Towards flattenable mesh surfaces

CAD Computer Aided Design

Volumn 40, Issue 1, 2008, Pages 109-122

  Wang, Charlie C L ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Constrained optimization; Flattenable; Freeform mesh surfaces; Geometry processing; Nonlinear subdivision

Indexed keywords

COMPUTATION THEORY; COMPUTATIONAL GEOMETRY; CONSTRAINED OPTIMIZATION; PERTURBATION TECHNIQUES; SURFACE ANALYSIS;

FREEFORM MESH SURFACES; GEOMETRY PROCESSING; LAPLACIAN MESHES; NONLINEAR SUBDIVISION; POLYGONAL MESH;

PRODUCT DEVELOPMENT;

EID: 38649092751     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cad.2007.06.001     Document Type: Article

References (49)

1. Azariadis P.N., and Aspragathos N.A. Design of plane development of doubly curved surface. Computer-Aided Design 29 (1997) 675-685
2. Aono M., Breen D.E., and Wozny M.J. Modeling methods for the design of 3D broadcloth composite parts. Computer-Aided Design 33 (2001) 989-1007
3. Aono M., Breen D.E., and Wozny M.J. Fitting a woven-cloth model to a curved surface: Mapping algorithms. Computer-Aided Design 26 (1994) 278-292
4. Breen DE, House DH, Wozny MJ. Predicting the drape of woven cloth using interacting particles. In: Proceedings of SIGGRAPH 94. 1994 p. 365-72
5. Botsch M, Kobbelt L. A remeshing approach to multiresolution modeling. In: Proceedings of Eurographics Symposium on Geometry Processing. 2004 p. 185-92
6. Bridson R, Marino S, Fedkiw R. Simulation of clothing with folds and wrinkles. In: Proceedings of ACM SIGGRAPH/Eurographics Symposium on Computer Animation 2003. 2003. p. 28-36
7. Baraff D, Witkin A. Large steps in cloth simulation. In: Proceedings of SIGGRAPH 98. 1998. p. 43-54
8. Chen D., Cohen-Or D., Sorkine O., and Toledo S. Algebraic analysis of high-pass quantization. ACM Transactions on Graphics 24 4 (2005) 1259-1282
9. Choi K.J., and Ko H.S. Stable but responsive cloth. ACM Transactions on Graphics 21 3 (2002) 604-611
10. Chen H.-Y., Lee I.-K., Leopoldseder S., Pottmann H., Randrup T., and Wallner J. On surface approximation using developable surfaces. Graphical Models and Image Processing 61 (1999) 110-124
11. Chu C.H., and Séquin C.H. Developable Bézier patches: Properties and design. Computer-Aided Design 34 7 (2002) 511-527
12. Decaudin P., Julius D., Wither J., Boissieux L., Sheffer A., and Cani M.-P. Virtual garments: A fully geometric approach for clothing design. Computer Graphics Forum 25 3 (2006) 625-634
13. Desbrun M., Meyer M., and Alliez P. Intrinsic parameterizations of surface meshes. Computer Graphics Forum 21 3 (2002) 209-218
14. Desbrun M, Meyer M, Schröder P, Barr AH. Implicit fairing of irregular meshes using diffusion and curvature flow. In: Proceedings of SIGGRAPH 99. 1999. p. 317-24
15. do Carmo MP. Differential geometry of curves and surfaces. Englewood Cliffs (NJ): Prentice-Hall
16. Floater M.S., and Hormann K. Surface parameterization: A tutorial and survey. In: Dodgson N.A., Floater M.S., and Sabin M.A. (Eds). Advances in multiresolution for geometric modelling (2005), Springer-Verlag, Heidelberg 157-186
17. Julius D., Kraevoy V., and Sheffer A. D-Charts: Quasi-developable mesh segmentation. Computer Graphics Forum 24 3 (2005) 581-590
18. Karni Z, Gotsman C. Spectral compression of mesh geometry. In: Proceedings of ACM SIGGRAPH 2000. 2000. p. 279-86
19. Karni Z, Gotsman C, Gortler SJ. Free-boundary linear parameterization of 3D Meshes in the presence of constraints. In: Proceedings of shape modeling international. 2005. p. 266-75
20. Kobbelt L. sqrt(3)-subdivision. In: Proceedings of SIGGRAPH 2000. 2000. p. 103-12
21. Kobbelt L., and Schröder P. A multiresolution framework for variational subdivision. ACM Transactions on Graphics 17 4 (1998) 209-237
22. Li S, Demmel J, Gilbert J. SuperLU, http://crd.lbl.gov/ xiaoye/SuperLU/; February, 2006
23. Lee Y., Kim H.-S., and Lee S. Mesh parameterization with a virtual boundary. Computers & Graphics 26 (2002) 677-686
