This text covers key mathematical principles and algorithms for nonlinear filters used in image processing. It offers insight into the underlying mathematical and filter design methodologies needed to construct and use nonlinear filters in a variety of applications.

Logical Image Operators, E.R. Dougherty and J. Barrera; Computational Gray-Scale Operators, E.R. Dougherty and J. Barrera; Translation-Invariant Set Operators, E.R. Dougherty; Granulometric Filters, E.R. Dougherty and Y. Chen; Easy Recipes for Morphological Filters, H.J.A.M. Heijmans; Introduction to Connected Operators, H.J.A.M. Heijmans; Representation and Optimization of Stack Filters, J.T. Astola and P. Kuosmanen; Invariant Signals of Median and Stack Filters, J.T. Astola and P. Kuosmanen; Binary Polynomial Transforms and Logical Correlation, K.O. Egiazarian et al; Applications of Binary Polynomial Transforms, K.O. Egiazarian et al; Random Sets in View of Image Filtering Applications, I.S. Molchanov.