This state-of-the-art book deals with the most important aspects of non-linear imaging challenges. The need for engineering and mathematical methods is essential for defining non-linear effects involved in such areas as computer vision, optical imaging, computer pattern recognition, and industrial automation challenges.
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"The book considers the following filter families, with varying emphasis, according to popularity and impact in image processing tasks: honomorphic filters, relying on a generalized superposition principle nonlinear mean filters, using nonlinear definitions of means morphological filters, based on geometrical rather than analytical properties order statistics filters, based on ordering properties of the input samples polynomial filters, using polynomial expressions in the input and output samples fuzzy filters, applying fuzzy reasoning to model the uncertainty typical of some image processing issues nonlinear operations modeled in terms of nonlinear partial differential equations." --IEEE SIGNAL PROCESSING MAGAZINE, January 2001
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