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.
