Generalized connected operators

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 a first step, we recall the basic notions involved in binary and gray level connected operators. Then, we show how one can extend and generalize these operators. We focus on two important issues: the connectivity and the simplification criterion. We show in particular how to create connectivities that are either more or less strict than the usual ones and how to build new criteria.

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