vmm.spacecurve.parametric
Class ConstantCurvature

java.lang.Object
  vmm.core.Exhibit
      vmm.core3D.Exhibit3D
          vmm.spacecurve.SpaceCurve
              vmm.spacecurve.parametric.SpaceCurveParametric
                  vmm.spacecurve.parametric.ConstantCurvature

All Implemented Interfaces:

java.util.EventListener, javax.swing.event.ChangeListener, Decorateable, Parameterizable

public class ConstantCurvature
extends SpaceCurveParametric

Defines a space curve of constant curvature kappa by integrating the Frenet equations with kappa=aa and a torsion function tau(t) = bb + cc*sin(t) + dd*sin(2t) + ee*sin(3t). This Class behaves like an explicitly parametrized curve, because the program precomputes the Frenet frame on 100 points between tmin and tmax so that, when the Superclass calls the method Vector3D value(), the ODEsolver only has to integrate from the nearest precomputed point.

Nested Class Summary

Nested classes/interfaces inherited from class vmm.spacecurve.parametric.SpaceCurveParametric

SpaceCurveParametric.SpaceCurveParametricView, SpaceCurveParametric.SpaceCurveParametricViewAsTube

Field Summary

Fields inherited from class vmm.spacecurve.parametric.SpaceCurveParametric

tmax, tmin, tResolution, tube, tubeSides, tubeSize, tVals

Fields inherited from class vmm.spacecurve.SpaceCurve

points

Fields inherited from class vmm.core3D.Exhibit3D

defaultViewpoint, defaultViewUp, previousTransform3D

Fields inherited from class vmm.core.Exhibit

decorations, exhibitNeedsRedraw, isMorphing, morphingView, parameters, previousTransform

Constructor Summary

ConstantCurvature()

Method Summary

protected Vector3D[]	frenetODEstep2(double tInitial, double tFinal, Vector3D[] initialVal, int numSubdivision) Second order method, "Step to midpoint"
protected Vector3D[]	frenetODEstep4(double tInitial, double tFinal, Vector3D[] initialVal, int numSubdivision)
ActionList	getActionsForView(View view) Returns a list of actions that can be applied to this exhibit in the specified view.
int	getExampleNumberFunction()
Vector3D[]	makeRepereMobile(double t) Returns an array of four vectors representing the Repere Mobile to the curve at a specified t value.
void	parameterChanged(Parameter param, java.lang.Object oldValue, java.lang.Object newValue) This method will be called automatically when a parameter that has been added to this Exhibit is changed.
void	setExampleNumberFunction(int exampleNumber)
protected double	tau(double t)
protected Vector3D	value(double t) Returns a point (x(t), y(t), z(t)) on the curve, given a value of t.

Methods inherited from class vmm.spacecurve.parametric.SpaceCurveParametric

computeDrawData3D, deriv1, deriv2, doDraw3D, geographicCoordinates, getAlternativeViews, getBuildAnimation, getCenterOfPoints, getCreateAnimation, getDefaultView, getT, getTResolution, makePoints

Methods inherited from class vmm.spacecurve.SpaceCurve

getPoint, getPointCount

Methods inherited from class vmm.core3D.Exhibit3D

computeDrawDataHook, doDrawHook, getDefaultTransform, getDefaultViewpoint, getDefaultViewUp, setDefaultViewpoint, setDefaultViewUp

Methods inherited from class vmm.core.Exhibit

addChangeListener, addDecoration, addExtraXML, addParameter, addView, clearDecorations, computeDrawData, doDraw, fireExhibitChangeEvent, forceRedraw, getAdditionalAnimationsForView, getDecorations, getDefaultBackground, getDefaultForeground, getDefaultWindow, getFramesForMorphing, getMorphingAnimation, getName, getParameterByName, getParameters, getSettingsCommandsForView, getTitle, getUseFilmstripForMorphing, getViews, readExtraXML, removeChangeListener, removeDecoration, removeParameter, removeView, render, setDefaultBackground, setDefaultForeground, setDefaultWindow, setDefaultWindow, setFramesForMorphing, setName, setUseFilmstripForMorphing, stateChanged

Methods inherited from class java.lang.Object

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

Constructor Detail

ConstantCurvature

public ConstantCurvature()

Method Detail

getExampleNumberFunction

public int getExampleNumberFunction()

setExampleNumberFunction

public void setExampleNumberFunction(int exampleNumber)

getActionsForView

public ActionList getActionsForView(View view)

Description copied from class: SpaceCurveParametric

Returns a list of actions that can be applied to this exhibit in the specified view. The list depends on whether the view is of type SpaceCurveParametricView or View3DLit.

Overrides:

getActionsForView in class SpaceCurveParametric

parameterChanged

public void parameterChanged(Parameter param,
                             java.lang.Object oldValue,
                             java.lang.Object newValue)

Description copied from class: Exhibit

This method will be called automatically when a parameter that has been added to this Exhibit is changed. It should not ordinarily be called directly. Note that in fact, this method simply calls forceRedraw. This method is defined in the <@link Parameterizable} interface.

Specified by:

parameterChanged in interface Parameterizable

Overrides:

parameterChanged in class Exhibit

Parameters:

param - The Parmeter whose value has been set.

oldValue - The previous value of the parameter.

newValue - The new, current value of the parameter. This is not necessarily guaranteed to be different from the old value (although it is for parameters definedin the VMM core).

See Also:

Exhibit.forceRedraw()

tau

protected double tau(double t)

frenetODEstep2

protected Vector3D[] frenetODEstep2(double tInitial,
                                    double tFinal,
                                    Vector3D[] initialVal,
                                    int numSubdivision)

Second order method, "Step to midpoint"

frenetODEstep4

protected Vector3D[] frenetODEstep4(double tInitial,
                                    double tFinal,
                                    Vector3D[] initialVal,
                                    int numSubdivision)

makeRepereMobile

public Vector3D[] makeRepereMobile(double t)

Description copied from class: SpaceCurveParametric

Returns an array of four vectors representing the Repere Mobile to the curve at a specified t value. The array has length 4. The first vector is the point on the curve, and the other three vectors are the unit tangent, unit normal, and unit bi-normal to the curve at that point. The return value can be null, if the curve or its first or second derivative is not defined at the specified point. If the return value is non-null, then all four vectors in the returned array are non-null.

Overrides:

makeRepereMobile in class SpaceCurveParametric

value

protected Vector3D value(double t)

Description copied from class: SpaceCurveParametric

Returns a point (x(t), y(t), z(t)) on the curve, given a value of t. The return value can be null, indicating a break in the curve. Subclasses must define this method to specify a particular curve.

Specified by:

value in class SpaceCurveParametric