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Proceedings Paper

Multiscale moment transforms over the integer lattice
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Paper Abstract

Multiscale moment-based transformations, such as the multiscale Harris corner point detector, have been used in image processing applications for several years. Typically, such transforms are used to identify objects-of-interest in a given image, which, in turn, facilitate target tracking and registration. Though these transforms are usually applied to digitally sampled images, many of their properties were previously only known to hold for images over continuous domains. We prove that many of these properties indeed generalize to images over discrete domains. In particular, after introducing a mathematically well-behaved method for rotating an image over the two-dimensional integer lattice, we show that this rotation commutes with the moment-based transform in the expected manner.

Paper Details

Date Published: 20 September 2007
PDF: 8 pages
Proc. SPIE 6701, Wavelets XII, 67011N (20 September 2007); doi: 10.1117/12.730819
Show Author Affiliations
Matthew Fickus, Air Force Institute of Technology (United States)
Guna S. Seetharaman, Air Force Institute of Technology (United States)
Mark E. Oxley, Air Force Institute of Technology (United States)


Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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