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We present a wreath product approach for matched filtering to detect rotated copies of a template in an image. We view the image as a homogeneous space for a wreath product, a noncommutative symmetry group. The corresponding Fourier analysis has a natural multiresolution structure and accompanying efficient algorithm which we explain and illustrate with an example. The associated matched filter is a new example of the use of a noncommutative convolution for image processing. Numerical experiments are described in which this noncommutative approach outperforms standard Fourier-based methods
Published in:
Acoustics, Speech, and Signal Processing, 1996. ICASSP-96. Conference Proceedings., 1996 IEEE International Conference on
(Volume:6
)
Date of Conference: 7-10 May 1996
- Page(s):
- 3581 - 3584 vol. 6
- Meeting Date :
- 07 May 1996-10 May 1996
- ISSN :
- 1520-6149
- Print ISBN:
- 0-7803-3192-3
- INSPEC Accession Number:
- 5501560
- Conference Location :
- Atlanta, GA
- Digital Object Identifier :
- 10.1109/ICASSP.1996.550803
- Product Type:
- Conference Publications
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