVector in v direction

Throws:

IllegalArgumentException

Method Details

getControlNet

public ControlNet getControlNet()

Description copied from interface: NurbsSurface

Get the Contol points of the NurbsSurface

Specified by:

getControlNet in interface NurbsSurface

Returns:

ControlNet of the Nurbs

getUDegree

public int getUDegree()

Description copied from interface: NurbsSurface

Get the degree in u direction

Specified by:

getUDegree in interface NurbsSurface

Returns:

degree in u direction

getUKnots

public float[] getUKnots()

Description copied from interface: NurbsSurface

Get the knot values in u direction

Specified by:

getUKnots in interface NurbsSurface

Returns:

knot values in u direction

getUKnotVector

public KnotVector getUKnotVector()

Specified by:

getUKnotVector in interface NurbsSurface

getVDegree

public int getVDegree()

Description copied from interface: NurbsSurface

Get the degree in v direction

Specified by:

getVDegree in interface NurbsSurface

Returns:

degree in v direction

getVKnots

public float[] getVKnots()

Description copied from interface: NurbsSurface

Get the knot values in v direction

Specified by:

getVKnots in interface NurbsSurface

Returns:

knot values in v direction

getVKnotVector

public KnotVector getVKnotVector()

Specified by:

getVKnotVector in interface NurbsSurface

pointOnSurface

public Vec3D pointOnSurface(double u,
 double v)

Specified by:

pointOnSurface in interface NurbsSurface

pointOnSurface

public Vec3D pointOnSurface(float u,
 float v)

Description copied from interface: NurbsSurface

Calculate point on surface for the given u and v values

Specified by:

pointOnSurface in interface NurbsSurface

Parameters:

u - u value to caculate point from

v - v value to caculate point from

Returns:

calculated point

pointOnSurface

public Vec3D pointOnSurface(float u,
 float v,
 Vec3D out)

Description copied from interface: NurbsSurface

Calculate point on surface for the given u and v values

Specified by:

pointOnSurface in interface NurbsSurface

Parameters:

u - u value to caculate point from

v - v value to caculate point from

out - point to place result in.

surfaceDerivCpts

public Vec4D[][][][] surfaceDerivCpts(int d,
 int r1,
 int r2,
 int s1,
 int s2)

Description copied from interface: NurbsSurface

Computes control points of dth derivative
Piegel, L. The Nurbs Book, Algorithm A3.7 -> Page 114

Specified by:

surfaceDerivCpts in interface NurbsSurface

Parameters:

d - - dth derivative (0<=k+l<=d)

r1 - - from control point (u direction; 0 for all control points)

r2 - - to control point (u direction; n for all control points)

s1 - - from control point (v direction; 0 for all control points)

s2 - - to control point (v direction; n for all control points)

Returns:

ControlPoint4f[k][l][i][j] i,jth control point, differentiated k times
with respect to u and l times with respect to v