Reconstruction of color biomedical images by means of quaternion generic Jacobi-Fourier moments in the framework of polar pixels

César Camacho-Bello; Alfonso Padilla-Vivanco; Carina Toxqui-Quitl; José Javier Báez-Rojas

doi:10.1117/1.JMI.3.1.014004

11 March 2016 Reconstruction of color biomedical images by means of quaternion generic Jacobi-Fourier moments in the framework of polar pixels

César Camacho-Bello, Alfonso Padilla-Vivanco, Carina Toxqui-Quitl, José Javier Báez-Rojas

Author Affiliations +

Journal of Medical Imaging, Vol. 3, Issue 1, 014004 (March 2016). https://doi.org/10.1117/1.JMI.3.1.014004

Abstract

A detailed analysis of the quaternion generic Jacobi-Fourier moments (QGJFMs) for color image description is presented. In order to reach numerical stability, a recursive approach is used during the computation of the generic Jacobi radial polynomials. Moreover, a search criterion is performed to establish the best values for the parameters α and β of the radial Jacobi polynomial families. Additionally, a polar pixel approach is taken into account to increase the numerical accuracy in the calculation of the QGJFMs. To prove the mathematical theory, some color images from optical microscopy and human retina are used. Experiments and results about color image reconstruction are presented.

Citation Download Citation

César Camacho-Bello, Alfonso Padilla-Vivanco, Carina Toxqui-Quitl, and José Javier Báez-Rojas "Reconstruction of color biomedical images by means of quaternion generic Jacobi-Fourier moments in the framework of polar pixels," Journal of Medical Imaging 3(1), 014004 (11 March 2016). https://doi.org/10.1117/1.JMI.3.1.014004

Published: 11 March 2016

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