Title
Shape-Tree Semilattices.
Abstract
A new, self-dual approach for morphological image processing, based on a semilattice framework, is introduced. The related morphological erosion, in particular, shrinks all 'objects` in an image, regardless to whether they are bright or dark.The theory is first developed for the binary case, where it is closely related to the adjacency tree. Under certain constraints, it is shown to yield a lattice structure, which is complete for discrete images. It is then generalized to grayscale functions thanks to the tree of shapes, a recently introduced generalization of adjacency trees.
Year
DOI
Venue
2005
10.1007/s10851-005-4896-0
ISMM
Keywords
DocType
Volume
mathematical morphology,complete inf-semilattices,self-dual,tree of shapes,separated sets,disconnected sets
Journal
22
Issue
Citations 
PageRank 
2-3
5
0.49
References 
Authors
14
1
Name
Order
Citations
PageRank
Renato Keshet133827.26