- Mathematical theory presented in
T. Chen and P. P. Vaidyanathan, "On the Choice of Rational Decimation Systems for Multidimensional Signals,"

*Int. Conf. on Acoustics, Speech, and Signal Processing*April, 1993, pp. 527-530, Minneapolis, MN. - Converted the mathematical theory into an automated graphical
procedure, implemented in the
Signal Processing Packages 2.9.5 for Mathematica, in
Brian L. Evans, "Interactive Design of Two-Dimensional Decimation Systems", Ch. 8 of

*A Knowledge-Based Environment for the Design and Analysis of Multidimensional Multirate Signal Processing Algorithms*, Ph. D. Thesis, Georgia Institute of Technology, Atlanta, GA, 30332-0250, June, 1993. - Decimator design procedure, based on a sub-optimal quadratic-time
algorithm to find an enclosing parallelogram based on rotated rectangles,
in
B. L. Evans and F. A. Sakarya, " Interactive Graphical Design of Two-Dimensional Compression Systems",

*Proc. of Second National Workshop on Signal Processing*, pp. 173-178, Marmaris, Turkey, April, 1994. - Optimal linear-time algorithm to find the minimal enclosing parallelogram
based on anti-podal pairs, with a
Sun Sparc demonstration program, in
C. Schwarz, J. Teich, E. Welzl,and B. L. Evans, "On Finding a Minimal Enclosing Parallelogram," Tech. Rep. TR-94-036, International Computer Science Institute, 1947 Center Street, Suite 600, Berkeley, CA, August, 1994.

- Decimator design, based on the above minimal enclosing parallelogram
algorithm and implemented in the
Signal Processing Packages 3.0
for Mathematica, in
B. L. Evans, J. Teich, and C. Schwarz, "Automated Design of Two-Dimensional Rational Decimation Systems,"

*Proc. of IEEE Asilomar Conf. on Signals, Systems, and Computers*, Oct. 31 - Nov. 2, Pacific Grove, CA, 1994. - Summary of the minimal enclosing parallelogram algorithm and
the decimator design procedure in
C. Schwarz, J. Teich, Alex Vainshtein, E. Welzl,and B. L. Evans, "Minimal Enclosing Parallelogram With Application",

*ACM Symposium on Computational Geometry*, Vancouver, Canada, June 5-7, 1995.