PARTIAL DIFFERENCE EQUATIONS ON GRAPHS FOR MATHEMATICAL MORPHOLOGY OPERATORS OVER IMAGES AND MANIFOLDS

被引：8

作者：

Ta, Vinh-Thong ^{[1
]}

Elmoataz, Abderrahim ^{[1
]}

Lezoray, Olivier ^{[1
]}

机构：

[1] Univ Caen Basse Normandie, CNRS, GREYC, UMR 6072,Image Team, F-14050 Caen, France

来源：

2008 15TH IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOLS 1-5 | 2008年

关键词：

Mathematical Morphology; PDEs; Partial difference; Graphs; Non local;

D O I：

10.1109/ICIP.2008.4711876

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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 PDEs-based morphology for image processing, generalizes them for non local configurations and extends them to the processing of any discrete data living on graphs.

引用

页码：801 / 804

页数：4