dev.nm.algebra.linear.vector.doubles.operation

Class Projection

java.lang.Object

dev.nm.algebra.linear.vector.doubles.operation.Projection

public class Projection
extends Object

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

See Also:

Wikipedia: Vector projection

Constructor Summary

Constructors

Constructor and Description
Projection(Vector v, List<Vector> basis) Project a vector v onto a set of basis \(\{w_{i}\}\).
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 \(\{w_{i}\}\).

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 \(\{w_{i}\}\).
double	getProjectionLength(int i) Get the length of v projected on each dimension \(\{w_{i}\}\).
ImmutableVector	getProjectionVector(int i) Get the i-th projected vector of v on \(\{w_{i}\}\).

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,
                  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