A lie group approach to steerable filters

Recently, Freeman and Adelson (1991) and Simoncelli et al. (1992) published an approach to steer filters in their orientation and scale by Fourier decompositions. We present a generalization of their formalism based on Lie group theory. Within this framework we especially clarify the following point...

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Bibliographic Details
Published in:Pattern recognition letters 1995-11, Vol.16 (11), p.1165-1174
Main Authors: Michaelis, Markus, Sommer, Gerald
Format: Article
Language:English
Subjects:
Applied sciences
Artificial intelligence
Computer science
control theory
systems
Exact sciences and technology
Lie groups
Pattern recognition. Digital image processing. Computational geometry
Steerable filters
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Summary:Recently, Freeman and Adelson (1991) and Simoncelli et al. (1992) published an approach to steer filters in their orientation and scale by Fourier decompositions. We present a generalization of their formalism based on Lie group theory. Within this framework we especially clarify the following points: (I) the possible scope of steerability by Fourier decompositions. (2) approximate steerability with a limited number of basis functions, (3) the singularity that occurs when steering the scale.
ISSN:0167-8655
1872-7344
DOI:10.1016/0167-8655(95)00066-P