Low-Discrepancy Point Sampling of Meshes for Rendering

dc.contributor.authorQuinn, Jonathan A.en_US
dc.contributor.authorLangbein, Frank C.en_US
dc.contributor.authorMartin, Ralph R.en_US
dc.contributor.editorM. Botsch and R. Pajarola and B. Chen and M. Zwickeren_US
dc.date.accessioned2014-01-29T16:52:07Z
dc.date.available2014-01-29T16:52:07Z
dc.date.issued2007en_US
dc.description.abstractA novel point sampling framework for polygonal meshes is presented, based on sampling a mesh according to a density-controlled low-discrepancy distribution. The local sampling density can be controlled by a density func- tional defined by the user, e.g. to preserve local features, or to achieve desired data reduction rates. To sample the mesh, it is cut into a disc topology, and a parametrisation is generated. The parameterised mesh is sampled using a Hilbert curve in the parameter domain, which is adapted to parametric distortions and mapped onto the mesh. 1D sample points along the Hilbert curve are then generated, correcting for parametric distortion and a user- specified local density, to give a density-controlled low-discrepancy sampling of the mesh. After a pre-processing step, the sampling density can be adjusted in real-time. Experiments show that this approach can quickly resample existing meshes with low discrepancy samples. The effectiveness and speed of the approach are demonstrated by applying it to viewpoint dependent rendering, level of detail representation, and interactive remeshing.en_US
dc.description.seriesinformationEurographics Symposium on Point-Based Graphicsen_US
dc.identifier.isbn978-3-905673-51-7en_US
dc.identifier.issn1811-7813en_US
dc.identifier.urihttps://doi.org/10.2312/SPBG/SPBG07/019-028en_US
dc.publisherThe Eurographics Associationen_US
dc.titleLow-Discrepancy Point Sampling of Meshes for Renderingen_US
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