org.apache.commons.math3.geometry.partitioning
Interface Transform<S extends Space,T extends Space>

Type Parameters:

S - Type of the embedding space.

T - Type of the embedded sub-space.

public interface Transform<S extends Space,T extends Space>

This interface represents an inversible affine transform in a space.

Inversible affine transform include for example scalings, translations, rotations.

Transforms are dimension-specific. The consistency rules between the three apply methods are the following ones for a transformed defined for dimension D:

• the transform can be applied to a point in the D-dimension space using its apply(Vector) method
• the transform can be applied to a (D-1)-dimension hyperplane in the D-dimension space using its apply(Hyperplane) method
• the transform can be applied to a (D-2)-dimension sub-hyperplane in a (D-1)-dimension hyperplane using its apply(SubHyperplane, Hyperplane, Hyperplane) method

Since:

3.0

Version:

$Id: Transform.java 3720 2012-03-16 16:34:17Z CardosoP $

Method Summary

Hyperplane<S>	apply(Hyperplane<S> hyperplane) Transform an hyperplane of a space.
SubHyperplane<T>	apply(SubHyperplane<T> sub, Hyperplane<S> original, Hyperplane<S> transformed) Transform a sub-hyperplane embedded in an hyperplane.
Vector<S>	apply(Vector<S> point) Transform a point of a space.

Method Detail

apply

Vector<S> apply(Vector<S> point)

Transform a point of a space.

Parameters:

point - point to transform

Returns:

a new object representing the transformed point

apply

Hyperplane<S> apply(Hyperplane<S> hyperplane)

Transform an hyperplane of a space.

Parameters:

hyperplane - hyperplane to transform

Returns:

a new object representing the transformed hyperplane

apply

SubHyperplane<T> apply(SubHyperplane<T> sub,
                       Hyperplane<S> original,
                       Hyperplane<S> transformed)

Transform a sub-hyperplane embedded in an hyperplane.

Parameters:

sub - sub-hyperplane to transform

original - hyperplane in which the sub-hyperplane is defined (this is the original hyperplane, the transform has not been applied to it)

transformed - hyperplane in which the sub-hyperplane is defined (this is the transformed hyperplane, the transform has been applied to it)

Returns:

a new object representing the transformed sub-hyperplane