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 Geometric algebra for vector fields analysis and visualization: mathematical settings, overview and applications Chantal Oberson Ausoni 787236-0 Pascal Frey bbb6ad93a901f6c9db373bfc34e98e0a ann.jussieu.fr 1108560 34682-1108560 https://www.idref.fr/133850471 https://viaf.org/viaf/217416765 http://www.researcherid.com/rid/K-6908-2012 Chantal Oberson Ausoni 3415de0bce8f2c20e9f13ec27c47dbdc web.de 2013-12-18 16:36:18 2014-09-18 14:45:12 2014-09-18 2024-05-22 10:51:28 2014-09-18 14:51:25 2014-09-18 2014-09-18 contributor Chantal Oberson Ausoni 3415de0bce8f2c20e9f13ec27c47dbdc web.de CCSD hal-00920544 https://hal.sorbonne-universite.fr/hal-00920544 obersonausoni:hal-00920544 2014 2014 HAL Authorization Université Denis Diderot - Paris VII Université Pierre et Marie Curie CNRS - Centre national de la recherche scientifique CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions Laboratoire Jacques-Louis Lions Institut du calcul et de la Simulation Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes UPMC Pôle 1 Sorbonne Université Faculté des Sciences de Sorbonne Université Sciences - Sorbonne Université Institut des Sciences du Calcul et des Données Institut des sciences du calcul et des données Université Paris Cité Sorbonne Université - Texte Intégral Alliance Sorbonne Université 20 pages Not set Geometric algebra for vector fields analysis and visualization: mathematical settings, overview and applications Chantal Oberson Ausoni 787236-0 Pascal Frey bbb6ad93a901f6c9db373bfc34e98e0a ann.jussieu.fr 1108560 34682-1108560 https://www.idref.fr/133850471 https://viaf.org/viaf/217416765 http://www.researcherid.com/rid/K-6908-2012 English vector field topological structure geometric algebra visualization Mathematics [math]/Analysis of PDEs [math.AP] Mathematics [math]/Differential Geometry [math.DG] Mathematics [math]/Geometric Topology [math.GT] Preprints, Working Papers, ... Preprints, Working Papers, ... Preprints, Working Papers, ...

The formal language of Clifford's algebras is attracting an increasingly large community of mathematicians, physicists and software developers seduced by the conciseness and the efficiency of this compelling system of mathematics. This contribution will suggest how these concepts can be used to serve the purpose of scientific visualization and more specifically to reveal the general structure of complex vector fields. We will emphasize the elegance and the ubiquitous nature of the geometric algebra approach, as well as point out the computational issues at stake.

 Institut des Sciences du Calcul et des Données ISCD
UPMC Campus Jussieu 4 Place Jussieu, 75005 Paris
http://iscd.upmc.fr/ 199712644L Laboratoire Jacques-Louis Lions LJLL
Université Pierre et Marie Curie, Boîte courrier 187 - 75252 Paris Cedex 05
https://www.ljll.math.upmc.fr https://ror.org/02en5vm52 Université Pierre et Marie Curie - Paris 6 UPMC 2017-12-31
4 place Jussieu - 75005 Paris
http://www.upmc.fr/ 027542084 0000000121514068 https://ror.org/02n7qrg46 Université Paris Diderot - Paris 7 UPD7 2019-12-31
5 rue Thomas-Mann - 75205 Paris cedex 13
http://www.univ-paris-diderot.fr 02636817X 0000000122597504 https://ror.org/02feahw73 Centre National de la Recherche Scientifique CNRS 1939-10-19
https://www.cnrs.fr/