Title
On the Strong Property of Connected Open-Close and Close-Open Filters
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.
Year
DOI
Venue
2002
10.1007/3-540-45986-3_15
DGCI
Keywords
Field
DocType
image operator,certain assumption,certain morphological filter,morphological image analysis,input image,paper studies connectivity aspect,connected component,connected open-close,close-open filters,robustness property,significant result,strong property,image analysis,satisfiability
Topology,Discrete mathematics,Combinatorics,Computer science,Mathematical morphology,Robustness (computer science),Connected component,Operator (computer programming),Connectivity
Conference
ISBN
Citations 
PageRank 
3-540-43380-5
2
0.37
References 
Authors
7
5
Name
Order
Citations
PageRank
José Crespo112624.90
Victor Maojo233353.22
José A. Sanandrés3262.34
Holger Billhardt437236.86
alberto munoz520.37