Partial difference equations on graphs for Mathematical Morphology operators over images and manifolds

The main tools of Mathematical Morphology are a broad class of nonlinear image operators. They can be defined in terms of algebraic set operators or as Partial Differential Equations (PDEs). We propose a framework of partial difference equations on arbitrary graphs for introducing and analyzing morphological operators in local and non local configurations. The proposed framework unifies the classical local PDEsbased morphology for image processing, generalizes them for non local configurations and extends them to the processing of any discrete data living on graphs.

• Type: Conference
• Year: 2008
• Where: ICIP
• Authors: Vinh-Thong Ta, Abderrahim Elmoataz, Olivier Lezoray
• Keywords: Algebraic Set Operators, ICIP 2008, Image Processing, Local Pdesbased Morphology, Non Local Configurations, Nonlinear Image Operators, Partial Difference Equations