Transform (Apache Commons Math 4.0-SNAPSHOT API)

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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(Point) 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

Method Summary

Methods
Modifier and Type	Method and Description
`Hyperplane<S>`	`apply(Hyperplane<S> hyperplane)` Transform an hyperplane of a space.
`Point<S>`	`apply(Point<S> point)` Transform a point of a space.
`SubHyperplane<T>`	`apply(SubHyperplane<T> sub, Hyperplane<S> original, Hyperplane<S> transformed)` Transform a sub-hyperplane embedded in an hyperplane.

- Method Detail
  - apply
```
Point<S> apply(Point<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

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