Refining triangle meshes by non-linear subdivision

Proceedings of International Conference on 3-D Digital Imaging and Modeling, 3DIM

Volumn 2001-January, Issue , 2001, Pages 270-277

  Karbacher, S ^a   Seeger, S ^a   Hausler G ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

Data visualization; Ear; Interpolation; Linear approximation; Nonlinear optics; Optical surface waves; Piecewise linear techniques; Spline; Tensile stress; Topology

Indexed keywords

BLENDING; DATA VISUALIZATION; INTERPOLATION; MESH GENERATION; NONLINEAR OPTICS; SPLINES; SURFACE WAVES; TENSILE STRESS; THREE DIMENSIONAL COMPUTER GRAPHICS; TOPOLOGY;

CONVENTIONAL METHODS; DATA REPRESENTATIONS; EAR; LINEAR APPROXIMATIONS; LINEAR COMBINATIONS; MINIMUM CURVATURE; OPTICAL SURFACE WAVES; SUBDIVISION SCHEMES;

PIECEWISE LINEAR TECHNIQUES;

EID: 84897444785     PISSN: 15506185     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IM.2001.924451     Document Type: Conference Paper

References (24)

1. L. Balmelli, J. Kovačević, and M. Vetterli. Solving the coplanarity problem of regular embedded triangulations. In B. Girod, H. Niemann, and H.-P. Seidel, editors, Vision, Modeling and Visualization '99, pages 237-244. Infix Verlag, Sankt Augustin, 1999.
2. E. Catmull and J. Clark. Recursively generated B-spline surfaces on arbitrary topological meshes. Computer-Aided Design, 10(6):350-355, Sept. 1978.
3. U. Clarenz, U. Diewald, and M. Rumpf. Anisotropic geometric diffusion in surface processing. In Proceedings of Visualization 2000. IEEE, Oct. 2000.
4. I. Daubechies, I. Guskov, P. Schröder, and W. Sweldens. Wavelets on irregular point sets. Phil. Trans. R. Soc. Lond. A., 357(1760):2397-2413, 1999.
5. C. de Boor. A Practical Guide to Splines, volume 27 of Applied Mathematical Sciences. Springer, New York, 1978.
6. P. de Faget de Casteljau. Courbes et surfaces à pôles. Technical report, André Citroën, Paris, 1963.
7. M. Desbrun, M. Meyer, P. Schröder, and A. H. Barr. Implicit fairing of irregular meshes using diffusion and curvature flow. In A. Rockwood, editor, Proceedings of SIGGRAPH99, pages 317-324. Addison Wesley, Aug. 1999.
8. D. Doo and M. Sabin. Behaviour of recursive division surfaces near extraordinary points. Computer-Aided Design, 10(6):356-360, Sept. 1978.
9. I. Guskov, W. Sweldens, and P. Schröder. Multiresolution signal processing for meshes. Technical Report TR-99-01, Princeton University, January 1999.
10. G. Häusler and S. Karbacher. Reconstruction of smoothed polyhedral surfaces from multiple range images. In B. Girod, H. Niemann, and H.-P. Seidel, editors, 3D Image Analysis and Synthesis '97, pages 191-198. Infix Verlag, Sankt Augustin, 1997.
11. H. Hoppe. Progressive meshes. In H. Rushmeier, editor, SIGGRAPH 96 Conference Proceedings, pages 99-108. Addison Wesley, Aug. 1996.
12. S. Karbacher. Rekonstruktion und Modellierung von Flächen aus Tiefenbildern. Shaker Verlag, Aachen, 1997.
13. S. Karbacher. Discrete modeling of point clouds. In B. Girod, G. Greiner, and H. Niemann, editors, Principles of 3D Image Analysis and Synthesis, pages 166-175. Kluwer Academic Publishers, Boston-Dordrecht-London, 2000.
14. S. Karbacher, G. Häusler, and H. Schönfeld. Reverse engineering using optical range sensors. In B. Jähne, H. Haußecker, and P. Geißler, editors, Handbook of Computer Vision and Applications, volume 3: Systems and Applications, pages 359-380. Academic Press, Boston, 1999.
15. S. Karbacher, S. Seeger, and G. Häusler. A non-linear subdivision scheme for triangle meshes. In B. Girod, H. Niemann, and H.-P. Seidel, editors, Vision, Modeling and Visualization 2000, pages 163-170. Akademische Verlagsgesellschaft, Berlin, 2000.
16. L. Kobbelt, S. Campagna, J. Vorsatz, and H.-P. Seidel. Interactive multi-resolution modeling on arbitrary meshes. In M. Cohen, editor, SIGGRAPH 98 Conference Proceedings, pages 105-114. Addison Wesley, July 1998.
17. C. Loop. Smooth subdivision surfaces based on triangles. Master's thesis, University of Utah, Aug. 1987.
18. M. Lounsbery, T. D. DeRose, and J. Warren. Multiresolution analysis for surfaces of arbitrary topological type. ACM Transactions on Graphics, 16(1):34-73, Jan. 1997.
19. U. Reif and P. Schröder. Curvature smoothness of subdivision surfaces. Technical Report TR-00-03, California Institute of Technology, 2000.
20. E. J. Stollnitz, T. D. DeRose, and D. H. Salesin. Wavelets for Computer Graphics. Morgan Kaufmann Publishers, Inc., 1996.
21. G. Taubin. A signal processing approach to fair surface design. In R. Cook, editor, SIGGRAPH 95 Conference Proceedings, pages 351-358. Addison Wesley, Aug. 1995.
22. R. Westermann. Volume models. In B. Girod, G. Greiner, and H. Niemann, editors, Principles of 3D Image Analysis and Synthesis, pages 245-251. Kluwer Academic Publishers, Boston-Dordrecht-London, 2000.
23. D. Zorin, P. Schröder, T. DeRose, L. Kobbelt, A. Levin, and W. Sweldens. Subdivision for modeling and animation, July 2000. SIGGRAPH 2000 Course Notes.
24. D. Zorin, P. Schröder, and W. Sweldens. Interactive multiresolution mesh editing. In T. Whitted, editor, Proceedings of SIGGRAPH 97, pages 259-268. Addison Wesley, Aug. 1997.