1995
DOI: 10.1109/83.403422
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Flat zones filtering, connected operators, and filters by reconstruction

Abstract: This correspondence deals with the notion of connected operators. Starting from the definition for operator acting on sets, it is shown how to extend it to operators acting on function. Typically, a connected operator acting on a function is a transformation that enlarges the partition of the space created by the flat zones of the functions. It is shown that from any connected operator acting on sets, one can construct a connected operator for functions (however, it is not the unique way of generating connecte… Show more

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Cited by 470 publications
(345 citation statements)
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“…We will see that simple levelings are a subclass of connected operators [16], that means they extend flat zones and do not create new contours. More general levelings will extend quasi-flat zones, defined as follows.…”
Section: Flat and Quasi-flat Zonesmentioning
confidence: 99%
“…We will see that simple levelings are a subclass of connected operators [16], that means they extend flat zones and do not create new contours. More general levelings will extend quasi-flat zones, defined as follows.…”
Section: Flat and Quasi-flat Zonesmentioning
confidence: 99%
“…Let E be the definition domain of a gray-scale image f : E → R, and let the information content of f be organized into a set of flat zones [11], the union of which, equals E. A flat zone F is a connected set of maximal extent. It consists of isotone pixels that are path-wise connected.…”
Section: Attribute Filtersmentioning
confidence: 99%
“…In Fig.4 (d), the grey object is considered as an object in itself. The proposed reconstruction is a connected operator in the sense of [9] 3 On the choice of an erosion of color i…”
Section: N-ary Geodesic Reconstructionmentioning
confidence: 99%