A LIE GROUP-APPROACH TO STEERABLE FILTERS

Authors
MICHAELIS M SOMMER G
Citation
M. Michaelis et G. Sommer, A LIE GROUP-APPROACH TO STEERABLE FILTERS, Pattern recognition letters, 16(11), 1995, pp. 1165-1174
Citations number
12
Categorie Soggetti
Computer Sciences, Special Topics","Computer Science Artificial Intelligence
Journal title
Pattern recognition letters → ACNP
ISSN journal
01678655
Volume
16
Issue
11
Year of publication
1995
Pages
1165 - 1174
Database
ISI
SICI code
0167-8655(1995)16:11<1165:ALGTSF>2.0.ZU;2-C
Abstract
Recently, Freeman and Adelson (1991) and Simoncelli et al. (1992) publ ished an approach to steer filters in their orientation and scale by F ourier decompositions. We present a generalization of their formalism based on Lie group theory. Within this framework we especially clarify the following points: (1) the possible scope of steerability by Fouri er decompositions, (2) approximate steerability with a limited number of basis functions, (3) the singularity that occurs when steering the scale.