Polycube splines

Proceedings - SPM 2007: ACM Symposium on Solid and Physical Modeling

Volumn , Issue , 2007, Pages 241-251

  Wang, Hongyu ^a,b   He, Ying ^a   Li, Xin ^a,b   Gu, Xianfeng ^a,b   Qin, Hong ^a,b  

^a NTU ^*  (Singapore)

^b STONY BROOK UNIVERSITY   (United States)

Author keywords

Affine atlas; Manifold splines; Polycube map; Polycube splines; Shape computing; Solid modeling

Indexed keywords

AFFINE ATLAS; MANIFOLD SPLINES; POLYCUBE MAPS; SHAPE COMPUTING; SOLID MODELING;

ALGORITHMS; COMPUTATIONAL GEOMETRY; DATA ACQUISITION; DATA STRUCTURES; IMAGE PROCESSING; TOPOLOGY;

SPLINES;

EID: 35348913736     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1236246.1236281     Document Type: Conference Paper

References (24)

1. CHOW, B., AND LUO, F. 2003. Combinatorial ricci flows on surfaces. J. Differential Geometry, 97-129.
2. FLOATER, M. S., AND HORMANN, K. 2005. Surface parameterization: a tutorial and survey. In Advances in multiresolution for geometric modelling, N. A. Dodgson, M. S. Floater, and M. A. Sabin, Eds. Springer Verlag, 157-186.
3. GOTSMAN, C., GU, X., AND SHEFFER, A. 2003. Fundamentals of spherical parameterization for 3d meshes. ACM Trans. Graph. 22, 3, 358-363.
4. GU, X., AND YAU, S.-T. 2003. Global conformal surface parameterization. In Proc. Eurographics/ACM SIGGRAPH Symp. Geometry Processing, 127-137.
5. GU, X., WANG, Y., CHAN, T. F., THOMPSON, P. M., AND YAU, S.-T. 2004. Genus zero surface conformal mapping and its application to brain surface mapping. IEEE Transactions on Medical Imaging 23, 8 (Aug.), 945-958.
6. GU, X., HE, Y., AND QIN, H. 2005. Manifold splines. In ACM Symposium on Solid and Physical Modeling, 27-38.
7. 1 globally interpolatory spline of arbitrary topology. In LNCS, vol. 3752, 295-306.
8. HE, Y., GU, X.-F., AND QIN, H. 2006. Automatic shape control of triangular B-splines of arbitrary topology. J. Comput. Sci. Technol. 21, 2, 232-237.
9. HE, Y., WANG, K., WANG, H., GU, X., AND QIN, H. 2006. Manifold T-spline. In Proceedings of Geometric Modeling and Processing, 409-A22.
10. JIN, M., WANG, Y., YAU, S.-T., AND GU, X. 2004. Optimal global conformal surface parameterization. In IEEE Visualization, 267-274.
11. JIN, M., LUO, F., AND GU, X. 2006. Computing surface hyperbolic structure and real projective structure. In Symposium on Solid and Physical Modeling, 105-116.
12. JOST, J., AND SIMHA, R. R. 1997. Compact Riemann Surfaces: An introduction to Contemporary Mathematics. Springer-Verlag Telos.
13. KHAREVYCH, L., SPRINGBORN, B., AND SCHRÖDER, P. 2006. Discrete conformal mappings via circle patterns. ACM Trans. Graph. 25, 2, 412-438.
14. LÉVY, B., PETITJEAN, S., RAY, N., AND MAILLOT, J. 2002. Least squares conformal maps for automatic texture atlas generation. In SIGGRAPH '02: Proceedings of the 29th annual conference on Computer graphics and interactive techniques, ACM Press, New York, NY, USA, 362-371.
15. LI, W.-C., RAY, N., AND LÉVY, B. 2006. Automatic and interactive mesh to T-spline conversion. In EG/ACM Symposium on Geometry Processing.
16. MAILLOT, J., YAHIA, H., AND VERROUST, A. 1993. Interactive texture mapping. In SIGGRAPH '93: Proceedings of the 20th annual conference on Computer graphics and interactive techniques, ACM Press, New York, NY, USA, 27-34.
17. RAY, N., LI, W. C., LÉVY, B., SHEFFER, A., AND ALLIEZ, P. 2006. Periodic global parameterization. ACM Transactions on Graphics.
18. SEDERBERG, T. W., ZHENG, J., BAKENOV, A., AND NASRI, A. H. 2003. T-splines and T-NURCCs. ACM Trans. Graph. 22, 3, 477-484.
19. 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 Trans. Graph. 23, 3, 276-283.
20. SHEFFER, A., LÉVY, B., MOGILNITSKY, M., AND BOGOMYAKOV, A. 2005. Abf++: fast and robust angle based flattening. ACM Trans. Graph. 24, 2, 311-330.
21. SURAZHSKY, V., AND GOTSMAN, C. 2003. Explicit surface remeshing. In SGP '03: Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing, Eurographics Association, Aire-la-Ville, Switzerland, Switzerland, 20-30.
22. TARINI, M., HORMANN, K., CIGNONI, P., AND MONTANI, C. 2004. Polycube-maps. ACM Trans. Graph. 23, 3, 853-860.
23. WANG, Y., AND ZHENG, J. 2006. Control point removal algorithm for T-spline surfaces. In GMP, 385-396.
24. ZHENG, J., WANG, Y., AND SEAH, H. S. 2005. Adaptive T-spline surface fitting to z-map models. In GRAPHITE, 405-411.