com.numericalmethod.suanshu.vector.doubles.dense.operation
Class Projection

java.lang.Object
  com.numericalmethod.suanshu.vector.doubles.dense.operation.Projection

public class Projection
extends java.lang.Object

Project a vector v on another vector w or a set of vectors (basis) {wi}.

See Also:

Wikipedia: Vector projection

Field Summary

double[]	length the length of v projected on each dimension {wi}
Vector	orthogonalVector the orthogonal vector which is equal to v minus the projection of v on {wi}.
Vector[]	projVector the projected vectors of v on {wi} It lies on the hyperplane of {wi}.

Constructor Summary

Projection(Vector v, Vector basis)
Construct a projection of a vector v onto another vector.

Projection(Vector v, Vector[] basis)
Construct a projection of a vector v onto a set of basis {wi}.

Projection(Vector v, VectorList basis)
Construct a projection of a vector v onto a set of basis {wi}.

Method Summary

Methods inherited from class java.lang.Object

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

Field Detail

orthogonalVector

public final Vector orthogonalVector

the orthogonal vector which is equal to v minus the projection of v on {wi}.

length

public final double[] length

the length of v projected on each dimension {wi}

projVector

public final Vector[] projVector

the projected vectors of v on {wi}

It lies on the hyperplane of {wi}.

Constructor Detail

Projection

public Projection(Vector v,
                  VectorList basis)

Construct a projection of a vector v onto a set of basis {wi}.

Parameters:

v - a vector

basis - {wi}

Projection

public Projection(Vector v,
                  Vector[] basis)

Construct a projection of a vector v onto a set of basis {wi}.

Parameters:

v - a vector

basis - an array of {wi}

Projection

public Projection(Vector v,
                  Vector basis)

Construct a projection of a vector v onto another vector.

Parameters:

v - a vector

basis - another vector w