Component-aware tensor-product trivariate splines of arbitrary topology

Computers and Graphics (Pergamon)

Volumn 36, Issue 5, 2012, Pages 329-340

  Li, Bo ^a   Qin, Hong ^a  

^a STONY BROOK UNIVERSITY   (United States)

Author keywords

Boundary restriction; Semi standardness; Solid models of arbitrary topology; Tensor product splines; Trivariate splines

Indexed keywords

BLENDING; COMPUTER AIDED DESIGN; MERGING; TOPOLOGY;

BOUNDARY RESTRICTION; SEMI-STANDARDNESS; SOLID MODELS OF ARBITRARY TOPOLOGIES; TENSOR-PRODUCT SPLINES; TRIVARIATE SPLINES;

TENSORS;

EID: 84860738123     PISSN: 00978493     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cag.2012.03.007     Document Type: Conference Paper

References (34)

1. K. Wang, X. Li, B. Li, H. Xu, and H. Qin Restricted trivariate polycube splines for volumetric data modeling IEEE Trans Vis Comput Graph 18 5 2012 703 716
2. Li B, Li X, Wang K, Qin H. Generalized polycube splines. In: SMI10: international conference on shape modeling and applications; 2010. p. 261-6.
3. Myles A, Yeo Y, Peters J. GPU conversion of quad meshes to smooth surfaces. In: SPM'08: proceedings of the 2008 ACM symposium on solid and physical modeling; 2008. p. 321-6.
4. W. Song, and X. Yang Free-form deformation with weighted t-spline Vis Comput 21 3 2005 139 151 (Pubitemid 40609419)
5. T. Hughes, J. Cottrell, and Y. Bazilev Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement Comput Methods Appl Mech Eng 194 2005 4135 4195 (Pubitemid 40875970)
6. C. Rössl, F. Zeilfelder, G. Nurnberger, and H. Seidel Reconstruction of volume data with quadratic super splines IEEE Trans Vis Comput Graph 10 4 2003 397 409
7. Li W, Ray N, Lévy B. Automatic and interactive mesh to t-spline conversion. In: Symposium on geometry processing; 2006. p. 191-200.
8. H. Wang, Y. He, X. Li, X. Gu, and H. Qin Polycube splines Comput Aided Des 40 6 2008 721 733
9. Zhou X, Lu J. NURBS-based Galerkin method and application to skeletal muscle modeling. In: ACM solid and physical modeling symposium; 2005. p. 71-8. (Pubitemid 43111277)
10. T. Martin, E. Cohen, and R. Kirby Volumetric parameterization and trivariate B-spline fitting using harmonic functions Comput Aided Geometric Des 26 6 2009 648 664
11. Y. Zhang, Y. Bazilevs, S. Goswami, C.L. Bajaj, and T. Hughes Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow Comput Methods Appl Mech Eng 196 29-30 2007 2943 2959 (Pubitemid 46672754)
12. T. Martin, and E. Cohen Volumetric parameterizations of complex objects by respecting multiple materials Comput Graph 34 3 2010 187 197
13. T. Sederberg, J. Zheng, A. Bakenov, and A. Nasri T-splines and t-NURCCs ACM Trans Graph 22 3 2003 477 484
14. T. Sederberg, D. Cardon, G. Finnigan, N. North, J. Zheng, and T. Lyche T-spline simplification and local refinement ACM Trans Graph 23 3 2004 276 283
15. Sederberg T, Zheng J, Sewell D, Sabin M. Non-uniform recursive subdivision surfaces. In: SIGGRAPH98; 1998. p. 387-94.
16. Ipson H. T-spline merging, Masters thesis, Brigham Yong University; 2005.
17. T. Sederberg, G. Finnigan, X. Li, H. Lin, and H. Ipson Watertight trimmed NURBS ACM Trans Graph 27 3 2008 1 8
18. A. Myles, N. Pietroni, D. Kovacs, and D. Zorin Feature-aligned t-meshes ACM Trans Graph 29 4 2010 117:1 117:11
19. Loop C, Schaefer S. G2 tensor product splines over extraordinary vertices. In: Proceedings of the symposium on geometry processing, SGP '08; 2008. p. 1373-82.
20. Peters J, Fan J. The projective linear transition map for constructing smooth surfaces. In: Proceedings of the 2010 shape modeling international conference, SMI '10; 2010. p. 124-30.
21. M. Tarini, K. Hormann, P. Cignoni, and C. Montani Polycube maps ACM Trans Graph 23 3 2004 853 860
22. Lin J, Jin X, Fan Z, Wang C. Automatic polycube-maps. In: Geometric modeling and processing; 2008. p. 3-16.
23. J. Gregson, A. Sheffer, and E. Zhang All-hex mesh generation via volumetric polycube deformation Comput Graph Forum 30 5 2011 1407 1416
24. P. Alliez, D. Cohen-Steiner, M. Yvinec, and M. Desbrun Variational tetrahedral meshing ACM Trans Graph 24 2005 617 625
25. Yan D, Wang W, Lévy B, Liu Y. Efficient computation of clipped voronoi diagram. Comput Aided Des. http://dx.doi.org/10.1016/j.cad.2011.09.004, in press.
26. Wang Y, Gu X, Chan T, Thompson P, Yau S. Volumetric harmonic brain mapping. In: IEEE symposium on biomedical imaging: macro to nano; 2004. p. 1275-8. (Pubitemid 40514177)
27. Xia J, He Y, Yin X, Huan S, Gu X. Direct-product volumetric parametrization of handlebodies via harmonic fields. In: Shape modeling international conference; 2010. p. 3-12.
28. L. Shapira, A. Shamir, and D. Cohen-Or Consistent mesh partitioning and skeletonisation using the shape diameter function Vis Comput 24 2008 249 259
29. Dey T, Li K, Sun J. On computing handle and tunnel loops. In: International conference on cyber worlds; 2007. p. 357-66.
30. X. Li, X. Gu, and H. Qin Surface mapping using consistent pants decomposition IEEE Trans Vis Comput Graph 15 4 2009 558 571
31. Taubin G. A signal processing approach to fair surface design. In: SIGGRAPH '95: proceedings of the 22nd annual conference on computer graphics and interactive techniques; 1995. p. 351-8.
32. M. Floater Mean value coordinates Comput Aided Geometric Des 20 1 2003 19 27
33. K. Zhou, J. Huang, J. Snyder, X. Liu, H. Bao, and B. Guo Large mesh deformation using the volumetric graph Laplacian ACM Trans Graph 24 3 2005 496 503
34. Electronic supplement 〈 http://www.cs.stonybrook.edu/∼bli/ smi12appendix 〉.