Weber, Daniel ; Kalbe, Thomas ; Stork, André ; Fellner, Dieter W. ; Goesele, Michael (2011)
Interactive deformable models with quadratic bases in Bernstein–Bézier-form.
In: The Visual Computer, 27 (6-8)
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
We present a physically based interactive simulation technique for de formable objects. Our method models the geometry as well as the displacements using quadratic basis functions in Bernstein–Bézier form on a tetrahedral finite element mesh. The Bernstein–Bézier formulation yields significant advantages compared to approaches using the monomial form. The implementation is simplified, as spatial derivatives and integrals of the displacement field are obtained analytically avoiding the need for numerical evaluations of the elements’ stiffness matrices. We introduce a novel traversal accounting for adjacency in order to accelerate the reconstruction of the global matrices. We show that our proposed method can compensate the additional effort introduced by the co-rotational formulation to a large extent. We validate our approach on several models and demonstrate new levels of accuracy and performance in comparison to current state-of-the-art.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2011 |
| Autor(en): | Weber, Daniel ; Kalbe, Thomas ; Stork, André ; Fellner, Dieter W. ; Goesele, Michael |
| Art des Eintrags: | Bibliographie |
| Titel: | Interactive deformable models with quadratic bases in Bernstein–Bézier-form |
| Sprache: | Englisch |
| Publikationsjahr: | Juni 2011 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | The Visual Computer |
| Jahrgang/Volume einer Zeitschrift: | 27 |
| (Heft-)Nummer: | 6-8 |
| Kurzbeschreibung (Abstract): | We present a physically based interactive simulation technique for de formable objects. Our method models the geometry as well as the displacements using quadratic basis functions in Bernstein–Bézier form on a tetrahedral finite element mesh. The Bernstein–Bézier formulation yields significant advantages compared to approaches using the monomial form. The implementation is simplified, as spatial derivatives and integrals of the displacement field are obtained analytically avoiding the need for numerical evaluations of the elements’ stiffness matrices. We introduce a novel traversal accounting for adjacency in order to accelerate the reconstruction of the global matrices. We show that our proposed method can compensate the additional effort introduced by the co-rotational formulation to a large extent. We validate our approach on several models and demonstrate new levels of accuracy and performance in comparison to current state-of-the-art. |
| Fachbereich(e)/-gebiet(e): | 20 Fachbereich Informatik 20 Fachbereich Informatik > Graphics, Capture and Massively Parallel Computing 20 Fachbereich Informatik > Graphisch-Interaktive Systeme |
| Hinterlegungsdatum: | 24 Nov 2017 17:42 |
| Letzte Änderung: | 04 Feb 2022 12:40 |
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