PMID: 15376583Sep 21, 2004Paper

Multiresolution moment filters: theory and applications

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Michael SühlingMichael Unser

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.

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Citations

Nov 4, 2011·The Review of Scientific Instruments·Florent NicoudJohn C Thomas
Sep 1, 2005·Journal of Medical Ultrasonics·Esmeraldo Dos Santos FilhoTakahiro Iwamoto
Nov 30, 2012·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Martino AlessandriniOlivier Bernard
Nov 10, 2007·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Oleg MichailovichAllen Tannenbaum
Aug 4, 2010·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Robert Sheng XuMagdy Salama
Apr 14, 2005·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Michael SühlingMichael Unser
Feb 17, 2017·International Journal for Numerical Methods in Biomedical Engineering·Sandro QueirósDaniel Barbosa
Aug 9, 2017·Computerized Medical Imaging and Graphics : the Official Journal of the Computerized Medical Imaging Society·Daniel BarbosaJan D'hooge

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