Nonlocal Graph Morphology
Overview & Synopsis
Mathematical morphology (MM) operators can be defined in terms of algebraic sets or as partial differential equations. In this paper, we introduce a novel formulation of MM over weighted graphs of arbitrary topology. The proposed framework recovers local algebraic and PDEs-based formulations of MM and introduces nonlocal configurations. This enables to PDEs-based methods to process any discrete data that can be described by a graph such as high dimensional data defined on irregular domains.
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Document Information
| Document Title | Nonlocal Graph Morphology |
|---|---|
| Author / Organization | Vinh Thong Ta, Abderrahim Elmoataz, Olivier Lezoray |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2009 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-7729 |
| Original Source Link | Visit Source Page on hal.science » |