Masters Theses

Date of Award

3-1983

Degree Type

Thesis

Degree Name

Master of Science

Major

Computer Science

Major Professor

R. C. Gonzalez

Committee Members

M. G. Thomason, C. G. Wagner

Abstract

Properties of the reduced semi-invariants of the interclass Mahalanobis distance (RSIM) are developed and used for pattern recognition in this work. These properties are understood in terms of the parameters of the Gaussian N dimensional statistical populations used to compute the RSIM. Some graphical representations of the RSIM are presented which serve as a basic framework for the use of the RSIM in pattern recognition. The implementation of computer programs to calculate the RSIM is discussed in addition to a procedure to compute the central moments of the Mahalanobis distance from the RSIM which involves solving a linear Diophantine equation iteratively. The results of a recognition program utilizing the RSIM is then presented. This program represents a typical use of the RSIM in a pattern recognition system designed to characterize changes occurring to sets of statistical data with time. A summary of the usefulness of the RSIM is then given.

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