Constrained Connectivity and Transition Regions

Authors:
Pierre Soille;Jacopo Grazzini
Affiliations:
Institute for the Protection and the Security of the Citizen, Global Security and Crisis Management Unit,;Institute for Environment and Sustainability Spatial Data Infrastructures Unit, European Commission, Joint Research Centre, Ispra, Italy I-21027
Venue:
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Year:
2009

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Abstract

Constrained connectivity relations partition the image definition domain into maximal connected components complying to a series of input constraints such as local and global intensity variation thresholds. However, they lead to a stream of small transition regions in situations where the edge between two large homogeneous regions spans over several pixels (ramp discontinuity). In this paper, we analyse this behaviour and propose new definitions for the notions of transition pixels and regions. We then show that they provide a suitable basis for suppressing connected components originating from non ideal step edges.