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Proceedings Paper

Image reconstruction from discrete Chebyshev moments via formation of lookup tables
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Paper Abstract

Discrete Chebyshev moments (due to discrete polynomial basis) do not have the discretization errors that continuous-domain Legendre and Zernike moments contain. Calculation of polynomial basis coefficients of discrete moments is generally performed using recurrence relationships. Such recurrence equations cause numerical error accumulation especially for calculation of higher-order moments and for larger image sizes, causing significant degradation of image reconstruction from these moments. A method for better image reconstruction from high orders of discrete Chebyshev moments is demonstrated. This is accomplished by calculating Chebyshev polynomial coefficients directly from their definition formulas using arbitrary precision arithmetic and by forming lookup tables from these coefficients.

Paper Details

Date Published: 2 March 2006
PDF: 7 pages
Proc. SPIE 6142, Medical Imaging 2006: Physics of Medical Imaging, 61424T (2 March 2006); doi: 10.1117/12.651938
Show Author Affiliations
Bulent Bayraktar, Purdue Univ. (United States)
Tytus Bernas, Purdue Univ. (United States)
Univ. of Silesia (Poland)
J. Paul Robinson, Purdue Univ. (United States)
Bartek Rajwa, Purdue Univ. (United States)

Published in SPIE Proceedings Vol. 6142:
Medical Imaging 2006: Physics of Medical Imaging
Michael J. Flynn; Jiang Hsieh, Editor(s)

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