Package 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(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 Details

    • 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