Simplification of Unstructured Tetrahedral Meshes by Point Sampling

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dc.contributor.authorUesu, Dirceen_US
dc.contributor.authorBavoil, Louisen_US
dc.contributor.authorFleishman, Shacharen_US
dc.contributor.authorShepherd, Jasonen_US
dc.contributor.authorSilva, Cláudio T.en_US
dc.contributor.editorKlaus Mueller and Thomas Ertl and Eduard Groelleren_US
dc.date.accessioned2014-01-29T17:43:12Z
dc.date.available2014-01-29T17:43:12Z
dc.date.issued2005en_US
dc.description.abstractTetrahedral meshes are widely used in scientific computing for representing three-dimensional scalar, vector, and tensor fields. The size and complexity of some of these meshes can limit the performance of many visualization algorithms, making it hard to achieve interactive visualization. The use of simplified models is one way to enable the real-time exploration of these datasets. In this paper, we propose a novel technique for simplifying large unstructured meshes. Most current techniques simplify the geometry of the mesh using edge collapses. Our technique simplifies an underlying scalar field directly by segmenting the original scalar field into two pieces: the boundary of the original domain and the interior samples of the scalar field. We then simplify each piece separately, taking into account proper error bounds. Finally, we combine the simplified domain boundary and scalar field into a complete, simplified mesh that can be visualized with standard unstructured-data visualization tools. Our technique is much faster than edge-collapse-based simplification approaches. Furthermore, it is particularly suitable for aggressive simplification. Experiments show that isosurfaces and volume renderings of meshes produced by our technique have few noticeable visual artifacts.en_US
dc.description.seriesinformationVolume Graphics 2005en_US
dc.identifier.isbn3-905673-26-6en_US
dc.identifier.issn1727-8376en_US
dc.identifier.urihttps://doi.org/10.2312/VG/VG05/157-165en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling - surface and object representations, geometric algorithmsen_US
dc.titleSimplification of Unstructured Tetrahedral Meshes by Point Samplingen_US
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VG05: Eurographics/IEEE VGTC Workshop on Volume Graphics 2005