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Vertex Normals and Face Curvatures of Triangle Meshes
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sun, Xiang Jiang, Caigui Wallner, Johannes Pottmann, Helmut |
| Copyright Year | 2016 |
| Abstract | This study contributes to the discrete differential geometry of triangle meshes, in combination with discrete line congruences associated with such meshes. In particular we discuss when a congruence defined by linear interpolation of vertex normals deserves to be called a ‘normal’ congruence. Our main results are a discussion of various definitions of normality, a detailed study of the geometry of such congruences, and a concept of curvatures and shape operators associated with the faces of a triangle mesh. These curvatures are compatible with both normal congruences and the Steiner formula. |
| Starting Page | 267 |
| Ending Page | 286 |
| Page Count | 20 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/978-3-662-50447-5_8 |
| Alternate Webpage(s) | http://www.dmg.tuwien.ac.at/geom/ig/publications/trifacecurv/trifacecurv.pdf |
| Alternate Webpage(s) | http://www.geometrie.tugraz.at/wallner/3curv.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/978-3-662-50447-5_8 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
