NDLI: Multiresolution moment filters: theory and applications

Content Provider	IEEE Xplore Digital Library
Author	Suhling, M. Arigovindan, M. Hunziker, P. Unser, M.
Copyright Year	1992
Abstract	We introduce local weighted geometric moments that are computed from an image within a sliding window at multiple scales. When the window function satisfies a two-scale relation, we prove that lower order moments can be computed efficiently at dyadic scales by using a multiresolution wavelet-like algorithm. We show that B-splines are well-suited window functions because, in addition to being refinable, they are positive, symmetric, separable, and very nearly isotropic (Gaussian shape). We present three applications of these multiscale local moments. The first is a feature-extraction method for detecting and characterizing elongated structures in images. The second is a noise-reduction method which can be viewed as a multiscale extension of Savitzky-Golay filtering. The third is a multiscale optical-flow algorithm that uses a local affine model for the motion field, extending the Lucas-Kanade optical-flow method. The results obtained in all cases are promising.
Sponsorship	IEEE Signal Processing Society
Page Count	12
File Size	708549
Starting Page	484
Ending Page	495
File Format	PDF
ISSN	10577149
Volume Number	13
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-04-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Filtering theory Optical filters Spline Shape Geometrical optics Image motion analysis Biomedical optical imaging Image texture analysis Image reconstruction Algorithm design and analysis
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Software

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