Title | ||
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A general framework for tree-based morphology and its applications to self-dual filtering |
Abstract | ||
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This paper presents a tree-based framework for producing self-dual morphological operators, based on a tree-representation complete inf-semilattice (CISL). The idea is to use a self-dual tree transform to map a given image into the above CISL, perform one or more morphological operations there, and map the result back to the image domain using the inverse tree transform. We also present a particular case of this general framework, involving a new tree transform, the Extrema-Watershed Tree (EWT). The operators obtained by using the EWT in the above framework behave like classical morphological operators, but in addition are self-dual. Some application examples are provided: pre-processing for OCR and dust and scratch removal algorithms, and image denoising. We also explore first steps towards obtaining tree transforms that induce a CISL on the image domain as well. |
Year | DOI | Venue |
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2010 | 10.1016/j.imavis.2009.08.008 | Image Vision Comput. |
Keywords | DocType | Volume |
image domain,tree representation of images,self-dual operators,general framework,tree-based morphology,self-dual morphological operator,self-dual tree,new tree,classical morphological operator,complete inf-semilattices,inverse tree,tree-based framework,image denoising,morphological operation | Journal | 28 |
Issue | ISSN | Citations |
10 | Image and Vision Computing | 0 |
PageRank | References | Authors |
0.34 | 12 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Alla Vichik | 1 | 0 | 0.34 |
Renato Keshet | 2 | 338 | 27.26 |
David Malah | 3 | 219 | 60.95 |