Image reconstruction from discrete Chebyshev moments via formation of lookup tables

Bulent Bayraktar; Tytus Bernas; J. Paul Robinson; Bartek Rajwa

doi:10.1117/12.651938

2 March 2006 Image reconstruction from discrete Chebyshev moments via formation of lookup tables

Bulent Bayraktar, Tytus Bernas, J. Paul Robinson, Bartek Rajwa

Proceedings Volume 6142, Medical Imaging 2006: Physics of Medical Imaging; 61424T (2006) https://doi.org/10.1117/12.651938
Event: Medical Imaging, 2006, San Diego, California, United States

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.

Citation Download Citation

Bulent Bayraktar, Tytus Bernas, J. Paul Robinson, and Bartek Rajwa "Image reconstruction from discrete Chebyshev moments via formation of lookup tables", Proc. SPIE 6142, Medical Imaging 2006: Physics of Medical Imaging, 61424T (2 March 2006); https://doi.org/10.1117/12.651938

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available