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Proceedings Paper

Digital image reconstruction using Zernike moments
Author(s): Alfonso Padilla-Vivanco; Areli Martinez-Ramirez; Fermin-Solomon Granados-Agustin
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Paper Abstract

It is well known that, a piecewise function can be expanded by an orthogonal set of functions. If the expansion coeficients are suitable for a large number of terms, the reconstruction of function can be achieved with high accuracy. However, for a few of them the reconstruction of the input function, in general, is poor. In this work, we reconstruct discrete image functions using the complex Zernike polynomials. We compare the reconstruction of the input image function in two cases. When the input image is mapped inside or outside an unit circle for several expansion orders. To measure the reconstruction we use the relative error between the input and reconstructed images. Also, we show that the relative error can be reduced if the module of the complex discrete distribution of the reconstruction is squared.

Paper Details

Date Published: 6 February 2004
PDF: 9 pages
Proc. SPIE 5237, Optics in Atmospheric Propagation and Adaptive Systems VI, (6 February 2004); doi: 10.1117/12.514248
Show Author Affiliations
Alfonso Padilla-Vivanco, Instituto Nacional de Astrofisica, Optica y Electronica (Mexico)
Areli Martinez-Ramirez, Univ. Autonoma de Puebla (Mexico)
Fermin-Solomon Granados-Agustin, Instituto Nacional de Astrofisica, Optica y Electronica (Mexico)


Published in SPIE Proceedings Vol. 5237:
Optics in Atmospheric Propagation and Adaptive Systems VI
John D. Gonglewski; Karin Stein, Editor(s)

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