com.degrafa.utilities.math.CatmullRomUtility

Package	com.degrafa.utilities.math
Class	public class CatmullRomUtility
Inheritance	CatmullRomUtility CatmullRom

Public Properties

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	Property		Defined by
		closed : Boolean	CatmullRom
		knots : Array	CatmullRom
		tangent : String	CatmullRom
		type : String	CatmullRom

Protected Properties

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	Property		Defined by
		__arcLength : Number	CatmullRomUtility
		__coef : Array	CatmullRom
		__index : Number	CatmullRom
		__integral : Gauss	CatmullRomUtility
		__invalidate : Boolean	CatmullRom
		__isClosed : Boolean	CatmullRom
		__knots : Number	CatmullRom
		__localParam : Number	CatmullRom
		__param : String	CatmullRomUtility
		__prevIndex : Number	CatmullRom
		__s : Number	CatmullRom
		__spline : CubicSpline	CatmullRomUtility
		__t : Number	CatmullRom
		__tangent : String	CatmullRom
		__theKnots : Array	CatmullRom
		__x : Array	CatmullRom
		__xHold : Number	CatmullRom
		__y : Array	CatmullRom
		__yHold : Number	CatmullRom

Public Methods

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	Method		Defined by
		CatmullRomUtility() CatmullRomUtility() - Construct a new Catmull-Rom spline	CatmullRomUtility
		addControlPoint(_xCoord:Number, _yCoord:Number):void addControlPoint - Add a control point	CatmullRom
		arcLength():Number arcLength Estimate arc-length of the entire curve by numerical integration	CatmullRomUtility
		arcLengthAt(_t:Number):Number arcLengthAt Return arc-length of curve segment on [0,_t].	CatmullRomUtility
		derivative(_x:Number):Number	CatmullRom
		eval(_x:Number):Number	CatmullRom
		getCoef(_segment:uint):Object	CatmullRom
		getControlPoint(_i:uint):Object	CatmullRom
		getX(_t:Number):Number getX - Return x-coordinate for a given t	CatmullRom
		getXPrime(_t:Number):Number getXPrime - Return dx/dt for a given t	CatmullRom
		getY(_t:Number):Number getY - Return y-coordinate for a given t	CatmullRom
		getYPrime(_t:Number):Number getYPrime - Return dy/dt for a given t	CatmullRom
		reset():void	CatmullRomUtility
		setOuterPoint(_flag:String, _xCoord:Number, _yCoord:Number):void setOuterPoint - Add control point outside the knot range	CatmullRom
		tAtKnot(_k:Number):Number tAtKnot - Return t-value at a particular knot index	CatmullRom

Protected Methods

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	Method		Defined by
		__closedSplineEndpoints():void	CatmullRom
		__computeCoef():void	CatmullRom
		__computeEndpoints():void	CatmullRom
		__integrand(_t:Number):Number	CatmullRomUtility
		__parameterize():void	CatmullRomUtility
		__segment():void	CatmullRom
		__setParam(_t:Number):void	CatmullRomUtility

Public Constants

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	Constant		Defined by
		ARC_LENGTH : String = "arclength" [static]	CatmullRom
		AUTO : String = "auto" [static]	CatmullRom
		EXPLICIT : String = "explicit" [static]	CatmullRom
		FIRST : String = "first" [static]	CatmullRom
		LAST : String = "last" [static]	CatmullRom
		UNIFORM : String = "uniform" [static]	CatmullRom

Property detail

__arcLength

property

protected var __arcLength:Number

__integral

property

protected var __integral:Gauss

__param

property

protected var __param:String

__spline

property

protected var __spline:CubicSpline

Constructor detail

CatmullRomUtility

()

constructor

public function CatmullRomUtility()

CatmullRomUtility() - Construct a new Catmull-Rom spline

Method detail

__integrand

()

method

protected function __integrand(_t:Number):NumberParameters

_t:Number

Returns

Number

__parameterize

()

method

protected override function __parameterize():void

__setParam

()

method

protected override function __setParam(_t:Number):voidParameters

_t:Number

arcLength

()

method

public function arcLength():Number

arcLength Estimate arc-length of the entire curve by numerical integration

Returns

Number — Number: Estimate of total arc length of the spline over [0,1]

arcLengthAt

()

method

public function arcLengthAt(_t:Number):Number

arcLengthAt Return arc-length of curve segment on [0,_t].

Parameters

_t:Number — - parameter value to describe partial curve whose arc-length is desired

Returns

Number — Number: Estimate of arc length of curve segment from t=0 to t=_t.

reset

()

method

public override function reset():void