25 October 1988 The Importance Of Localized Phase In Vision And Image Representation
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Proceedings Volume 1001, Visual Communications and Image Processing '88: Third in a Series; (1988) https://doi.org/10.1117/12.968938
Event: Visual Communications and Image Processing III, 1988, Cambridge, MA, United States
Abstract
It is well known that Fourier-phase is sufficient for image representation and reconstruction within a scale factor, under a variety of conditions. For a finite length sequence, i.e., a sampled signal, a finite number of Fourier coefficients suffices to reconstruct the sequence. Several algorithms exist for this purpose. A close form solution involves solving a large set of linear equations. Another approach is an iterative technique which involves repeated transformation between the frequency and the spatial domains. The application of these techniques to image reconstruction from global (Fourier) phase is, however rather limited in practice due to the computational complexity. In this paper we present a new approach to image representation by means of which, similarly to the biological processing at the level of the cortex, the partial information is defined by localized phase. Also, like processing in vision, dc is first extracted from the signal and signaled separately. Computational results and theoretical analysis indicate that image reconstruction from localized phase-only is more efficient than image reconstruction from global (Fourier) phase. It also lends itself to hardware implementation of fast algorithms using highly parallel architecture.
© (1988) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
J. Behar, M. Porat, Y. Y. Zeevi, "The Importance Of Localized Phase In Vision And Image Representation", Proc. SPIE 1001, Visual Communications and Image Processing '88: Third in a Series, (25 October 1988); doi: 10.1117/12.968938; https://doi.org/10.1117/12.968938
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