de.grogra.vecmath.geom
Class Supershape

java.lang.Object
  de.grogra.vecmath.geom.VolumeBase
      de.grogra.vecmath.geom.TransformableVolume
          de.grogra.vecmath.geom.ImplicitVolume
              de.grogra.vecmath.geom.Supershape

All Implemented Interfaces:

Volume

public class Supershape
extends ImplicitVolume

This class represents the geometry of a supershape. In local object coordinates, its center is the origin, its radius is 1. An implementation of Johan Gielis's Superformula which was published in the American Journal of Botany 90(3): 333–338. 2003. INVITED SPECIAL PAPER A GENERIC GEOMETRIC TRANSFORMATION THAT UNIFIES A WIDE RANGE OF NATURAL AND ABSTRACT SHAPES

Author:

MH

Nested Class Summary

Nested classes/interfaces inherited from class de.grogra.vecmath.geom.ImplicitVolume

ImplicitVolume.Locals

Field Summary

protected double	a
protected double	b
protected java.lang.ThreadLocal<ImplicitVolume.Locals>	locals2
protected double	m1
protected double	m2
protected double	n11
protected double	n12
protected double	n13
protected double	n21
protected double	n22
protected double	n23

Fields inherited from class de.grogra.vecmath.geom.ImplicitVolume

locals

Fields inherited from class de.grogra.vecmath.geom.TransformableVolume

m00, m01, m02, m10, m11, m12, m20, m21, m22, t0, t1, t2

Constructor Summary

Supershape(float a, float b, float m1, float n11, float n12, float n13, float m2, float n21, float n22, float n23)

Method Summary

protected double	f(double x, double y, double z)
protected Range	f(Range x, Range y, Range z) implicit function of the supershape
void	getExtent(Tuple3d min, Tuple3d max, Variables temp) Computes the extent of this volume, i.e., an axis-aligned bounding box between min and max.

Methods inherited from class de.grogra.vecmath.geom.ImplicitVolume

boxContainsBoundary, computeIntersections, computeNormal, computeTangents, computeUV, contains

Methods inherited from class de.grogra.vecmath.geom.TransformableVolume

getDiscExtent, getDiscsExtent, getFrobeniusNorm, getObjectToWorldRotationScale, getTransformation, invalidate, invTransformPoint, scale, setTransformation, setTransformation, transformPoint, transformTranspose, transformVector, translate

Methods inherited from class de.grogra.vecmath.geom.VolumeBase

addConvexIntersections, getId, operator$and, operator$com, operator$or, operator$sub, setId

Methods inherited from class java.lang.Object

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

Field Detail

a

protected double a

b

protected double b

locals2

protected final java.lang.ThreadLocal<ImplicitVolume.Locals> locals2

m1

protected double m1

m2

protected double m2

n11

protected double n11

n12

protected double n12

n13

protected double n13

n21

protected double n21

n22

protected double n22

n23

protected double n23

Constructor Detail

Supershape

public Supershape(float a,
                  float b,
                  float m1,
                  float n11,
                  float n12,
                  float n13,
                  float m2,
                  float n21,
                  float n22,
                  float n23)

Method Detail

f

protected double f(double x,
                   double y,
                   double z)

Specified by:

f in class ImplicitVolume

f

protected Range f(Range x,
                  Range y,
                  Range z)

implicit function of the supershape

Specified by:

f in class ImplicitVolume

Parameters:

x, - y, z

Returns:

>0 outside, =0 surface, <0 inside

getExtent

public void getExtent(Tuple3d min,
                      Tuple3d max,
                      Variables temp)

Description copied from interface: Volume

Computes the extent of this volume, i.e., an axis-aligned bounding box between min and max.

Specified by:

getExtent in interface Volume

Overrides:

getExtent in class ImplicitVolume

Parameters:

min - minimum coordinates of bounding box are placed in here

max - maximum coordinates of bounding box are placed in here

temp - has to be provided by the invoker, may be used in implementations