math
Class OrthonormalBasis

java.lang.Object
  math.OrthonormalBasis

public class OrthonormalBasis
extends java.lang.Object

an orthonormal basis

Field Summary

Vector3D	u
Vector3D	v
Vector3D	w

Constructor Summary

OrthonormalBasis()
constructor

OrthonormalBasis(OrthonormalBasis b)
copy constructor

OrthonormalBasis(Vector3D u, Vector3D v, Vector3D w)
constructor with three given vectors

Method Summary

void	createFromU(Vector3D u) create the onb from form the u vector
void	createFromW(Vector3D w) create the onb from form the w vector
void	flipW() flips the orthonormal basis and keeps the helicity
Matrix4x4	getBasisToCanonicalMatrix() creates the basis transformation matrix to change from the local basis to the canonical basis
Matrix4x4	getCanonicalToBasisMatrix() creates the basis transformation matrix to change from the canonical basis to the local basis
Vector3D	transform(Vector3D v) transforms a vector

Methods inherited from class java.lang.Object

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

Field Detail

u

public Vector3D u

v

public Vector3D v

w

public Vector3D w

Constructor Detail

OrthonormalBasis

public OrthonormalBasis()

constructor

OrthonormalBasis

public OrthonormalBasis(Vector3D u,
                        Vector3D v,
                        Vector3D w)

constructor with three given vectors

Parameters:

u - [in] u vector

v - [in] v vector

w - [in] w vector

OrthonormalBasis

public OrthonormalBasis(OrthonormalBasis b)

copy constructor

Parameters:

b - [in] the onb to copy

Method Detail

createFromU

public void createFromU(Vector3D u)

create the onb from form the u vector

Parameters:

u - [in] u vector

createFromW

public void createFromW(Vector3D w)

create the onb from form the w vector

Parameters:

w - [in] w vector

getBasisToCanonicalMatrix

public Matrix4x4 getBasisToCanonicalMatrix()

creates the basis transformation matrix to change from the local basis to the canonical basis

Returns:

transformation matrix

getCanonicalToBasisMatrix

public Matrix4x4 getCanonicalToBasisMatrix()

creates the basis transformation matrix to change from the canonical basis to the local basis

Returns:

transformation matrix

transform

public Vector3D transform(Vector3D v)

transforms a vector

Parameters:

v - [in] vector to transform

Returns:

transformed vector

flipW

public void flipW()

flips the orthonormal basis and keeps the helicity