A LIE GROUP-APPROACH TO STEERABLE FILTERS

被引：37
作者：
MICHAELIS, M [1 ]
SOMMER, G [1 ]
机构：
[1] CHRISTIAN ALBRECHTS UNIV KIEL,DEPT INFORMAT,D-24105 KIEL,GERMANY
来源：
PATTERN RECOGNITION LETTERS | 1995年 / 16卷 / 11期
关键词：
STEERABLE FILTERS; LIE GROUPS;
D O I：
10.1016/0167-8655(95)00066-P
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
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: (1) 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.
引用
收藏
页码：1165 / 1174
页数：10
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