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Sufficient Conditions for General 2D Operators to Preserve Topology

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Sufficient Conditions for General 2D Operators to Preserve Topology

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P´eter Kardos and K´alm´an Pal´agyi

Department of Image Processing and Computer Graphics, University of Szeged, Hungary

{pkardos,palagyi}@inf.u-szeged.hu

Abstract. An important requirement for various applications of binary image processing is to preserve topology. This issue has been earlier stud- ied for two special types of image operators, namely, reductions and additions, and there have been some sufficient conditions proposed for them. In this paper, as an extension of those earlier results, we give novel sufficient criteria for general operators working on 2D pictures.

Key words: Digital Topology, Binary Operators, Topology Preserva- tion

This research was supported by the European Union and the State of Hungary, co-financed by the European Social Fund in the framework of T ´AMOP 4.2.4. A/2-11-1-2012-0001 ”National Excellence Program”.

?The publication is available athttp://link.springer.com/chapter/10.1007/978-3-319-07148-0 10

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