Quasi-developable mesh surface interpolation via mesh deformation

IEEE Transactions on Visualization and Computer Graphics

Volumn 15, Issue 3, 2009, Pages 518-528

  Tang, Kai ^a   Chen, Ming ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Cloth simulation; Developable surfaces; Flat mesh; Garment design; Mesh deformation

Indexed keywords

DEFORMATION; INTERPOLATION; LINEAR SYSTEMS; TRELLIS CODES;

CLOTH SIMULATION; DEVELOPABLE SURFACES; FLAT MESH; GARMENT DESIGN; MESH DEFORMATION;

GRAPH THEORY;

ALGORITHM; ARTICLE; AUTOMATED PATTERN RECOGNITION; COMPUTER ASSISTED DIAGNOSIS; COMPUTER GRAPHICS; COMPUTER SIMULATION; IMAGE ENHANCEMENT; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; THEORETICAL MODEL; THREE DIMENSIONAL IMAGING;

ALGORITHMS; COMPUTER GRAPHICS; COMPUTER SIMULATION; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; MODELS, THEORETICAL; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 62949241052     PISSN: 10772626     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVCG.2008.192     Document Type: Article

References (33)

1. A. Hill, "Constructivism - The European Phenomenon," Studio Int'l, vol. 171, pp. 140-147, 1966.
2. T. Akgun, A. Koman, and E. Akleman, "Developable Sculptures of Ilhan Koman," Proc. Bridges, 2006.
3. O.K.-C. Au, "Differential Techniques for Scalable and Interactive Mesh Editing," PhD dissertation, Computer Science, HKUST, 2007.
4. O.K.-C. Au, H. Fu, C.-L. Tai, and D. Cohen-Or, "Handle-Aware Isolines for Scalable Shape Editing," ACM Trans. Graphics, vol. 26, no. 3, pp. 83:1-83:10, 2007.
5. M. doCarmo, Differential Geometry of Curves and Surfaces. Prentice Hall, 1976.
6. H. Pottmann and J. Wallner, Computational Line Geometry. Springer, 2001.
7. K. Rose, A. Sheffer, J. Wither, M.-P. Cani, and B. Thibert, "Developable Surfaces from Arbitrary Sketched Boundaries," Proc. Fifth Eurographics Symp. Geometry Processing (SGP '07), pp. 163-172, 2007.
8. M. Peternell, "Developable Surface Fitting to Point Clouds," Computer Aided Geometric Design, vol. 21, no. 8, pp. 785-803, 2004.
9. H.-Y. Chen, I.-K. Lee, S. Leopoldseder, H. Pottmann, T. Randrup, and J. Wallner, "On Surface Approximation Using Developable Surfaces," Graphical Models and Image Processing, vol. 61, no. 2, pp. 110-124, 1999.
10. G. Aumann, "Interpolation with Developable Bézier Patches," Computer Aided Geometric Design, vol. 8, no. 5, pp. 409-420, 1991.
11. G. Aumann, "A Simple Algorithm for Designing Developable Bézier Surfaces," Computer Aided Geometric Design, vol. 20, nos. 8/9, pp. 601-619, 2003.
12. G. Aumann, "Degree Elevation and Developable Bézier Surfaces," Computer Aided Geometric Design, vol. 21, no. 7, pp. 661-670, 2004.
13. C.H. Chu and C.H. Séquin, "Developable Bézier Patches: Properties and Design," Computer-Aided Design, vol. 34, no. 7, pp. 511-527, 2002.
14. J. Lang and O. Röschel, "Developable (1, n)-Bézier Surfaces," Computer Aided Geometric Design, vol. 9, no. 4, pp. 291-298, 1992.
15. H. Pottmann and G.E. Farin, "Developable Rational Bézier and B-spline Surfaces," Computer Aided Geometric Design, vol. 12, no. 5, pp. 513-531, 1995.
