Image bandwidth compression using nonparametric Fourier phase reconstruction

Mihajlo M. Stojancic; George Eichmann

doi:10.1117/12.23513

1 November 1990 Image bandwidth compression using nonparametric Fourier phase reconstruction

Mihajlo M. Stojancic, George Eichmann

Proceedings Volume 1349, Applications of Digital Image Processing XIII; (1990) https://doi.org/10.1117/12.23513
Event: 34th Annual International Technical Symposium on Optical and Optoelectronic Applied Science and Engineering, 1990, San Diego, CA, United States

Abstract

A new efficient computational technique for digital itiage bandwidth xxtLpression is presented. This technique is based upon an improved variation of the Gercbberg-Saxton--Papoulis (GSP) Fourier phase reconstruction algorithm. A digital image is converted into a ccitiplex 2D signal in the spatial dcxtiain by imposing a known randan phase angle. This step is then treated as a projection onth a closed convex set of 2D signals with the sait kncn phase angle. Using the theorns of projections, a functional j.iation is fornd which includes, together with the standard constraints of the knn phase angle in the Fourier dmain and the cotract image spatial support, a new orthogonal projection operator with its relaxation parameter. Thus formed, the new iterative algorithm produces exact image reconstruction in a snall number of iteration steps. The new algorithm is applied to a partially observed Fourier phase image to prcxluce the original image reconstruction of good quality. Fuftherixre, multiple oversampling of the Fourier phase in the frequency donain is substantially reduced. Several experimental results are presented.

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Mihajlo M. Stojancic and George Eichmann "Image bandwidth compression using nonparametric Fourier phase reconstruction", Proc. SPIE 1349, Applications of Digital Image Processing XIII, (1 November 1990); https://doi.org/10.1117/12.23513

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