Morphological bounds on nonlinear filters

Mohammed A. Charif-Chefchaouni; Dan Schonfeld

doi:10.1117/12.131459

1 November 1992 Morphological bounds on nonlinear filters

Mohammed A. Charif-Chefchaouni, Dan Schonfeld

Proceedings Volume 1818, Visual Communications and Image Processing '92; (1992) https://doi.org/10.1117/12.131459
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

Abstract

In this paper, we present a general theory on the morphological bounds of nonlinear filters. Conditions for the existence of various morphological bounds on nonlinear filters are proposed. Several fundamental morphological bounds on nonlinear filters are derived. Extensions of morphological bounds on the iterations of a nonlinear filter are also derived. Criteria for a root of a nonlinear filter are derived. Finally, conditions for the convergence of the iteration of a nonlinear filter are proposed.

Citation Download Citation

Mohammed A. Charif-Chefchaouni and Dan Schonfeld "Morphological bounds on nonlinear filters", Proc. SPIE 1818, Visual Communications and Image Processing '92, (1 November 1992); https://doi.org/10.1117/12.131459

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