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.
Note that this interface is not intended to be implemented by Apache Commons Math users, it is only intended to be implemented within the library itself. New methods may be added even for minor versions, which breaks compatibility for external implementations.
Hyperplane
| Modifier and Type | Method and Description |
|---|---|
| public Point | |
| public Point | Returns: (n-1)-dimension point of the sub-space corresponding to the specified space pointn-dimension point of the space point)Transform a space point into a sub-space point. |
| toSpace | back to summary |
|---|---|
| public Point Transform a sub-space point into a space point.
| |
| toSubSpace | back to summary |
|---|---|
| public Point Transform a space point into a sub-space point. | |