Local fairing with local inverse

Proceedings - Graphics Interface

Volumn , Issue , 2013, Pages 117-124

  Sadeghi, Javad ^a   Samavati, Faramarz ^a  

^a UNIVERSITY OF CALGARY   (Canada)

Author keywords

I.3.5 computer graphics : Computational geometry and object modeling curve,surface,solid, and object representations

Indexed keywords

CURVES AND SURFACES; GEOMETRIC INTERPRETATION; GEOMETRY PROCESSING; INTER-DEPENDENCIES; LOCAL OPERATIONS; MULTIRESOLUTION; OBJECT REPRESENTATIONS; SUBDIVISION SCHEMES;

COMPUTER GRAPHICS;

CURVE FITTING;

EID: 84884659079     PISSN: 07135424     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (25)

1. M. Alexa. Local control for mesh morphing. In Shape Modeling and Applications, SMI 2001 International Conference on., pages 209-215, may 2001.
2. M. Alexa. Differential coordinates for local mesh morphing and deformation. The Visual Computer, 19(2):105-114, 2003.
3. M. Botsch and L. Kobbelt. A remeshing approach to multiresolution modeling. In Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing, SGP '04, pages 185-192, New York, NY, USA, 2004. ACM.
4. M. Botsch, M. Pauly, C. Rossi, S. Bischoff, and L. Kobbelt. Geometric modeling based on triangle meshes. In ACM SIGGRAPH 2006 Courses, SIGGRAPH '06, New York, NY, USA, 2006. ACM.
5. C. de Boor. Cutting corners always works. Computer Aided Geometric Design, 4(1-2):125-131, 1987.
6. C. de Boor. Local corner cutting and the smoothness of the limiting curve. Computer Aided Geometric Design, 7(5):389-397, 1990.
7. M. Desbrun, M. Meyer, P. Schröder, and A. H. Barr. Implicit fairing of irregular meshes using diffusion and curvature flow. In Proceedings of the 26th annual conference on Computer graphics and interactive techniques, SIGGRAPH '99, pages 317-324, New York, NY, USA, 1999. ACM Press/Addison-Wesley Publishing Co.
8. R. J. Duffin. Distributed and lumped networks. Journal of Mathematics and Mechanics, 8:793-825, 1959.
9. N. Dyn. Analysis of convergence and smoothness by the formalism of laurent polynomials. In A. Iske, E. Quak, and M. S. Floater, editors, Tutorials on Multiresolution in Geometric Modelling, pages 51-68. Springer-Verlag, Heidelberg, 2002.
10. L. Kobbelt, S. Campagna, J. Vorsatz, and H. peter Seidel. Interactive multi-resolution modeling on arbitrary meshes. In SIGGRAPH '98: Proceedings of the 25th annual conference on Computer graphics and interactive techniques, pages 105-114, 1998.
11. L. Kobbelt, J. Vorsatz, and H.-P. Seidel. Multiresolution hierarchies on unstructured triangle meshes. Comput. Geom. Theory Appl., 14(1-3):5-24, 1999. (Pubitemid 129550158)
12. M. Meyer, M. Desbrun, P. Schröder, and A. H. Barr. Discrete differential-geometry operators for triangulated 2-manifolds. In H.-C. Hege and K. Polthier, editors. Visualization and Mathematics III, pages 35-57. Springer-Verlag. Heidelberg, 2003.
13. L. Olsen and F. Samavati. A discrete approach to multiresolution curves and surfaces. In Transactions on Computational Science VI, volume 5730 of Lecture Notes in Computer Science, pages 342-361, 2009.
14. U. Pinkall and K. Polthier. Computing discrete minimal surfaces and their conjugates. Experimental Mathematics. 2(1):15-36, 1993.
15. V. Raghavan. Banded matrices with banded inverses. Master's thesis, Massachusetts Institute of Technology, 2010.
16. J. Sadeghi and F. F. Samavati. Smooth reverse subdivision. Comput. Graph., 33(3):217-225, 2009.
17. J. Sadeghi and F. F. Samavati. Smooth reverse loop and catmull-clark subdivision. Graphical Models, 73(5):202-217, 2011.
18. O. Sorkine. Differential representations for mesh processing. Computer Graphics Forum, 25(4):789-807, 2006. (Pubitemid 44893281)
19. O. Sorkine, D. Cohen-Or, Y. Lipman, M. Alexa, C. Rössl, and H.-P. Seidel. Laplacian surface editing. In SGP '04: Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing, pages 175-184, 2004.
20. J. Stam. On subdivision schemes generalizing uniform b-spline surfaces of arbitrary degree. Computer Aided Geometric Design, 18(5):383-396, 2001. (Pubitemid 32518323)
21. G. Strang. Fast transforms: Banded matrices with banded inverses. Proceedings of the National Academy of Sciences, 107(28):12413-12416, 2010.
22. G. Strang. Groups of banded matrices with banded inverses. Proc. Amer. Math. Soc, 139:4255-4264, 2011.
23. G. Taubin. A signal processing approach to fair surface design. In Proceedings of 22nd annual conference on computer graphics and interactive techniques, 1995.
24. M. Wardetzky. Convergence of the cotangent formula: An overview. In A. I. Bobenko, J. M. Sullivan, P. Schrder, and G. M. Ziegler, editors, Discrete Differential Geometry, volume 38 of Oberwolfach Seminars, pages 275-286. Birkhuser Verlag Basel, 2008.
25. D. Zorin, P. Schröder, and W. Sweldens. Interactive multiresolution mesh editing. In SIGGRAPH '97: Proceedings of the 24th annual conference on Computer graphics and interactive techniques, pages 259-268, 1997.