Paper Info
Title
A Computational Approach to Steerable Functions
Abstract
We present a computational, group-theoretic approach to steerable functions. The approach is group-theoretic in that the treatment involves continuous transformation groups for which elementary Lie group theory may be applied. The approach is computational in that the theory is constructive and leads directly to a procedural implementation. For functions that are steerable with $n$ finite number of basis functions under a $k$-parameter group, the procedure is efficient and is guaranteed to return the minimum number of basis functions. If the function is not steerable, a numerical implementation of the procedure could also be used to compute basis functions that approximately steer the function over a range of transformation parameters. Examples of both applications are demonstrated.
Year
DOI
Venue
1997
10.1109/CVPR.1997.609341
CVPR
Keywords
Field
DocType
computational approach,finite number,group-theoretic approach,numerical implementation,basis function,minimum number,elementary lie group theory,procedural implementation,parameter group,continuous transformation group,steerable functions,transformation parameter,computer science,numerical analysis,kernel,functions,computer vision,basis functions,linear systems,lie groups,group theory,convolution,image processing,polynomials,lie group,application software,computer graphics
Computer vision,Lie group,Finite set,Polynomial,Constructive,Computer science,Image processing,Artificial intelligence,Basis function,Numerical analysis,Filter design
Conference
Volume
Issue
ISSN
1997
1
1063-6919
ISBN
Citations 
PageRank 
0-8186-7822-4
0
0.34
References 
Authors
4
2
Name
Order
Citations
PageRank
Patrick C. Teo1808.21
Yacov Hel-Or246140.74