Efficient mesh deformation using tetrahedron control mesh

Computer Aided Geometric Design

Volumn 26, Issue 6, 2009, Pages 617-626

  Huang, Jin ^a   Chen, Lu ^a   Liu, Xinguo ^a   Bao, Hujun ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Barycentric interpolation; Mesh deformation; Shape modeling

Indexed keywords

2D IMAGES; 3-D OBJECTS; BARYCENTRIC COORDINATES; BARYCENTRIC INTERPOLATION; COMPLEX OBJECTS; CONTROL MESHES; EXISTING METHODS; FIRST ORDERS; INTERPOLATION FUNCTIONS; INTERPOLATION METHODS; LOCAL TRANSFORMATIONS; MESH DEFORMATION; PIECE-WISE LINEAR; SECOND-ORDER DERIVATIVES; SHAPE MODELING; TARGET OBJECTS; TETRAHEDRON MESHES; TRIANGULAR MESHES;

COMPUTATIONAL MECHANICS; DEFORMATION; INTERPOLATION; PIECEWISE LINEAR TECHNIQUES;

THREE DIMENSIONAL;

EID: 67349219656     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cagd.2008.12.002     Document Type: Article

References (41)

1. Alexa M. Differential coordinates for local mesh morphing and deformation. The Visual Computer 19 2 (2003) 105-114
2. Barr, A.H., 1984. Global and local deformations of solid primitives. In: SIGGRAPH, pp. 21-30
3. Beier T., and Neely S. Feature-based image metamorphosis. Computer Graphics 26 2 (1992) 35-42
4. Botsch M., and Kobbelt L. An intuitive framework for real-time freeform modeling. ACM Trans. Graph. 23 3 (2004) 630-634
5. Botsch M., and Kobbelt L. Real-time shape editing using radial basis functions. Computer Graphics Forum 24 3 (2005) 611-621
6. Cohen-Or D., Solomovic A., and Levin D. Three-dimensional distance field metamorphosis. ACM Trans. Graph. 17 2 (1998) 116-141
7. Coquillart, S., 1990. Extended free-form deformation: a sculpturing tool for 3d geometric modeling. In: SIGGRAPH, pp. 187-196
8. Der, K.G., Sumner, R.W., Popović, J., 2006. Inverse kinematics for reduced deformable models. In: ACM SIGGRAPH, pp. 1174-1179
9. Feng J., Ma L., and Peng Q. A new free-form deformation through the control of parametric surfaces. Computers & Graphics 20 4 (1996) 531-539
10. Floater M.S. Mean value coordinates. Comput. Aided Geom. Des. 20 1 (2003) 19-27
11. Hsu, W.M., Hughes, J.F., Kaufman, H., 1992. Direct manipulation of free-form deformations. In: SIGGRAPH, pp. 177-184
12. Huang J., Liu X., Bao H., Guo B., and Shum H.-Y. An efficient large deformation method using domain decomposition. Computers & Graphics 30 6 (2006) 927-935
13. Huang J., Shi X., Liu X., Zhou K., Guo B., and Bao H. Geometrically based potential energy for simulating deformable objects. The Visual Computer 22 9 (2006) 740-748
14. Huang J., Shi X., Liu X., Zhou K., Wei L.-Y., Teng S., Bao H., Guo B., and Shum H.-Y. Subspace gradient domain mesh deformation. ACM Trans. Graph. 25 3 (2006)
15. Igarashi T., Moscovich T., and Hughes J.F. As-rigid-as-possible shape manipulation. ACM Trans. Graph. 24 3 (2005) 1134-1141
16. Joshi P., Meyer M., DeRose T., Green B., and Sanocki T. Harmonic coordinates for character articulation. ACM Trans. Graph. 26 3 (2007) 71
17. Ju T., Schaefer S., and Warren J. Mean value coordinates for closed triangular meshes. ACM Trans. Graph. 24 3 (2005) 561-566
18. Kho, Y., Garland, M., 2005. Sketching mesh deformations. In: Proceedings of the Symposium on Interactive 3D Graphics and Games, pp. 147-154
