com.numericalmethod.suanshu.vector.doubles.operation

Class Projection

java.lang.Object

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

All Implemented Interfaces:

java.io.Serializable

public class Projection
extends java.lang.Object
implements java.io.Serializable

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

See Also:

Wikipedia: Vector projection, Serialized Form

Constructor Summary

Constructors

Constructor and Description
Projection(Vector v, java.util.List<Vector> basis) Project a vector v onto a set of basis {wi}.
Projection(Vector v, Vector w) Project a vector v onto another vector.
Projection(Vector v, Vector[] basis) Project a vector v onto a set of basis {wi}.

Method Summary

Modifier and Type	Method and Description
ImmutableVector	getOrthogonalVector() Get the orthogonal vector which is equal to v minus the projection of v on {wi}.
double	getProjectionLength(int i) Get the length of v projected on each dimension {wi}.
ImmutableVector	getProjectionVector(int i) Get the i-th projected vector of v on {wi}.

Methods inherited from class java.lang.Object

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

Constructor Detail

Projection

public Projection(Vector v,
                  java.util.List<Vector> basis)

Project a vector v onto a set of basis {w_i}.

Parameters:

v - a vector

basis - {w_i}

Projection

public Projection(Vector v,
                  Vector[] basis)

Project a vector v onto a set of basis {w_i}.

Parameters:

v - a vector

basis - {w_i}

Projection

public Projection(Vector v,
                  Vector w)

Project a vector v onto another vector.

Parameters:

v - a vector

w - another vector

Method Detail

getOrthogonalVector

public ImmutableVector getOrthogonalVector()

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

Returns:

the orthogonal vector

getProjectionLength

public double getProjectionLength(int i)

Get the length of v projected on each dimension {w_i}.

Parameters:

i - an index, counting from 0

Returns:

the i-th projection length

getProjectionVector

public ImmutableVector getProjectionVector(int i)

Get the i-th projected vector of v on {w_i}. It lies on the hyperplane of {w_i}.

Parameters:

i - an index, counting from 0

Returns:

the i-th projection vector