Normal Computation for Discrete Surfaces in 3D Space

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dc.contributor.authorThürmer, Griten_US
dc.contributor.authorWüthrich, Charles A.en_US
dc.date.accessioned2015-02-15T18:05:29Z
dc.date.available2015-02-15T18:05:29Z
dc.date.issued1997en_US
dc.description.abstractAssociating normal vectors to surfaces is essential for many rendering algorithms. We introduce a new method to compute normals on discrete surfaces in object space. Assuming that the surface separates space locally into two disjoint subsets, each of these subsets contains implicitly information about the surface inclination. Considering one of these subsets in a small neighbourhood of a surface point enables us to derive the surface normal from this set. We show that this leads to exact results for C1 continuous surfaces in R3. Furthermore, we show that good approximations can be obtained numerically by sampling the considered area. Finally, we derive a method for normal computation on surfaces in discrete space.en_US
dc.description.number3en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume16en_US
dc.identifier.doi10.1111/1467-8659.00138en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pagesC15-C26en_US
dc.identifier.urihttps://doi.org/10.1111/1467-8659.00138en_US
dc.publisherBlackwell Publishers Ltd and the Eurographics Associationen_US
dc.titleNormal Computation for Discrete Surfaces in 3D Spaceen_US
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