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2007

A numerical recipe for accurate image reconstruction from discrete orthogonal moments

13 years 3 months ago
A numerical recipe for accurate image reconstruction from discrete orthogonal moments
Recursive procedures used for sequential calculations of polynomial basis coefficients in discrete orthogonal moments produce unreliable results for high moment orders as a result of error accumulation. This paper demonstrates accurate reconstruction of arbitrary-size images using full-order (orders as large as the image size) Tchebichef and Krawtchouk moments by calculating polynomial coefficients directly from their definition formulas in hypergeometric functions and by creating lookup tables of these coefficients off-line. An arbitrary precision calculator is used to achieve greater numerical range and precision than is possible with software using standard 64-bit IEEE floating-point arithmetic. This reconstruction scheme is content and noise independent. ᭧ 2006 Pattern Recognition Society. Published by Elsevier Ltd. All rights reserved.
Bulent Bayraktar, Tytus Bernas, J. Paul Robinson,
Added 27 Dec 2010
Updated 27 Dec 2010
Type Journal
Year 2007
Where PR
Authors Bulent Bayraktar, Tytus Bernas, J. Paul Robinson, Bartek Rajwa
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