Spherical manifolds for adaptive resolution surface modeling

Proceedings - GRAPHITE 2005 - 3rd International Conference on Computer Graphics and Interactive Techniques in Australasia and Southeast Asia

Volumn , Issue , 2005, Pages 161-168

  Grimm, Cindy M ^a  

^a WASHINGTON UNIVERSITY   (United States)

Author keywords

Arbitrary topology; Hierarchical; Hypberbolic geometry; Parameterization; Splines; Surface modeling

Indexed keywords

ADAPTIVE RESOLUTION; HIERARCHICAL EDITING; PARAMETERIZATION; SURFACE MODELING TECHNIQUE;

ADAPTIVE ALGORITHMS; COMPUTER SIMULATION; HIERARCHICAL SYSTEMS; OPTICAL RESOLVING POWER; PARAMETER ESTIMATION; USER INTERFACES;

IMAGE PROCESSING;

EID: 33745806569     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1101389.1101425     Document Type: Conference Paper

References (38)

1. BIERMANN, H., MARTIN, I., BERNARDINI, F., AND ZORIN, D. 2002. Cut-and-paste editing of multiresolution surfaces. ACM Transactions on Graphics 21, 3 (July), 312-321.
2. BIERMANN, H., MARTIN, I. M., ZORIN, D., AND BERNARDINI, F. 2002. Sharp features on multiresolution subdivision surfaces. Graphical Models 64, 2(Mar.), 61-77.
3. BORWEIN, P., AND ERD, T. 1995. Horner's rule. pg. 8.
4. CATMULL, E., AND CLARK, J. 1978. Recursively generated B-spline surfaces on arbitrary topological meshes. Computer Aided Design 10, 6 (Nov.), 350-355.
5. CHAN, K. K. Y., MANN, S., AND BARTELS, R. 1997. World space surface pasting. In Graphics Interface '97, 146-154.
6. DEROSE, T. D., KASS, M., AND TRUONG, T. 1998. Subdivision surfaces in character animation. In SIGGRAPH, 85-94.
7. DOO, D., AND SABIN, M. 1978. Behaviour of recursive division surfaces near extraordinary points. Computer Aided Design 10, 6 (Nov.), 356-360.
8. FORSEY, D., AND BARTELS, R. 1988. Hierarchical B-spline refinement. Computer Graphics 22, 2 (July), 205-212. Proceedings of SIGGRAPH '88.
9. GONZALEZ-OCHOA, C., AND PETERS, J. 1999. Localized-hierarchy surface splines (less). In 13D Symposium, 7-16.
10. GOTSMAN, C., GU, X., AND SHEFFER, A. 2003. Fundamentals of spherical parameterization for 3d meshes. ACM Transactions on Graphics 22, 3 (July), 358-363.
11. GRIMM, C., AND HUGHES, J. 1995. Modeling surfaces of arbitrary topology using manifolds. Computer Graphics 29, 2 (July), 359-369.
12. GRIMM, C., AND HUGHES, J. 2003. Parameterizing n-holed tori. Mathematics of Surfaces X (Sept. 17-19th), 14-29.
13. GRIMM, C. 2002. Simple manifolds for surface modeling and parameterization. Shape Modelling International (May).
14. GRIMM, C. 2004. Parameterization using manifolds. International Journal of Shape Modelling 10, 1 (June), 51-80.
15. GU, X., HE, Y., AND QIN, H. 2005. Manifold splines. Symposium on Solid and Physical Modelling (June), 27-38.
16. HE, Y., GU, X., AND QIN, H. 2005. Rational spherical splines for genus zero shape modeling. Shape Modelling International (June), 82-91.
17. HOLLIG, K., AND MOGERLE, H. 1990. G-splines. Computer Aided Geometric Design 7, 197-207.
18. KHODAKOVSKY, A., AND SCHRÖDER, P. 1991. Fine level feature editing for subdivision surfaces. In ACM Solid Modeling, 203-211.
19. LEUNG, R., AND MANN, S. 2003. Distortion minimization and continuity preserving in surface pasting. Graphics Interface (May), 193-200.
20. LEVY, B. 2001. Constrained texture mapping for polygonal meshes. Computer graphics, 417-424.
21. LOOP, C., AND DEROSE, T. 1990. Generalized B-spline surfaces of arbitrary topology. Computer Graphics 24,4 (Aug.), 347-357. SIGGRAPH.
22. LOOP, C. 1994. Smooth spline surfaces over irregular meshes. Computer Graphics 28, 2 (July), 303-310.
23. NAVAU, J. C., AND GARCIA, N. P. 2000. Modeling surfaces from meshes of arbitrary topology. Computer Aided Geometric Design 17,7 (August), 643-671. ISSN 0167-8396.
24. NELDER, J. A., AND MEAD, R. 1965. A simplex method for function minimization. In Computer Journal, vol. 7, 308-313.
25. 2 free-form surfaces of degree (3,5). Computer Aided Geometric Design 19, 2 (Feb.), 113-126.
26. PETERS, J. 2004. Smoothness, fairness and the need for better multi-sided patches. Topics in algebraic geometry and geometric modeling 334, 197-207.
27. PRAUN, E., AND HOPPE, H. 2003. Spherical parameterization and remeshing. ACM Transactions on Graphics 22, 3 (July), 340-349.
28. PULLI, K., AND LOUNSBERY, M. 1997. Hierarchical editing and rendering of subdivision surfaces. Tech. Rep. TR-97-04-07.
29. SABA, S., YAVNEH, I., GOTSMAN, C., AND SHEFFER, A. 2005. Practical spherical embedding of manifold triangle meshes. Shape Modelling International (June), 256-265.
30. SABA, S. 2005. Barycentric spherical parameterization of genus-0 3d meshes. MSc Thesis, Technion.
31. SEDERBERG, T. W., CARDON, D. L., FINNIGAN, G. T., NORTH, N. S., ZHENG, J., AND LYCHE, T. 2004. T-spline simplification and local refinement. ACM Transactions on Graphics 23, 3 (Aug.). 276-283.
32. STAM, J. 1998. Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values. Computer Graphics 32, 395-404.
33. STAM, J. 2003. Flows on surfaces of arbitrary topology. ACM Transactions on Graphics 22, 3 (July), 724-731.
34. STAUNING, O., AND BENDTSEN, C. Fad: http://www.imm.dtu.dk/nag/proj-km/fadbad/.
35. WARREN, J. 1992. Creating multisided rational bézier surfaces using base points. ACM Transactions on Graphics 11, 2 (Apr.), 127-139.
36. YING, L., AND ZORIN, D. 2004. A simple manifold-based construction of surfaces of arbitrary smoothness. ACM Transactions on Graphics 23, 3 (Aug.), 271-275.
37. ZHENG, J. J. 2001. The n-sided control point surfaces without twist constraints. Computer Aided Geometric Design 18, 2 (Mar.), 129-134.
38. ZORIN, D., SCHRÖDER, P., AND SWELDENS, W. 1997. Interactive multiresolution mesh editing. Computer Graphics 31, 259-268.