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Proceedings Paper

Cosine transform generalized to lie groups SU(2)xSU(2), O(5), and SU(2)xSU(2)xSU(2): application to digital image processing
Author(s): Mickaël Germain; Jiri Patera; Yannick Allard
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Paper Abstract

We propose to apply three of the multiple variants of the 2 and 3-dimensional of the cosine transform. We consider the Lie groups leading to square lattices, namely SU(2)xSU(2) and O(5) in the 2-dimensional space, and the cubic lattice SU(2)xSU(2)xSU(2) in the 3-dimensional space. We aim at evaluating the benefits of some Discrete Group Transform (DGT) techniques, in particular the Continuous Extension of the Discrete Cosine Transform (CEDCT), and at developing new techniques that refine image quality: this refinement is called the high-resolution process. This highest quality is useful to increase the effectiveness of standard features extraction, fusion and classification algorithms. All algorithms based on the 2 and 3-dimensional DGT have the advantage to give the exact value of the original data at the points of the grid lattice, and interpolate well the data values between the grid points. The quality of the interpolation is comparable with the most efficient data interpolation, which are currently used for purposes of image zooming. In our first application, we use DGT techniques to refine fully polarimetric radar images, and to increase the effectiveness of standard features extraction algorithms. In our second application, we apply DGT techniques on medical images extracted from a system and a Magnetic Resonance Imaging (MRI) system.

Paper Details

Date Published: 2 February 2006
PDF: 9 pages
Proc. SPIE 6065, Computational Imaging IV, 606519 (2 February 2006); doi: 10.1117/12.650866
Show Author Affiliations
Mickaël Germain, Univ. of Montreal (Canada)
Jiri Patera, Univ. of Montreal (Canada)
Yannick Allard, Lockheed Martin Canada (Canada)

Published in SPIE Proceedings Vol. 6065:
Computational Imaging IV
Charles A. Bouman; Eric L. Miller; Ilya Pollak, Editor(s)

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