A discrete approach to multiresolution curves and surfaces

Proceedings - The International Conference on Computational Sciences and its Applications, ICCSA 2008

Volumn , Issue , 2008, Pages 468-477

  Olsen, Luke ^a   Samavati, Faramarz ^a  

^a UNIVERSITY OF CALGARY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BASIS FUNCTIONS; BI-ORTHOGONAL WAVELETS; CASE STUDIES; CATMULL; COMPACT REPRESENTATIONS; COMPUTATIONAL SCIENCES; CONTINUOUS FUNCTIONAL; DECOMPOSITION APPROACH; GENERAL TOPOLOGY; INTERNATIONAL CONFERENCES; MULTI RESOLUTIONS; MULTI-RESOLUTION REPRESENTATIONS; MULTIRESOLUTION CURVES AND SURFACES; SUBDIVISION RULES; SUBDIVISION SCHEMES; SUBDIVISION SURFACES;

ISOMERS; SEPARATION;

MULTIRESOLUTION ANALYSIS;

EID: 52249085887     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICCSA.2008.65     Document Type: Conference Paper

References (33)

1. R. Bartels and F. Samavati. Reversing subdivision rules: Local linear conditions and observations on inner products. Journal of Computational and Applied Mathematics, 119:29-67, 2000.
2. M. Bertram. Biorthogonal Loop-Subdivision Wavelets. Computing, 72(1-2):29-39, 2004.
3. M. Bertram, M. Duchaineau, B. Hamann, and K. Joy. Generalized b-spline subdivision-surface wavelets for geometry compression. Visualization and Computer Graphics, IEEE Transactions on, 10:326-338, 2004.
4. I. Boier-Martin, H. Rushmeier, and J. Jin. Parameterization of triangle meshes over quadrilateral domains. In Proc. of ACM Symposium on Geometry Processing (SGP'04), pages 193-203, 2004.
5. M. Botsch and L. Kobbelt. Multiresolution surface representation based on displacement volumes. Computer Graphics Forum, 22:483-491, 2003.
6. M. Botsch, M. Pauly, M. Gross, and L. Kobbelt. Primo: Coupled prisms for intuitive surface modeling. In Proc. of A CM Symposium on Geometry Processing (SGP'06), pages 11-20, 2006.
7. E. Catmull and J. Clark. Recursively generated b-spline surfaces on arbitrary topological surfaces. Computer-Aided Design, 10(6):350-355, 1978.
8. T. DeRose, M. Kass, and T. 'Iruong. Subdivision surfaces in character animation. In Proc. of SIGGRAPH '98, pages 85-94, 1998.
9. D. Doo and M. Sabin. Behaviour of recursive subdivision surfaces near extraordinary points. ComputerAided Design, 10(6):356-260, 1978.
10. N. Dyn, D. Levine, and J. Gregory. A 4-point interpolatory subdivision scheme for curve design. CAGD, 4:257-268, 1987.
11. M. Eck, T. DeRose, T. Duchamp, H. Hoppe, M. Lounsbery, and W. Stuetzle. Multiresolution analysis of arbitrary meshes. In Proc. of SIGGRAPH '95, pages 173-182, 1995.
12. A. Finkelstein and D. Salesin. Multiresolution curves. In Proc. of SIGGRAPH '94, pages 261-268, New York, NY, USA, 1994. ACM Press.
13. P. Gioia. Reducing the number of wavelet coefficients by geometric partitioning. Computational Geometry: Theory and applications, 14(1-3):25-48, 1999.
14. K. T. H. Wang, K.H. Qin. Efficient wavelet construction with catmull-clark subdivision. The Visual Computer, 22:874-884, 2006.
15. T. Ju, S. Schaefer, and J. Warren. Mean value coordinates for closed triangular meshes. In Proc. of SIGGRAPH '05, pages 561-566, 2005.
16. A. Lee, W. Sweldens, P. Schröder, L. Cowsar, and D. Dobkin. Maps: multiresolution adaptive parameterization of surfaces. In Proc. of SIGGRAPH '98, pages 95-104, New York, NY, USA, 1998. ACM Press.
17. G.Leibniz. The Labyrinth of the Continuum: Writings on the Continuum Problem, 1672-1686. Yale University Press, 2001.
18. D. Li, K. Qin, and H. Sun. Unlifted loop subdivision wavelets. In 12th Pacific Conference on Computer Graphics and Applications, 2004.
19. N. Litke, A. Levin, and P. Schröder. Fitting subdivision surfaces. In IEEE Visualization 2001, pages 319-324, 2001.
20. M. Lounsbery, T. D. DeRose, and J. Warren. Multiresolution analysis for surfaces of arbitrary topological type. ACM Trans. Graph., 16(1):34-73, 1994.
21. National Geophysical Data Center. Coastline extractor, http://rimmer.ngdc.noaa.gov/mgg/coast/getcoast.html, 2007.
22. L. Olsen, F. Samavati, and R. Bartels. Multiresolution for curves and surfaces based on constraining wavelets. Computers and Graphics, 2007.
23. F. Samavati and R. Bartels. Multiresolution curve and surface representation by reversing subdivision rules. Computer Graphics Forum, 18(2):97-120, 1999.
24. F. Samavati, N. Mahdavi-Amiri, and R. Bartels. Multiresolution surfaces having arbitrary topologies by a reverse doo subdivision method. Computer Graphics Forum, 21(2):121-136, 2002.
25. O. Sorkine, D. Cohen-Or, Y. Lipman, M. Alexa, C. Rössl, and H.-P. Seidel. Laplacian surface editing. In Proc. of ACM Symposium on Geometry Processing (SGP'04), pages 175-184, 2004.
26. E. Stollnitz, T. DeRose, and D. Salesin. Wavelets foicomputer graphics: A primer, part 1. IEEE Computer Graphics and Applications, 15(3):76-84, 1995.
27. E. Stollnitz, T. DeRose, and D. Salesin. Wavelets for Computer Graphics: Theory and Applications, pages 152-159. Morgan Kaufmann Publishers, Inc., San Francisco, California, 1996.
28. W. Sweldens. The lifting scheme: A construction of second generation wavelets. SIAM J. Math. Anal., 29(2):511-546, 1997.
29. United States Geological Survey. Seamless data distribution system, http://seamless.usgs.gov/website/ seamless, 2004.
30. S. Valette and R. Prost. Wavelet-based multiresolution analysis of irregular surface meshes. IEEE Transactions on Visualization and Computer Graphics, 10(2):113-122, 2004.
31. J. Warren and H. Weimer. Subdivision Methods for Geometric Design: A Constructive Approach. Morgan Kaufmann, 2001.
32. D. Zorin and P. Schröder. Subdivision for modeling and animation. In SIGGRAPH 2000 Course Notes. ACM Press, 2000.
33. D. Zorin, P. Schröder, and W. Sweldens. Interactive multiresolution mesh editing. In Proc. of SIGGRAPH '97, pages 259-268, New York, NY, USA, 1997. ACM Press.