Image Processing

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

[+] Author Affiliations
César Camacho-Bello, Alfonso Padilla-Vivanco, Carina Toxqui-Quitl

Universidad Politécnica de Tulancingo, Ingenierías No. 100, Hidalgo 43629, México

José Javier Báez-Rojas

Instituto Nacional de Astrofísica, Óptica y Electrónica. Luis Enrique Erro No. 1, Puebla 72840, México

J. Med. Imag. 3(1), 014004 (Mar 11, 2016). doi:10.1117/1.JMI.3.1.014004
History: Received July 9, 2015; Accepted February 16, 2016
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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.

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© 2016 Society of Photo-Optical Instrumentation Engineers

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", J. Med. Imag. 3(1), 014004 (Mar 11, 2016). ; http://dx.doi.org/10.1117/1.JMI.3.1.014004


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