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dc.contributor.authorYan, Dongming
dc.contributor.authorWallner, Johannes
dc.contributor.authorWonka, Peter
dc.date.accessioned2015-08-03T12:16:30Z
dc.date.available2015-08-03T12:16:30Z
dc.date.issued2014-05-07
dc.identifier.citationYan D-M, Wallner J, Wonka P (2014) Unbiased Sampling and Meshing of Isosurfaces. IEEE Transactions on Visualization and Computer Graphics 20: 1579–1589. Available: http://dx.doi.org/10.1109/TVCG.2014.2322357.
dc.identifier.issn1077-2626
dc.identifier.doi10.1109/TVCG.2014.2322357
dc.identifier.urihttp://hdl.handle.net/10754/563841
dc.description.abstractIn this paper, we present a new technique to generate unbiased samples on isosurfaces. An isosurface, F(x,y,z) = c , of a function, F , is implicitly defined by trilinear interpolation of background grid points. The key idea of our approach is that of treating the isosurface within a grid cell as a graph (height) function in one of the three coordinate axis directions, restricted to where the slope is not too high, and integrating / sampling from each of these three. We use this unbiased sampling algorithm for applications in Monte Carlo integration, Poisson-disk sampling, and isosurface meshing.
dc.description.sponsorshipThe authors thank the anonymous reviewers for their valuable comments and suggestions. They are grateful to Takashi Michikawa and Hiromasa Suzuki for providing them an implementation of marching cubes, the authors of "afront" [5] for making it publicly available, Miriah Meyer for sharing data with them, and Jianwei Guo for helping on the DDA [36] software. This work was supported by the KAUST Visual Computing Center, the National Natural Science Foundation of China (no. 61372168, 61331018, 61271431, and 61272327), and the U.S. National Science Foundation.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.subjectblue noise
dc.subjectIsosurface extraction
dc.subjectPoisson-disk sampling
dc.subjectunbiased sampling
dc.titleUnbiased Sampling and Meshing of Isosurfaces
dc.typeArticle
dc.contributor.departmentVisual Computing Center (VCC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentComputer Science Program
dc.identifier.journalIEEE Transactions on Visualization and Computer Graphics
dc.eprint.versionPost-print
dc.contributor.institutionNational Laboratory of Pattern Recognition (NLPR), Institute of Automation, Chinese Academy of SciencesBeijing, China
dc.contributor.institutionTU Graz, Kopernikusg. 24Graz, Austria
kaust.personYan, Dongming
kaust.personWonka, Peter
refterms.dateFOA2018-06-14T05:55:02Z
kaust.acknowledged.supportUnitKAUST Visual Computing Center


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