Meshless quadrangulation by global parameterization

Computers and Graphics (Pergamon)

Volumn 35, Issue 5, 2011, Pages 992-1000

  Li, Er ^a   Lévy, Bruno ^b   Zhang, Xiaopeng ^a   Che, Wujun ^a   Dong, Weiming ^a,b   Paul, Jean Claude ^b,c  

^a INSTITUTE OF AUTOMATION   (China)

^b INRIA ALICE   (France)

^c TSINGHUA UNIVERSITY   (China)

Author keywords

Meshless parameterization; Point cloud; Quadrangulation; Surface reconstruction

Indexed keywords

GRAPHIC METHODS; NEAREST NEIGHBOR SEARCH; SURFACE RECONSTRUCTION;

GEOMETRIC PROPERTIES; GLOBAL PARAMETERIZATION; MESHLESS; POINT CLOUD; PRINCIPAL DIRECTIONS; QUADRANGULATION; SHAPE RECONSTRUCTION; UNORGANIZED POINT CLOUDS;

PARAMETERIZATION;

EID: 80051607153     PISSN: 00978493     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cag.2011.05.003     Document Type: Article

References (25)

1. D. Bommes, H. Zimmer, and L. Kobbelt Mixed-integer quadrangulation ACM Trans Graph 28 2009 77:1 77:10
2. Alliez P, Ucelli G, Gotsman C, Attene M. Recent advances in remeshing of surfaces. In: Shape analysis and structuring. 2008, p. 5382.
3. P. Alliez, D. Cohen-Steiner, O. Devillers, B. Lévy, and M. Desbrun Anisotropic polygonal remeshing ACM Trans Graph 22 2003 485 493
4. Marinov M, Kobbelt L. Direct anisotropic quad-dominant remeshing. In: Proceedings of the computer graphics and applications, 12th pacific conference, p. 20716.
5. S. Dong, S. Kircher, and M. Garland Harmonic functions for quadrilateral remeshing of arbitrary manifolds Comput Aided Geom Des 22 2005 392 423 (Pubitemid 40902585)
6. Boier-Martin I, Rushmeier H, Jin J. Parameterization of triangle meshes over quadrilateral domains. In: SGP 04: Proceedings of the 2004 eurographics/ACM SIGGRAPH symposium on geometry processing, p. 193203.
7. S. Dong, P.-T. Bremer, M. Garland, V. Pascucci, and J.C. Hart Spectral surface quadrangulation ACM Trans Graph 25 2006 1057 1066 (Pubitemid 44481068)
8. Tong Y, Alliez P, Cohen-Steiner D, Desbrun M. Designing quadrangulations with discrete harmonic forms. In: Proceedings of the fourth eurographics symposium on geometry processing, p. 20110.
9. J. Huang, M. Zhang, J. Ma, X. Liu, L. Kobbelt, and H. Bao Spectral quadrangulation with orientation and alignment control ACM Trans Graph 27 2008 147:1 147:9
10. M. Zhang, J. Huang, X. Liu, and H. Bao A wave-based anisotropic quadrangulation method ACM Trans Graph 29 2010 118:1 118:8
11. N. Ray, W.C. Li, B. Lévy, A. Sheffer, and P. Alliez Periodic global parameterization ACM Trans Graph 25 2006 1460 1485 (Pubitemid 44917213)
12. F. Kälberer, M. Nieser, and K. Polthier Quadcover - surface parameterization using branched coverings Comput Graph Forum 26 2007 375 384 (Pubitemid 47606915)
13. E. Kalogerakis, D. Nowrouzezahrai, P. Simari, and K. Singh Extracting lines of curvature from noisy point clouds Comput Aided Des 41 2009 282 292
14. M.S. Floater, and M. Reimers Meshless parameterization and surface reconstruction Comput Aided Geom Des 18 2001 77 92 (Pubitemid 32264938)
15. Zwicker M, Gotsman C. Meshing point clouds using spherical parameterization. In: Proceedings of the eurographics symposium on point-based graphics, p. 17380.
16. G. Tewari, C. Gotsman, and S.J. Gortler Meshing genus-1 point clouds using discrete one-forms Comput Graph 30 2006 917 926 (Pubitemid 44750186)
17. X. Gu, and S. tung Yau Computing conformal structures of surfaces Commun Info Syst 2 2002 121 146
18. X. Guo, X. Li, Y. Bao, X. Gu, and H. Qin Meshless thin-shell simulation based on global conformal parameterization IEEE Trans Vis Comput Graph 12 2006 375 385
19. Z.L. Cheng, and X.P. Zhang Estimating differential quantities from point cloud based on a linear fitting of normal vectors Sci China Ser F Info Sci 52 2009 431 444
20. Hertzmann A, Zorin D. Illustrating smooth surfaces, In: SIGGRAPH 00, p. 51726.
21. N. Ray, B. Vallet, W.C. Li, and B. Lévy N-symmetry direction field design ACM Trans Graph 27 2008 10:1 10:13
22. P.T. Sander, and S.W. Zucker Singularities of principal direction fields from 3-d images IEEE Trans Pattern Anal Mach Intell 14 1992 309 317
23. Graphite, 2003. 〈 http://www.loria.fr/levy/graphite/index.html 〉.
24. S.T. Roweis, and L.K. Saul Nonlinear dimensionality reduction by locally linear embedding Science 290 2000 2323 2326 (Pubitemid 32041578)
25. Dey TK, Goswami S. Tight cocone: a water-tight surface reconstructor. In: Proceedings of the eighth ACM symposium on solid modeling and applications, p. 12734.