Parallel computation of 2D Morse-Smale complexes

The Morse-Smale complex is a useful topological data structure for the analysis and visualization of scalar data. This paper describes an algorithm that processes all mesh elements of the domain in parallel to compute the Morse-Smale complex of large 2D datasets at interactive speeds. We employ a re...

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Publié dans:IEEE transactions on visualization and computer graphics. - 1996. - 18(2012), 10 vom: 13. Okt., Seite 1757-70
Auteur principal: Shivashankar, Nithin (Auteur)
Autres auteurs: Senthilnathan, M, Natarajan, Vijay
Format: Article en ligne
Langue:English
Publié: 2012
Accès à la collection:IEEE transactions on visualization and computer graphics
Sujets:Journal Article Research Support, Non-U.S. Gov't Research Support, U.S. Gov't, Non-P.H.S.
Description
Résumé:The Morse-Smale complex is a useful topological data structure for the analysis and visualization of scalar data. This paper describes an algorithm that processes all mesh elements of the domain in parallel to compute the Morse-Smale complex of large 2D datasets at interactive speeds. We employ a reformulation of the Morse-Smale complex using Forman’s Discrete Morse Theory and achieve scalability by computing the discrete gradient using local accesses only. We also introduce a novel approach to merge gradient paths that ensures accurate geometry of the computed complex. We demonstrate that our algorithm performs well on both multicore environments and on massively parallel architectures such as the GPU
Description:Date Completed 27.02.2013
Date Revised 03.12.2012
published: Print
Citation Status PubMed-not-MEDLINE
ISSN:1941-0506