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Geometric Modeling Using Focal Surfaces (Sketches 089)
| Content Provider | Semantic Scholar |
|---|---|
| Author | Yu, Jingyi Yin, Xiaotian Gu, Xianfeng McMillan, Leonard Gortler, Steve |
| Copyright Year | 2006 |
| Abstract | The differential geometry of smooth three-dimensional surfaces can be interpreted from one of two perspectives: in terms of oriented frames located on the surface, or in terms of a pair of associated focal surfaces. These focal surfaces are swept by the loci of the principal curvatures’ radii. The normal of each focal surface indicates a principal direction at the corresponding point on the original surface [Pottmann and Wallner 2001]. In this article, we utilize piecewise linear focal surfaces, which we call focal meshes, to model smooth surfaces. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://www.eecis.udel.edu/~jye/lab_research/SIG07/Siggraph07_0089.pdf |
| Alternate Webpage(s) | http://www.eecis.udel.edu/~jye/lab_research/SIG07/Siggraph07_0089.pdf |
| Alternate Webpage(s) | http://www.math.harvard.edu/~xyin/2007%20Geometric%20Modeling%20Using%20Focal%20Surfaces%20(SIGGRAPH%20Sketch).pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
