Multiscale moment transforms over the integer lattice

Matthew Fickus; Guna S. Seetharaman; Mark E. Oxley

doi:10.1117/12.730819

20 September 2007 Multiscale moment transforms over the integer lattice

Matthew Fickus, Guna S. Seetharaman, Mark E. Oxley

Proceedings Volume 6701, Wavelets XII; 67011N (2007) https://doi.org/10.1117/12.730819
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

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.

Citation Download Citation

Matthew Fickus, Guna S. Seetharaman, and Mark E. Oxley "Multiscale moment transforms over the integer lattice", Proc. SPIE 6701, Wavelets XII, 67011N (20 September 2007); https://doi.org/10.1117/12.730819

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