Title :
Design of multiparameter steerable functions using cascade basis reduction
Author :
Teo, Patrick C. ; Hel-Or, Yacov
Author_Institution :
Dept. of Comput. Sci., Stanford Univ., CA, USA
fDate :
6/1/1999 12:00:00 AM
Abstract :
An efficient method of computing the least-squares optimal basis functions to steer any function locally is presented. The method combines the Lie group-theoretic and the singular value decomposition approaches. Its efficiency is demonstrated with the design of basis functions to steer a Gabor function under the four-parameter linear transformation group
Keywords :
Lie groups; adaptive filters; cascade systems; least squares approximations; optimisation; singular value decomposition; Gabor function; Lie group theory; cascade basis reduction; four-parameter linear transformation group; least-squares optimal basis functions; multiparameter steerable function design; singular value decomposition; Adaptive filters; Application software; Frequency; Gabor filters; Layout; Matrix decomposition; Nonlinear filters; Pattern analysis; Shape; Singular value decomposition;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
