Comparative analysis of pattern reconstruction using orthogonal moments

Alfonso Padilla-Vivanco; Gonzalo Urcid-Serrano; Fermín-Solomon S. Granados-Agustín; Alejandro Cornejo Rodriguez

doi:10.1117/1.2432878

1 January 2007 Comparative analysis of pattern reconstruction using orthogonal moments

Alfonso Padilla-Vivanco, Gonzalo Urcid-Serrano, Fermín-Solomon S. Granados-Agustín, Alejandro Cornejo Rodriguez

Author Affiliations +

Optical Engineering, Vol. 46, Issue 1, 017002 (January 2007). https://doi.org/10.1117/1.2432878

Abstract

We present a detailed analysis of the reconstruction of gray-level images using orthogonal moments with respect to the basis sets of Zernike, Fourier-Mellin, Chebyshev-Fourier, and pseudo-Jacobi-Fourier polynomials. As test images, we use Ronchigrams with different numbers of fringes as high-spatial-frequency components. The evaluation of image reconstruction between orthogonal moment sets is made in terms of different metrics. These measurements are the normalized image reconstruction error, the overall activity level in each image with respect to spatial frequency variations, the root-mean-square contrast, the total number of reconstructed fringes, the coordinate transformations of the input image, and the number of moment orders. Moreover, a method of denoising the input image based on the Daubechies wavelet transform is implemented to compute the signal-to-noise ratio. Numerical computations show that, for the Ronchigram reconstructions, the performance of Zernike moments is better than that of the other basis sets of orthogonal moments.

©(2007) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Alfonso Padilla-Vivanco, Gonzalo Urcid-Serrano, Fermín-Solomon S. Granados-Agustín, and Alejandro Cornejo Rodriguez "Comparative analysis of pattern reconstruction using orthogonal moments," Optical Engineering 46(1), 017002 (1 January 2007). https://doi.org/10.1117/1.2432878

Published: 1 January 2007

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