thirdparty

Class PolarDecomposition

java.lang.Object

thirdparty.PolarDecomposition

public final class PolarDecomposition
extends java.lang.Object

References:

• Paper: Ken Shoemake and Tom Duff. Matrix Animation and Polar Decomposition.
  Proceedings of Graphics Interface 1992.
• Book: Graphic Gems IV III.4 Polar Matrix Decomposition.
• c implementation by Ken Shoemake, 1993 (Decompose.c, Decompose.h and QuatTypes.h).

Author:

Ken Shoemake, 1993 (original c implementation found in Decompose.c and Decompose.h)

Method Summary

Modifier and Type	Method and Description
static void	decomp_affine(Mat4x4 M, Transform dst) Decompose 4x4 affine matrix A as TFRUK(U transpose), where t contains the translation components, q contains the rotation R, u contains U, k contains scale factors, and f contains the sign of the determinant.

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Detail

decomp_affine

public static void decomp_affine(Mat4x4 M,
                                 Transform dst)

Decompose 4x4 affine matrix A as TFRUK(U transpose), where t contains the translation components, q contains the rotation R, u contains U, k contains scale factors, and f contains the sign of the determinant.
Assumes A transforms column vectors in right-handed coordinates.

See Ken Shoemake and Tom Duff. Matrix Animation and Polar Decomposition.
Proceedings of Graphics Interface 1992.