Title :
A group theoretical approach to filter design
Author_Institution :
Linkoping Univ., Sweden
Abstract :
The author investigates the following fundamental pattern recognition problem. He assumes that he has a set of signals or patterns, denoted by S, and an unknown pattern p. The problem is to decide if P∈S or p∉ S. The author assumes further that S is symmetrical or regular in a group-theoretical sense. Harmonic analysis and the theory of group representations are applied to construct filter processes that se the regularity of S in an optimal way. Results are presented for 2-D and 3-D rotation-invariant filters
Keywords :
group theory; multidimensional digital filters; pattern recognition; 2D rotation invariant filters; 3-D rotation-invariant filters; filter design; group representations; group theoretical approach; pattern recognition; Filtering theory; Filters; Harmonic analysis; Image edge detection; Pattern recognition; Prototypes;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1989. ICASSP-89., 1989 International Conference on
Conference_Location :
Glasgow
DOI :
10.1109/ICASSP.1989.266749
