Title :
Canonical decomposition of steerable functions
Author :
Hel-Or, Yacov ; Teo, Patrick C.
Author_Institution :
NASA Ames Res. Center, Moffett Field, CA, USA
Abstract :
Steerable functions find application in numerous problems in image processing, computer vision and computer graphics. As such, it is important to develop the appropriate mathematical tools to analyze them. In this paper, we introduce the mathematics of Lie group theory in the context of steerable functions and present a canonical decomposition of these functions under any transformation group. The theory presented in this paper can be applied and extended in various ways
Keywords :
computer graphics; computer vision; image processing; Lie group theory; Lie-group theoretic approach; canonical decomposition; computer graphics; computer vision; image processing; mathematical tools; steerable functions; transformation group; Computer science; Computer vision; Convolution; Image processing; Kernel; Linear systems; NASA; Nonlinear filters; Pattern recognition; Singular value decomposition;
Conference_Titel :
Computer Vision and Pattern Recognition, 1996. Proceedings CVPR '96, 1996 IEEE Computer Society Conference on
Conference_Location :
San Francisco, CA
Print_ISBN :
0-8186-7259-5
DOI :
10.1109/CVPR.1996.517165
