org.apache.commons.math3.geometry.partitioning

## Interface Embedding<S extends Space,T extends Space>

• Type Parameters:
S - Type of the embedding space.
T - Type of the embedded sub-space.
All Known Implementing Classes:
Line, Line, Plane

public interface Embedding<S extends Space,T extends Space>
This interface defines mappers between a space and one of its sub-spaces.

Sub-spaces are the lower dimensions subsets of a n-dimensions space. The (n-1)-dimension sub-spaces are specific sub-spaces known as hyperplanes. This interface can be used regardless of the dimensions differences. As an example, Line in 3D implements Embedding<Vector3D, {link org.apache.commons.math3.geometry.euclidean.oned.Vector1D Vector1D>, i.e. it maps directly dimensions 3 and 1.

In the 3D euclidean space, hyperplanes are 2D planes, and the 1D sub-spaces are lines.

Since:
3.0
Version:
$Id: Embedding.java 1416643 2012-12-03 19:37:14Z tn$