16. P. Bo and W. Wang, "Geodesic-Controlled Developable Surfaces for Modeling Paper Bending," Computer Graphics Forum/Proc. Ann. Conf. European Assoc. for Computer Graphics (Eurographics '07), vol. 26, no. 3, pp. 329-338, 2007.
17. W. Frey, "Boundary Triangulations Approximating Developable Surfaces That Interpolate a Closed Space Curve," Int'l J. Foundations of Computer Science, vol. 13, pp. 285-302, 2002.
18. W. Frey, "Modeling Buckled Developable Surface by Triangulation," Computer-Aided Design, vol. 36, no. 4, pp. 299-313, 2004.
19. C. Wang and K. Tang, "Optimal Boundary Triangulations of an Interpolating Ruled Surface," ASME J. Computing and Information Science in Eng., vol. 5, no. 4, pp. 291-301, 2005.
20. C.C.L. Wang and K. Tang, "Achieving Developability of a Polygonal Surface by Minimum Deformation: A Study of Global and Local Optimization Approaches," The Visual Computer, vol. 20, nos. 8-9, pp. 521-539, 2004.
21. J. Mitani and H. Suzuki, "Making Papercraft Toys from Meshes Using Strip-Based Approximate Unfolding," ACM Trans. Graphics, vol. 23, no. 3, pp. 259-263, 2005.
22. I. Shatz, A. Tal, and G. Leifman, "Paper Craft Models from Meshes," The Visual Computer, vol. 22, no. 9, pp. 825-834, 2006.
23. D. Julius, V. Kraevoy, and A. Sheffer, "D-Charts: Quasi- Developable Mesh Segmentation," Computer Graphics Forum, vol. 24, no. 3, pp. 581-590, 2005.
24. Y. Liu, H. Pottmann, J. Wallner, Y.-L. Yang, and W. Wang, "Geometric Modeling with Conical Meshes and Developable Surfaces," ACM Trans. Graphics (Proc. ACM SIGGRAPH '06), vol. 25, no. 3, pp. 681-689, 2006.
25. E. Magid, O. Soldea, and E. Rivlin, "A Comparison of Gaussian and Mean Curvature Estimation Methods on Triangular Meshes of Range Image Data," Computer Vision and Image Understanding, vol. 107, no. 3, pp. 139-159, 2007.
26. D. Terzopoulost, J. Platt, A. Barr, and K. Fleischert, "Elastically Deformable Models," Proc. ACM SIGGRAPH, 1987.
27. Y.J. Liu, K. Tang, and A. Joneija, "Modeling Dynamic Developable Meshes by Hamilton Principle," Computer-Aided Design, vol. 39, no. 9, pp. 719-731, 2007.
28. S.T. Tan, T.N. Wong, Y.F. Zhao, and W.J. Chen, "A Constrained Finite Element Method for Modeling Cloth Deformation," The Visual Computer, vol. 15, no. 2, pp. 90-99, 1999.
29. P. Volino, M. Courchesne, and N. Magnenat-Thalmann, "Versatile and Efficient Techniques for Simulating Cloth and Other Deformable Objects," Proc. ACM SIGGRAPH, 1995.
30. P. Volino and N. Magnenat-Thalmann, Virtual Clothing: Theory and Practice. Springer, 2000.
31. P. Volino and N. Magnenat-Thalmann, "An Evolving System for Simulating Clothes on Virtual Actors," IEEE Computer Graphics and Applications, vol. 16, no. 5, pp. 42-51, 1996.
32. P. Volino and N. Magnenat-Thalmann, "Stop-and-Go Cloth Draping," The Visual Computer, vol. 23, no. 8, pp. 669-677, 2007.
33. R. Goldenthal, D. Harmon, R. Fattal, M. Bercovier, and E. Grinspun, "Efficient Simulation of Inextensible Cloth," ACM Trans. Graphics (Proc. ACM SIGGRAPH '07), vol. 26, no. 3, 2007.