An Adaptive Virtual Node Algorithm with Robust Mesh Cutting

dc.contributor.authorWang, Yutingen_US
dc.contributor.authorJiang, Chenfanfuen_US
dc.contributor.authorSchroeder, Craigen_US
dc.contributor.authorTeran, Josephen_US
dc.contributor.editorVladlen Koltun and Eftychios Sifakisen_US
dc.date.accessioned2014-12-16T07:33:46Z
dc.date.available2014-12-16T07:33:46Z
dc.date.issued2014en_US
dc.description.abstractWe present a novel virtual node algorithm (VNA) for changing tetrahedron mesh topology to represent arbitrary cutting triangulated surfaces. Our approach addresses a number of shortcomings in the original VNA of [MBF04]. First, we generalize the VNA so that cuts can pass through tetrahedron mesh vertices and lie on mesh edges and faces. The original algorithm did not make sense for these cases and required often ambiguous perturbation of the cutting surface to avoid them. Second, we develop an adaptive approach to the definition of embedded material used for element duplication. The original algorithm could only handle a limited number of configurations which restricted cut surfaces to have curvature at the scale of the tetrahedron elements. Our adaptive approach allows for cut surfaces with curvatures independent of the embedding tetrahedron mesh resolution. Finally, we present a novel, provably-robust floating point mesh intersection routine that accurately registers triangulated surface cuts against the background tetrahedron mesh without the need for exact arithmetic.en_US
dc.description.seriesinformationEurographics/ ACM SIGGRAPH Symposium on Computer Animationen_US
dc.identifier.isbn978-3-905674-61-3en_US
dc.identifier.issn1727-5288en_US
dc.identifier.urihttps://doi.org/10.2312/sca.20141125en_US
dc.identifier.urihttps://diglib.eg.org/handle/10.2312/sca.20141125.077-085
dc.publisherThe Eurographics Associationen_US
dc.subjectI.3.5 [Computer Graphics]en_US
dc.subjectComputational Geometry and Object Modelingen_US
dc.subjectPhysically based modelingen_US
dc.titleAn Adaptive Virtual Node Algorithm with Robust Mesh Cuttingen_US
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