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ECCV
2008
Springer

Partial Difference Equations over Graphs: Morphological Processing of Arbitrary Discrete Data

11 years 4 months ago
Partial Difference Equations over Graphs: Morphological Processing of Arbitrary Discrete Data
Abstract. Mathematical Morphology (MM) offers a wide range of operators to address various image processing problems. These processing can be defined in terms of algebraic set or as partial differential equations (PDEs). In this paper, a novel approach is formalized as a framework of partial difference equations (PdEs) on weighted graphs. We introduce and analyze morphological operators in local and nonlocal configurations. Our framework recovers classical local algebraic and PDEs-based morphological methods in image processing context; generalizes them for nonlocal configurations and extends them to the treatment of any arbitrary discrete data that can be represented by a graph. It leads to considering a new field of application of MM processing: the case of highdimensional multivariate unorganized data.
Vinh-Thong Ta, Abderrahim Elmoataz, Olivier Lezora
Added 15 Oct 2009
Updated 15 Oct 2009
Type Conference
Year 2008
Where ECCV
Authors Vinh-Thong Ta, Abderrahim Elmoataz, Olivier Lezoray
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