Abstract
Stability conditions for nonlinear recursive filters are established. The results are applied to nonlinear recursive filters of the form y(n)=f(x(n), y(n-1)). In the case of image filtering by incorporating with a multi-directional scheme, a two-dimensional nonlinear recursive image filter, satisfying these conditions, with combined edge-sharpening and noise-smoothing characteristics has been developed. It can be used for image enhancement or restoration, or as a pre-processor for coding techniques. >
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