Module omix.api

Package omix.util.math.curves

Class BezierSectionComputer<T extends AbstractDoubleVec<T>>

java.lang.Object

omix.util.math.curves.CurveSectionComputer<T>

omix.util.math.curves.BezierSectionComputer<T>

Type Parameters:

T - Vector type in 2D or 3D coordinates

public class BezierSectionComputer<T extends AbstractDoubleVec<T>>
extends CurveSectionComputer<T>

This class represents a Bézier curve section consisting of two (a), three (b) or four (c) control points.

a) b) c)

Additionally, this class can compute n point Bézier polynominals.

Author:

Dr. Peter Droste, Omix Visualization

Constructor Summary

Constructors

Constructor	Description
BezierSectionComputer(T[] bezier)

Method Summary

Modifier and Type	Method	Description
T	accelerationAt(double t)	returns the acceleration (second derivative) of the curve at the parameter t
double	getCurveSectionLength()	returns the curve section length
T	getPoint(int i)	This method returns the i'th control point.
boolean	isCubic()	Returns true if curve section is a cubic curve.
boolean	isLine()	Returns true if curve section is a line.
boolean	isQuad()	Returns true if curve section is a quad curve.
T	pointAt(double t)	returns the point of the curve at the parameter t
T	tangentAt(double t)	returns the point of the curve at the parameter t

Methods inherited from class omix.util.math.curves.CurveSectionComputer

getT, getT, isArc

Methods inherited from class java.lang.Object

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

Constructor Details

BezierSectionComputer

public BezierSectionComputer(T[] bezier)

Method Details

pointAt

public T pointAt(double t)

returns the point of the curve at the parameter t

Specified by:

pointAt in class CurveSectionComputer<T extends AbstractDoubleVec<T>>

Parameters:

t - parameter

Returns:

point

See Also:

CurveSectionComputer.pointAt(double)

tangentAt

public T tangentAt(double t)

returns the point of the curve at the parameter t

Specified by:

tangentAt in class CurveSectionComputer<T extends AbstractDoubleVec<T>>

Parameters:

t - parameter

Returns:

point

See Also:

CurveSectionComputer.tangentAt(double)

accelerationAt

public T accelerationAt(double t)

returns the acceleration (second derivative) of the curve at the parameter t

Specified by:

accelerationAt in class CurveSectionComputer<T extends AbstractDoubleVec<T>>

Parameters:

t - parameter

Returns:

second derivative

See Also:

CurveSectionComputer.accelerationAt(double)

getCurveSectionLength

public double getCurveSectionLength()

returns the curve section length

Specified by:

getCurveSectionLength in class CurveSectionComputer<T extends AbstractDoubleVec<T>>

Returns:

length

See Also:

CurveSectionComputer.getCurveSectionLength()

isLine

public boolean isLine()

Returns true if curve section is a line. This is the case if the curve has only two control points.

Overrides:

isLine in class CurveSectionComputer<T extends AbstractDoubleVec<T>>

Returns:

line

See Also:

CurveSectionComputer.isLine()

isQuad

public boolean isQuad()

Returns true if curve section is a quad curve. This is the case if the curve has three control points.

Overrides:

isQuad in class CurveSectionComputer<T extends AbstractDoubleVec<T>>

Returns:

quad

See Also:

CurveSectionComputer.isQuad()

isCubic

public boolean isCubic()

Returns true if curve section is a cubic curve. This is the case if the curve has four control points.

Overrides:

isCubic in class CurveSectionComputer<T extends AbstractDoubleVec<T>>

Returns:

cubic

See Also:

CurveSectionComputer.isCubic()

getPoint

public T getPoint(int i)

This method returns the i'th control point.

Parameters:

i - index of the point

Returns:

i'th control point