A LIE GROUP-APPROACH TO STEERABLE FILTERS
A LIE GROUP-APPROACH TO STEERABLE FILTERS
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DOI：
10.1016/0167-8655(95)00066-p
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发表时间：
1995-11-01
影响因子：
5.1
通讯作者：
SOMMER, G
中科院分区：
文献类型：
--
作者：
MICHAELIS, M;SOMMER, G
最近，Freeman和Adelson（1991）和Simoncelli等人（1992）发表了一种通过傅立叶分解来控制滤波器方向和尺度的方法。我们提出了一个推广的形式主义的基础上李群理论。在这个框架内，我们特别澄清了以下几点：（1）通过傅立叶分解的可操纵性的可能范围，（2）用有限数量的基函数的近似可操纵性，（3）当操纵尺度时发生的奇异性。
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.