Manifold T-spline

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4077 LNCS, Issue , 2006, Pages 409-422

  He, Ying ^a   Wang, Kexiang ^a   Wang, Hongyu ^a   Gu, Xianfeng ^a   Qin, Hong ^a  

^a Stony Brook University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; HIERARCHICAL SYSTEMS; PARAMETER ESTIMATION; TENSORS; TOPOLOGY;

FINITE NUMBERS; GLOBAL CONFORMAL PARAMETERIZATION; TENSOR-PRODUCT SPLINES; ZERO POINTS;

COMPUTATIONAL GEOMETRY;

EID: 33749323869     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11802914_29     Document Type: Conference Paper

References (19)

1. Eck, M., Hoppe, H.: Automatic reconstruction of b-spline surfaces of arbitrary topological type. In: Proceedings of SIGGRAPH 96. (1996) 325-334
2. Krishnamurthy, V., Levoy, M.: Fitting smooth surfaces to dense polygon meshes. In: Proceedings of SIGGRAPH 96. (1996) 313-324
3. Sederberg, T.W., Zheng, J., Bakenov, A., Nasri, A.H.: T-splines and t-nurccs. ACM Trans. Graph. 22 (2003) 477-484
4. Gu, X., He, Y., Qin, H.: Manifold splines. In: Proceedings of ACM Symposium on Solid and Physical Modeling (SPM '05). (2005) 27-38
5. Forsey, D.R., Bartels, R.H.: Hierarchical b-spline refinement. In: SIGGRAPH'88: Proceedings of the 15th annual conference on Computer graphics and interactive techniques, New York, NY, USA, ACM Press (1988) 205-212
6. Gonzalez-Ochoa, C., Peters, J.: Localized-hierarchy surface splines (less). In: SI3D '99: Proceedings of the 1999 symposium on Interactive 3D graphics, New York, NY, USA, ACM Press (1999) 7-15
7. Yvart, A., Hahmann, S., Bonneau, G.P.: Smooth adaptive fitting of 3d models using hierarchical triangular splines. In: SMI '05: Proceedings of the International Conference on Shape Modeling and Applications 2005 (SMI' 05). (2005) 13-22
8. Sederberg, T.W., Cardon, D.L., Finnigan, G.T., North, N.S., Zheng, J., Lyche, T.: T-spline simplification and local refinement. ACM Trans. Graph. 23 (2004) 276-283
9. Peters, J.: Surfaces of arbitrary topology constructed from biquadratics and bicubics. In: Designing fair curves and surfaces. SIAM (1994) 277-293
10. Hahmann, S., Bonneau, G.P.: Polynomial surfaces interpolating arbitrary triangulations. IEEE Transactions on Visualization and Computer Graphics 9 (2003) 99-109
11. Loop, C.: Smooth spline surfaces over irregular meshes. In: SIGGRAPH '94: Proceedings of the 21 st annual conference on Computer graphics and interactive techniques. (1994) 303-310
12. Grimm, C., Hughes, J.F.: Modeling surfaces of arbitrary topology using manifolds. In: SIGGRAPH. (1995) 359-368
13. Cotrina, J., Pla, N.: Modeling surfaces from meshes of arbitrary topology. Computer Aided Geometric Design 17 (2000) 643-671
14. Cotrina, J., Pla, N., Vigo, M.: A generic approach to free form surface generation. In: SMA '02: Proceedings of the seventh ACM symposium on Solid modeling and applications. (2002) 35-44
15. Ying, L., Zorin, D.: A simple manifold-based construction of surfaces of arbitrary smoothness. ACM Trans. Graph. 23 (2004) 271-275
16. 1 globally interpolatory spline of arbitrary topology. In: Proceedings of the 3rd IEEE Workshop on Variational, Geometric and Level Set Methods in Computer Vision. Volume 3752 of Lecture Notes in Computer Science. (2005) 295-306
17. Gu, X., Wang, Y., Chan, T., Thompson, P., Yau, ST.: Genus zero surface conformal mapping and its application to brain surface mapping. IEEE Transactions on Medical Imaging 23 (2004) 949-958
18. Gotsman, C., Gu, X., Sheffer, A.: Fundamentals of spherical parameterization for 3d meshes. Proceedings of SIGGRAPH 03 (2003) 358-363
19. Gu, X., Yau, S.T.: Global conformal surface parameterization. In: Proceedings of the Eurographics/ACM SIGGRAPH symposium on Geometry processing (SGP '03). (2003) 127-137