Class Cah

java.lang.Object
All Implemented Interfaces:
java.io.Serializable, Component

public class Cah
extends Projecter
This class provides for the translation between coordinates and Cahill style Octahedron tangent plane projection. .

The projection is centered at 0,45 The projection is bounded by a rectangle with dimensions 6 sqrt(2) x 2 sqrt(6) which is filled in the following fashion. 5 4 2 3 5 5 4 4 2 2 3 3 5 5 5 4 4 4 2 2 2 3 3 3 5 5 4 4 6 0 2 2 3 3 5 4 6 6 0 0 2 3 6 6 6 0 0 0 7 6 6 0 0 1 7 7 6 0 1 1 7 7 7 1 1 1 7 7 1 1 7 1 Note that each number is intended to represent an equilateral triangle so that the representation here is only very approximate. The center of the projection is the middle of the boundary between triangles 0 and 6. The north pole is the intersection of triangles 0,2,4 and 6, while the south pole is at the lonely points of 1,3,5,7 The northern octants are even while the southern octants are odd. You can envisage this figure as unwrapping the four northern octants of an octahedron and pressing them flat and then flipping the southern octants on the equator they share with a northern octant. Note that this projection is staddleable but the straddle is not currently available.

See Also:
Serialized Form
  • Constructor Details

    • Cah

      public Cah()
  • Method Details

    • getName

      public java.lang.String getName()
      Description copied from interface: Component
      Get the name of this component.
    • getDescription

      public java.lang.String getDescription()
      Description copied from interface: Component
      Get the description of this component.
    • isInverse

      public boolean isInverse​(Transformer obj)
      Description copied from class: Transformer
      Are these two transformations, inverses of each other? This method is used to optimize a series of transformations where transformations.
      Specified by:
      isInverse in class Transformer
    • inverse

      public Deprojecter inverse()
      Description copied from class: Projecter
      Get the inverse
      Specified by:
      inverse in class Projecter
    • transform

      public void transform​(double[] unit, double[] plane)
      Description copied from class: Transformer
      Convert a single point where the output vector is supplied.
      Specified by:
      transform in class Transformer
      Parameters:
      unit - The input vector.
      plane - The output vector, it may be the same as the input vector if the dimensionalities are the same. All transformers are expected to work with aliased inputs and output.
    • main

      public static void main​(java.lang.String[] args) throws java.lang.Exception
      Throws:
      java.lang.Exception