On the Strong Property of Connected Open-Close and Close-Open Filters

Authors:
José Crespo;Victor Maojo;José A. Sanandrés;Holger Billhardt
Affiliations:
-;-;-;-
Venue:
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Year:
2002

Citing 7
Cited 2

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Abstract

This paper studies connectivity aspects that arise in image operators that process connected components of an input image. The focus is on morphological image analysis (i.e., on increasing image operators), and, in particular, on a robustness property satisfied by certain morphological filters that is denominated the strong-property. The behavior of alternating compositions of openings and closings will be investigated under certain assumptions, especially using a connected component preserving equation. A significant result is the finding that such an equation cannot guarantee the strong property of certain connected alternating filters. The class of openings and closings by reconstruction should therefore be defined to avoid such situations.