Normal based estimation of the curvature tensor for triangular meshes

Proceedings - Pacific Conference on Computer Graphics and Applications

Volumn , Issue , 2004, Pages 288-297

  Theisel, Holger ^a   Rössl, Christian ^a   Zayer, Rhaleb ^a   Seidel, Hans Peter ^a  

^a MAX PLANCK INSTITUTE FOR INFORMATICS   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CURVATURE TENSORS; DATA SETS; TRIANGULAR MESHES; VERTEX NORMALS;

ALGORITHMS; APPROXIMATION THEORY; ERROR ANALYSIS; FUNCTIONS; LEAST SQUARES APPROXIMATIONS; POLYNOMIALS;

TENSORS;

EID: 17444409672     PISSN: 15504085     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/PCCGA.2004.1348359     Document Type: Conference Paper

References (15)

1. P. Alliez, D. Cohen-Steiner, O. Devillers, B. Levy, and M. Desbrun. Anisotropic polygonal remeshing. ACM Transactions on Graphics, 22(3):485-493, July 2003.
2. F. Cazals and M. Pouget. Estimating differential quantities using polynomial fitting of osculating jets, pages 177-199.
3. D. Cohen-Steiner and J.-M. Morvan. Restricted delaunay triangulations and normal cycle. In Proceedings of the nine-teenth Conference on Computational Geometry (SCG-03), pages 312-321, New York, June 8-10 2003. ACM Press.
4. J. Foley, A. van Dam, S. Feiner, and J. Hughes. Computer Graphics, Principles and Practice. Addison-Wesley Publishing Company, Reading Massachusetts, 1996.
5. J. Goldfeather and V. Interrante. A novel cubic-order algorithm for approximating principal directions vectors. ACM Transactions on Graphics, 23(1):45-63, 2004.
6. H. Hagen et al. Surface interrogation algorithms. IEEE Computer Graphics and Applications, 12(5):53-60, 1992.
7. N. Max. Weights for computing vertex normals from facet normals. Jounal of Graphics Tools, 4(2):1-6, 1999.
8. M. Meyer, M. Desbrun, M. Schröder, and A. H. Barr. Discrete differential-geometry operators for triangulated 2-manifolds. In Proceedings of VisMath, 2002.
9. H. P. Moreton and C. H. Sequin. Functional optimization for fair surface design. In E. E. Catmull, editor, Proceedings of the 19th Annual ACM Conference on Computer Graphics and Interactive Techniques, pages 167-176, New York, NY, USA, July 1992. ACM Press.
10. D. L. Page, A. Koschan, Y. Sun, J. Paik, and A. Abidi. Robust crease detection and curvature estimation of piecewise smooth surfaces from triangle mesh approximations using normal voting. In Proceedings on Computer Vision and Pattern Recongition, 2001.
11. S. Petitjean. A survey of methods for recovering quadrics in triangle meshes. ACM Computing Surveys, (2), 2001.
12. S. Rusinkiewicz. Estimating curvatures and their derivatives on triangle meshes. In Symposium on 3D Data Processing, Visualization, and Transmission, 2004.
13. G. Taubin. Estimating the tensor of curvature of a surface from a polyhedral approximation. In Proceedings International Conference on Computer Vision, pages 902-907, 1995.
14. A. Vlachos, J. Peters, C. Boyd, and J. L. Mitchell. Curved PN triangles. In Proceedings of the Symposium on Interactive 3D graphics, pages 159-166, 2001.
15. W. Welch and A. Witkin. Free-Form shape design using triangulated surfaces. In A. Glassner, editor, Proceedings of SIGGRAPH'94, pages 247-256. ACM Press, 1994.