A Lagrangian Approach to Dynamic Interfaces through Kinetic Triangulation of the Ambient Space

dc.contributor.authorPons, J.-P.en_US
dc.contributor.authorBoissonnat, J.-D.en_US
dc.date.accessioned2015-02-21T12:41:48Z
dc.date.available2015-02-21T12:41:48Z
dc.date.issued2007en_US
dc.description.abstractIn this paper, we propose a robust and efficient Lagrangian approach for modeling dynamic interfaces between different materials undergoing large deformations and topology changes, in two dimensions. Our work brings an interesting alternative to popular techniques such as the level set method and the particle level set method, for two-dimensional and axisymmetric simulations. The principle of our approach is to maintain a two-dimensional triangulation which embeds the one-dimensional polygonal description of the interfaces. Topology changes can then be detected as inversions of the faces of this triangulation. Each triangular face is labeled with the type of material it contains. The connectivity of the triangulation and the labels of the faces are updated consistently during deformation, within a neat framework developed in computational geometry: kinetic data structures. Thanks to the exact computation paradigm, the reliability of our algorithm, even in difficult situations such as shocks and topology changes, can be certified. We demonstrate the applicability and the efficiency of our approach with a series of numerical experiments in two dimensions. Finally, we discuss the feasibility of an extension to three dimensions.en_US
dc.description.number2en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume26en_US
dc.identifier.doi10.1111/j.1467-8659.2007.01029.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages227-239en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2007.01029.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleA Lagrangian Approach to Dynamic Interfaces through Kinetic Triangulation of the Ambient Spaceen_US
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