19. Lipman Y., Kopf J., Cohen-Or D., and Levin D. Gpu-assisted positive mean value coordinates for mesh deformations. SGP '07: Proceedings of the Fifth Eurographics Symposium on Geometry Processing (2007), Eurographics Association, Aire-la-Ville, Switzerland 117-123
20. Lipman Y., Sorkine O., Levin D., and Cohen-Or D. Linear rotation-invariant coordinates for meshes. ACM Trans. Graph. 24 3 (2005) 479-487
21. MacCracken, R., Joy, K.I., 1996. Free-form deformations with lattices of arbitrary topology. In: SIGGRAPH, pp. 181-188
22. Milliron T., Jensen R.J., Barzel R., and Finkelstein A. A framework for geometric warps and deformations. ACM Trans. Graph. 21 1 (2002) 20-51
23. Moreton, H.P., Séquin, C.H., 1992. Functional optimization for fair surface design. In: SIGGRAPH, pp. 167-176
24. Müller, M., Gross, M., 2004. Interactive virtual materials. In: Proceedings of the 2004 Conference on Graphics Interface, pp. 239-246
25. Nealen, A., Sorkine, O., Alexa, M., Cohen-Or, D., 2005. A sketch-based interface for detail-preserving mesh editing. In: SIGGRAPH '05: ACM SIGGRAPH 2005 Papers, pp. 1142-1147
26. Schaefer, S., Hakenberg, J., Warren, J., 2004. Smooth subdivision of tetrahedral meshes. In: Eurographics/ACM SIGGRAPH Symposium on Geometry Processing, pp. 147-154
27. Schaefer S., McPhail T., and Warren J. Image deformation using moving least squares. ACM Trans. Graph. 25 3 (2006) 533-540
28. Sederberg T.W., and Parry S.R. Free-form deformation of solid geometric models. SIGGRAPH '86 (1986), ACM Press 151-160
29. Shi X., Zhou K., Tong Y., Desbrun M., Bao H., and Guo B. Mesh puppetry: cascading optimization of mesh deformation with inverse kinematics. ACM Trans. Graph. 26 3 (2007) 81
30. Singh, K., Fiume, E., 1998. Wires: a geometric deformation technique. In: SIGGRAPH, pp. 405-414
31. Sorkine, O., Alexa, M., 2007. As-rigid-as-possible surface modeling. In: Proceedings of Eurographics/ACM SIGGRAPH Symposium on Geometry Processing, pp. 109-116
32. Sorkine, O., Lipman, Y., Cohen-Or, D., Alexa, M., Rössl, C., Seidel, H.-P., 2004. Laplacian surface editing. In: Proceedings of the Eurographics Symposium on Geometry Processing, pp. 179-188
33. Sumner, R.W., Popović, J., 2004. Deformation transfer for triangle meshes. In: SIGGRAPH '04: ACM SIGGRAPH 2004 Papers, pp. 399-405
34. Sumner, R.W., Zwicker, M., Gotsman, C., Popović, J., 2005. Mesh-based inverse kinematics. In: ACM SIGGRAPH, pp. 488-495
35. Weber O., Sorkine O., Lipman Y., and Gotsman C. Context-aware skeletal shape deformation. Proceedings of Eurographics. Computer Graphics Forum 26 3 (2007)
36. Welch, W., Witkin, A., 1992. Variational surface modeling. In: SIGGRAPH, pp. 157-166
37. Xu D., Zhang H., Wang Q., and Bao H. Poisson shape interpolation. SPM '05 (2005), ACM Press 267-274
38. Yoshizawa S., Belyaev A.G., and Seidel H.-P. Skeleton-based variational mesh deformations. Computer Graphics Forum (2007) 255-264
39. Yu Y., Zhou K., Xu D., Shi X., Bao H., Guo B., and Shum H.-Y. Mesh editing with Poisson-based gradient field manipulation. ACM Trans. Graph. 23 3 (2004) 644-651
40. Zayer R., Rössl C., Karni Z., and Seidel H.-P. Harmonic guidance for surface deformation. Proceedings of Eurographics 2005. Computer Graphics Forum 24 3 (2005) 601-609
41. Zhou K., Huang J., Snyder J., Liu X., Bao H., Guo B., and Shum H.-Y. Large mesh deformation using the volumetric graph Laplacian. ACM Trans. Graph. 24 3 (2005) 496-503