Direct Computing of Surface Curvatures for Point-Set Surfaces
| dc.contributor.author | Yang, Pinghai | en_US |
| dc.contributor.author | Qian, Xiaoping | en_US |
| dc.contributor.editor | M. Botsch and R. Pajarola and B. Chen and M. Zwicker | en_US |
| dc.date.accessioned | 2014-01-29T16:52:07Z | |
| dc.date.available | 2014-01-29T16:52:07Z | |
| dc.date.issued | 2007 | en_US |
| dc.description.abstract | Accurate computing of the curvatures of a surface from its discrete form is of fundamental importance for many graphics and engineering applications. The moving least-squares (MLS) surface from Levin [Lev2003] and its variants have been successfully used to define point-set surfaces in a variety of point cloud data based modeling and rendering applications. This paper presents a set of analytical equations for direct computing of surface curvatures from pointset surfaces based on the explicit definition from [AK04a, AK04b]. Besides the Gaussian parameter involved in the MLS definition, these analytical equations allow us to conduct direct and exact differential geometric analysis on the point-set surfaces without specifying any subjective parameters. Our experimental validation on both synthetic and real point cloud data demonstrates that such direct computing from analytical equations provides a viable approach for surface curvature evaluation for unorganized point cloud data. | en_US |
| dc.description.seriesinformation | Eurographics Symposium on Point-Based Graphics | en_US |
| dc.identifier.isbn | 978-3-905673-51-7 | en_US |
| dc.identifier.issn | 1811-7813 | en_US |
| dc.identifier.uri | https://doi.org/10.2312/SPBG/SPBG07/029-036 | en_US |
| dc.publisher | The Eurographics Association | en_US |
| dc.subject | Categories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Curve, surface, solid, and object representations | en_US |
| dc.title | Direct Computing of Surface Curvatures for Point-Set Surfaces | en_US |
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