Package org.hipparchus.geometry.partitioning

Interface Transform<S extends Space,P extends Point<S,P>,H extends Hyperplane<S,P,H,I>,I extends SubHyperplane<S,P,H,I>,T extends Space,Q extends Point<T,Q>,F extends Hyperplane<T,Q,F,J>,J extends SubHyperplane<T,Q,F,J>>

Type Parameters:

S - Type of the origin space.

P - Type of the points in the origin space.

H - Type of the hyperplane in the origin space.

I - Type of the sub-hyperplane in the origin space.

T - Type of the destination sub-space.

Q - Type of the points in the destination sub-space.

F - Type of the hyperplane in the destination sub-space.

J - Type of the sub-hyperplane in the destination sub-space.

public interface Transform<S extends Space,P extends Point<S,P>,H extends Hyperplane<S,P,H,I>,I extends SubHyperplane<S,P,H,I>,T extends Space,Q extends Point<T,Q>,F extends Hyperplane<T,Q,F,J>,J extends SubHyperplane<T,Q,F,J>>

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

Method Summary

Modifier and Type	Method	Description
H	apply(H hyperplane)	Transform an hyperplane of a space.
J	apply(J sub, H original, H transformed)	Transform a sub-hyperplane embedded in an hyperplane.
P	apply(P point)	Transform a point of a space.

Method Details

apply

P apply(P point)

Transform a point of a space.

Parameters:

point - point to transform

Returns:

a new object representing the transformed point

apply

H apply(H hyperplane)

Transform an hyperplane of a space.

Parameters:

hyperplane - hyperplane to transform

Returns:

a new object representing the transformed hyperplane

apply

J apply(J sub,
 H original,
 H 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