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2. Practical extensions of connected operators

Author

Philippe Salembier, Albert Oliveras, Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions, and Universitat Politècnica de Catalunya. GPI - Grup de Processament d'Imatge i Vídeo

Subjects
Connectivity, Theoretical computer science, Property (philosophy), Connected operators, Generalization, Computer science, SIGNAL (programming language), Image processing, Extension (predicate logic), Mathematical morphology, Enginyeria de la telecomunicació [Àrees temàtiques de la UPC], Opening, Telecomunicació, Motion criterion, Complexity criterion, Nonlinear ltering, Telecommunication, Watersheds, Closing (morphology), Focus (optics), Algorithm, Closing
Abstract

This paper deals with the notion of connected operators. These operators are becoming popular in image processing because they have the fundamental property of simplifying the signal while preserving the contour information. In this paper, we discuss some practical approaches for the extension and the generalization of these operators. We focus on two important issues: the simpli cation criterion and the connectivity. We present in particular complexity- and motionoriented connected operators. Moreover, we discuss the creation connectivities that are either more or less strict than the usual ones.

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