24. Leopoldseder S., and Pottmann H. Approximation of developable surfaces with cone spline surfaces. Computer-Aided Design 30 (1998) 571-582
25. Lévy B., Petitjean S., Ray N., and Maillot J. Least squares conformal maps for automatic texture atlas generation. ACM Transactions on Graphics 21 (2002) 362-371
26. Liu Y., Pottmann H., Wallner J., Yang Y.-L., and Wang W. Geometric modeling with conical meshes and developable surfaces. ACM Transactions on Graphics 25 3 (2006) 681-689
27. Meyer M., Desbrun M., Schröder P., and Barr A.H. Discrete differential-geometry operators for triangulated 2-manifolds. Visualization and mathematics vol. III (2003), Springer 35-58
28. McCartney J., Hinds B.K., and Seow B.L. The flattening of triangulated surfaces incorporating darts and gussets. Computer-Aided Design 31 (1999) 249-260
29. Nocedal J., and Wright S.J. Numerical optimization (1999), Springer-Verlag
30. Peternell M. Recognition and reconstruction of developable surfaces from point clouds. In: Proceedings of geometric modeling and processing 2004. p. 301-10
31. Press W.H., Flannery B.P., Teukolsky S.A., and Vetterling W.T. Numerical recipes in C: The art of scientific computing (1995), Cambridge University Press, Cambridge p. 71-89
32. Peternell M., and Steiner T. Reconstruction of piecewise planar objects from point clouds. Computer-Aided Design 36 (2004) 333-342
33. Pottmann H., and Wallner J. Approximation algorithms for developable surfaces. Computer Aided Geometric Design 16 (1999) 539-556
34. Sorkine O, Cohen-Or D. Least-squares meshes. In: Proceedings of Shape Modeling International 2004. 2004. p. 191-99
35. Sorkine O., Cohen-Or D., Irony D., and Toledo S. Geometry-aware bases for shape approximation. IEEE Transactions on Visualization and Computer Graphics 11 2 (2005) 171-180
36. Sorkine O, Cohen-Or D, Lipman Y, Alexa M, Rössl C, Seidel H-P. Laplacian surface editing. In: Eurographics/ACM SIGGRAPH Symposium on Geometry Processing 2004. p. 179-88
37. Sheffer A., Lévy B., Mogilnitsky M., and Bogomjakov A. ABF++: Fast and robust angle based flattening. ACM Transactions on Graphics 24 2 (2005) 311-330
38. Sheffer A., and de Sturler E. Parameterization of faceted surfaces for meshing using angle based flattening. Engineering with Computers 17 3 (2001) 326-337
39. Sorkine O. Differential representations for mesh processing. Computer Graphics Forum 25 4 (2006) 789-807
40. Taubin G. A signal processing approach to fair surface design. In: Proceedings of ACM SIGGRAPH 95. p. 351-8
41. Volino P, Courchesne M, Magnenat-Thalmann N. Versatile and efficient techniques for simulating cloth and other deformable objects. In: Proceedings of SIGGRAPH 95. 1995. p. 137-44
42. Volino P, Magnenat-Thalmann N. Accurate collision response on polygon mehses. In: Proceedings of Computer Animation 2000. 2000. p. 137-44
43. Wang C.C.L., Smith S.S.F., and Yuen M.M.F. Surface flattening based on energy model. Computer-Aided Design 34 11 (2002) 823-833
44. Wang C.C.L., and Tang K. Achieving developability of a polygonal surface by minimum deformation: A study of global and local optimization approaches. The Visual Computer 20 8-9 (2004) 521-539
45. Wang C.C.L., Tang K., and Yeung B.M.L. Freeform surface flattening by fitting a woven mesh model. Computer-Aided Design 37 (2005) 799-814
46. Wang C.C.L., Wang Y., and Yuen M.M.F. On increasing the developability of a trimmed NURBS surface. Engineering with Computers 20 1 (2004) 54-64
47. Wang C.C.L., Wang Y., and Yuen M.M.F. Design automation for customized apparel products. Computer-Aided Design 37 7 (2005) 675-691
48. Wang Y., Wang C.C.L., and Yuen M.M.F. Duplicate-skins for compatible mesh modelling. Proceedings of the 2006 ACM symposium on solid and physical modeling (2006), Cardiff University, Wales (UK) 207-217
49. Zorin D, Schröder P, Sweldens W. Interpolating subdivision for meshes with arbitrary topology. In: Proceedings of SIGGRAPH 96. 1996. p. 189-92