Generation of accurate integral surfaces in time-dependent vector fields

We present a novel approach for the direct computation of integral surfaces in time-dependent vector fields. As opposed to previous work, which we analyze in detail, our approach is based on a separation of integral surface computation into two stages: surface approximation and generation of a graph...

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Détails bibliographiques
Publié dans:IEEE transactions on visualization and computer graphics. - 1996. - 14(2008), 6 vom: Nov., Seite 1404-11
Auteur principal: Garth, Christoph (Auteur)
Autres auteurs: Krishnan, Han, Tricoche, Xavier, Bobach, Tom, Joy, Kenneth I
Format: Article en ligne
Langue:English
Publié: 2008
Accès à la collection:IEEE transactions on visualization and computer graphics
Sujets:Journal Article
Description
Résumé:We present a novel approach for the direct computation of integral surfaces in time-dependent vector fields. As opposed to previous work, which we analyze in detail, our approach is based on a separation of integral surface computation into two stages: surface approximation and generation of a graphical representation. This allows us to overcome several limitations of existing techniques. We first describe an algorithm for surface integration that approximates a series of time lines using iterative refinement and computes a skeleton of the integral surface. In a second step, we generate a well-conditioned triangulation. Our approach allows a highly accurate treatment of very large time-varying vector fields in an efficient, streaming fashion. We examine the properties of the presented methods on several example datasets and perform a numerical study of its correctness and accuracy. Finally, we investigate some visualization aspects of integral surfaces
Description:Date Completed 30.12.2008
Date Revised 07.11.2008
published: Print
Citation Status PubMed-not-MEDLINE
ISSN:1941-0506
DOI:10.1109/TVCG.2008.133