Rigidity constraints for large mesh deformation

Journal of Computer Science and Technology

Volumn 24, Issue 1, 2009, Pages 47-55

  Zhao, Yong ^a   Liu, Xin Guo ^a   Peng, Qun Sheng ^a   Bao, Hu Jun ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Energy minimization; Explicit rotation estimation; Laplacian; Mean value coordinates; Mesh deformation; Rigidity constraint

Indexed keywords

ENERGY MINIMIZATION; EXPLICIT ROTATION ESTIMATION; LAPLACIAN; MEAN VALUE COORDINATES; MESH DEFORMATION; RIGIDITY CONSTRAINT;

LAPLACE TRANSFORMS; RIGIDITY; ROTATION;

DEFORMATION;

EID: 65149087742     PISSN: 10009000     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11390-009-9213-8     Document Type: Article

References (39)

1. M Alexa 2003 Differential coordinates for local mesh morphing and deformation The Visual Computer 19 2 105 114
2. Lipman Y, Sorkine O, Cohen-Or D et al. Differential coordinates for interactive mesh editing. In Proc. Shape Modeling International, Genova, Italy, June, 2004, pp.181-190.
3. Sorkine O, Lipman Y, Cohen-Or D et al. Laplacian surface editing. In Proc. Eurographics Symposium on Geometry Processing, Nice, France, July 8-10, 2004, pp.175-184.
4. Y Yu K Zhou D Xu 2004 Mesh editing with poisson-based gradient field manipulation ACM Transactions on Graphics 23 3 644 651
5. Au O K-C, Tai C-L, Fu H et al. Mesh editing with curvature flow Laplacian. In Proc. Eurographics Symposium on Geometry Processing, Vienna, Austria, July 4-6, 2005. (poster)
6. Y Lipman O Sorkine D Levin 2005 Linear rotation-invariant coordinates for meshes ACM Transactions on Graphics 24 3 479 487
7. R Zayer C Rössl Z Karni 2005 Harmonic guidance for surface deformation Computer Graphics Forum 24 3 601 609 (Pubitemid 43934677)
8. K Zhou J Huang J Snyder 2005 Large mesh deformation using the volumetric graph Laplacian ACM Transactions on Graphics 24 3 496 503
9. O K-C Au C-L Tai L Liu 2006 Dual Laplacian editing for meshes IEEE Transaction on Visualization and Computer Graphics 12 3 386 395
10. J Huang X Shi X Liu 2006 Geometrically-based potential energy for simulating deformable objects The Visual Computer 22 9 740 748 (Pubitemid 44371182)
11. J Huang X Shi X Liu 2006 Subspace gradient domain mesh deformation ACM Transactions on Graphics 25 3 1126 1134 (Pubitemid 44481076)
12. L Shi Y Yu N Bell 2006 A fast multigrid algorithm for mesh deformation ACM Transactions on Graphics 25 3 1108 1117 (Pubitemid 44481074)
13. O K-C Au H Fu C-L Tai 2007 Handle-aware isolines for scalable shape editing ACM Transactions on Graphics 26 3 Article 83 (Pubitemid 47219916)
14. Y Lipman D Cohen-Or R Gal 2007 Volume and shape preservation via moving frame manipulation ACM Transactions on Graphics 26 1 Article 5 (Pubitemid 46137710)
15. W Xu K Zhou Y Yu 2007 Gradient domain editing of deforming mesh sequences ACM Transactions on Graphics 26 3 Article 84 (Pubitemid 47219917)
16. M S Floater G Kos M Reimers 2005 Mean value coordinates in 3D Computer Aided Geometric Design 22 7 623 631
17. T Ju S Schaefer J Warren 2005 Mean value coordinates for closed triangular meshes ACM Transactions on Graphics 24 3 561 566
18. G Dui 1998 Determination of the rotation tensor in the polar decomposition Journal of Elasticity 50 3 197 208
19. Sederberg T, Parry S. Free-form deformation of solid geometric models. In Proc. SIGGRAPH, Dallas, Texas, USA, August 18-22, 1986, pp.151-160.
20. Hus W, Hughes J, Kaufman H. Direct manipulation of free-form deformations. In Proc. SIGGRAPH, Chicago, Illinois, USA, July 26-31, 1992, pp.177-184.
21. Singh K, Fiume E. Wires: A geometric deformation technique. In Proc. SIGGRAPH, Orlando, Florida, USA, July 19-24, 1998, pp.405-414.
22. S Hu H Zhang C-L Tai 2001 Direct manipulation of FFD: Efficient explicit solutions and decomposible multiple point constraints The Visual Computer 17 6 370 379
23. P Joshi M Meyer T DeRose 2007 Harmonic coordinates for character articulation ACM Transactions on Graphics 26 3 Article 71 (Pubitemid 47224774)
24. Alexa M, Cohen-Or D, Levin D. As-rigid-as-possible shape interpolation. In Proc. SIGGRAPH, New Orleans, Louisiana, July 23-28, 2000, pp.157-165.
25. R W Sumner J Popoviæ 2004 Deformation transfer for triangle meshes ACM Transactions on Graphics 23 3 399 405
26. H Yan S Hu R Martin 2008 Shape deformation using a skeleton to drive simplex transformations IEEE Transactions on Visualization and Computer Graphics 14 3 693 706
27. Zorin D, Schröder P, Sweldens W. Interactive multiresolution mesh editing. In Proc. SIGGRAPH, Los Angeles, California, August 3-8, 1997, pp.259-268.
28. Kobbelt L, Campagna S, Vorsatz J et al. Interactive multi-resolution modeling on arbitrary meshes. In Proc. SIGGRAPH, Orlando, Florida, July 19-24, 1998, pp.105-114.
29. Guskov I, Sweldens W, Schröder P. Multiresolution signal processing for meshes. In Proc. SIGGRAPH, Los Angeles, California, 1999, pp.325-334.
30. M Botsch L Kobbelt 2003 Multiresolution surface representation based on displacement volumes Computer Graphics Forum 22 3 483 491
31. B Sauvage S Hahmann G-P Bonneau 2007 Volume preservation of multiresolution meshes Computer Graphics Forum 26 3 275 283 (Pubitemid 47606905)
32. M Müller B Heidelberger M Teschner 2005 Meshless deformations based on shape matching ACM Transactions on Graphics 24 3 471 478
33. Liepa P. Filling holes in meshes. In Proc. Eurographics Symposium on Geometry Processing, Aachen, Germany, June 23-25, 2003, pp.200-205.
34. T Ju 2004 Robust repair of polygonal models ACM Transactions on Graphics 23 3 888 895
35. Nguyen M X, Yuan X, Chen B. Geometry completion and detail generation by texture synthesis. In Proc. Pacific Graphics, Macao, China, October 12-14, 2005, pp.23-32.
36. Desbrun M, Meyer M, Scheöder P et al. Implicit fairing of irregular meshes using diffusion and curvature flow. In Proc. SIGGRAPH, Los Angeles, California, August 8-13, 1999, pp.317-324.
37. A Hoger D Carlson 1984 Determination of the stretch and rotation in the polar decomposition of the deformation gradient Quart. Appl. Math. 42 1 113 117
38. K Sawyers 1986 Comments on the paper "Determination of the stretch and rotation in the polar decomposition of the deformation gradient" by A. Hoger and D.E. Carlson Quart. Appl. Math. 44 2 309 311
39. Z Xiong Q Zheng 1988 General algorithms for the polar decomposition and strains Acta Mechanica Sinica 4 2 175 181