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20 November 1986 Restoration Of Noisy Images With Adaptive Windowing And Nonlinear Filtering
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Proceedings Volume 0707, Visual Communications and Image Processing; (1986) https://doi.org/10.1117/12.937267
Event: Cambridge Symposium-Fiber/LASE '86, 1986, Cambridge, MA, United States
Abstract
A general problem with statistically-based estimators for images degraded by additive noise is their dependence on average quatities when image intensities vary rapidly and widely. The Wiener estimator, for example, given the stationary power spectrum on the object image and the noise, is known to produce a noisy effect in the flat intensity regions and a blurring or fuzzy effect in the edge regions on the restored image. The power spectra are usually estimated over regions containing both edges and flat regions and therefore are not truly representative of either regional type. In this work, we accept a nonstationary image model and utilize a novel adaptive windowing technique in conjunction with a nonlinear estimator to overcome the cited defects of other estimators. This technique is applied successively to simulated noisy one-dimensional feature waveforms, an arbitrarily selected noisy image scan line, noisy images with one-dimensional windowing, and noisy images with two-dimensional windowing. In each case, features of the edge and flat regions both are faithfully reconstructed. In fact, the restored images are remarkably sharp and clean. They appear far superior to the comparable Wiener restorations despite the fact that their mean-squared error is about the same or slightly larger.
© (1986) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Woo-Jin Song and William A. Pearlman "Restoration Of Noisy Images With Adaptive Windowing And Nonlinear Filtering", Proc. SPIE 0707, Visual Communications and Image Processing, (20 November 1986); doi: 10.1117/12.937267; https://doi.org/10.1117/12.937267
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