This chapter provides a brief introduction to the theory of morphological signal processing and its
applications toimage analysis andnonlinear filtering. By “morphological signal processing”we mean
a broad and coherent collection of theoretical concepts, mathematical tools for signal analysis, nonlinear
signal operators, design methodologies, and applications systems that are based on or related
to mathematical morphology (MM), a set- and lattice-theoreticmethodology for image analysis. MM
aims at quantitatively describing the geometrical structure of image objects. Its mathematical origins
stem from set theory, lattice algebra, convex analysis, and integral and stochastic geometry....