@inproceedings{784160ec925b4c69882b496e312bf7e2,
title = "Hyperconnectivity, Attribute-Space Connectivity and Path Openings: Theoretical Relationships",
abstract = "In this paper the relationship of hyperconnected filters with path openings and attribute-space connected filters is studied. Using a recently developed axiomatic framework based on hyperconnectivity operators, which are the hyperconnected equivalents of connectivity openings, it is shown that path openings are a special case of hyperconnected area openings. The new axiomatics also yield insight into the relationship between hyperconnectivity and attribute-space connectivity. It is shown any hyperconnectivity is an attribute-space connectivity, but that the reverse is not true.",
keywords = "IMAGE, SEGMENTATION, OPERATORS, CLOSINGS, LATTICES",
author = "M.H.F. Wilkinson",
note = "Relation: http://www.springerlink.com/ Rights: Springer; 9th International Symposium on Mathematical Morphology ; Conference date: 24-08-2009 Through 27-08-2009",
year = "2009",
language = "English",
isbn = "978-3-642-03612-5",
volume = "5720",
series = "Lecture Notes in Computer Science",
publisher = "Springer",
pages = "47--58",
editor = "MHF Wilkinson and JBTM Roerdink",
booktitle = "Mathematical Morphology and Its Application to Signal and Image Processing",
}