{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T14:36:37Z","timestamp":1790865397576,"version":"4.1.0"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Comput. Sci. Technol."],"published-print":{"date-parts":[[2009,1]]},"DOI":"10.1007\/s11390-009-9213-8","type":"journal-article","created":{"date-parts":[[2009,3,26]],"date-time":"2009-03-26T14:12:18Z","timestamp":1238076738000},"page":"47-55","source":"Crossref","is-referenced-by-count":8,"title":["Rigidity Constraints for Large Mesh Deformation"],"prefix":"10.1007","volume":"24","author":[{"given":"Yong","family":"Zhao","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xin-Guo","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qun-Sheng","family":"Peng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hu-Jun","family":"Bao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2009,3,1]]},"reference":[{"issue":"2","key":"9213_CR1","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1007\/s00371-002-0180-0","volume":"19","author":"M Alexa","year":"2003","unstructured":"Alexa M. Differential coordinates for local mesh morphing and deformation. The Visual Computer, 2003, 19(2): 105\u2013114.","journal-title":"The Visual Computer"},{"key":"9213_CR2","doi-asserted-by":"crossref","unstructured":"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\u2013190.","DOI":"10.1109\/SMI.2004.1314505"},{"key":"9213_CR3","doi-asserted-by":"crossref","unstructured":"Sorkine O, Lipman Y, Cohen-Or D et al. Laplacian surface editing. In Proc. Eurographics Symposium on Geometry Processing, Nice, France, July 8\u201310, 2004, pp.175\u2013184.","DOI":"10.1145\/1057432.1057456"},{"issue":"3","key":"9213_CR4","doi-asserted-by":"crossref","first-page":"644","DOI":"10.1145\/1015706.1015774","volume":"23","author":"Y Yu","year":"2004","unstructured":"Yu Y, Zhou K, Xu D et al. Mesh editing with poisson-based gradient field manipulation. ACM Transactions on Graphics, 2004, 23(3): 644\u2013651.","journal-title":"ACM Transactions on Graphics"},{"key":"9213_CR5","unstructured":"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\u20136, 2005. (poster)"},{"issue":"3","key":"9213_CR6","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1145\/1073204.1073217","volume":"24","author":"Y Lipman","year":"2005","unstructured":"Lipman Y, Sorkine O, Levin D et al. Linear rotation-invariant coordinates for meshes. ACM Transactions on Graphics, 2005, 24(3): 479\u2013487.","journal-title":"ACM Transactions on Graphics"},{"issue":"3","key":"9213_CR7","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1111\/j.1467-8659.2005.00885.x","volume":"24","author":"R Zayer","year":"2005","unstructured":"Zayer R, R\u00f6ssl C, Karni Z et al. Harmonic guidance for surface deformation. Computer Graphics Forum, 2005, 24(3): 601\u2013609.","journal-title":"Computer Graphics Forum"},{"issue":"3","key":"9213_CR8","doi-asserted-by":"crossref","first-page":"496","DOI":"10.1145\/1073204.1073219","volume":"24","author":"K Zhou","year":"2005","unstructured":"Zhou K, Huang J, Snyder J et al. Large mesh deformation using the volumetric graph Laplacian. ACM Transactions on Graphics, 2005, 24(3): 496\u2013503.","journal-title":"ACM Transactions on Graphics"},{"issue":"3","key":"9213_CR9","doi-asserted-by":"crossref","first-page":"386","DOI":"10.1109\/TVCG.2006.47","volume":"12","author":"O K-C Au","year":"2006","unstructured":"Au O K-C, Tai C-L, Liu L et al. Dual Laplacian editing for meshes. IEEE Transaction on Visualization and Computer Graphics, 2006, 12(3): 386\u2013395.","journal-title":"IEEE Transaction on Visualization and Computer Graphics"},{"issue":"9","key":"9213_CR10","doi-asserted-by":"crossref","first-page":"740","DOI":"10.1007\/s00371-006-0058-7","volume":"22","author":"J Huang","year":"2006","unstructured":"Huang J, Shi X, Liu X et al. Geometrically-based potential energy for simulating deformable objects. The Visual Computer, 2006, 22(9): 740\u2013748.","journal-title":"The Visual Computer"},{"issue":"3","key":"9213_CR11","doi-asserted-by":"crossref","first-page":"1126","DOI":"10.1145\/1141911.1142003","volume":"25","author":"J Huang","year":"2006","unstructured":"Huang J, Shi X, Liu X et al. Subspace gradient domain mesh deformation. ACM Transactions on Graphics, 2006, 25(3): 1126\u20131134.","journal-title":"ACM Transactions on Graphics"},{"issue":"3","key":"9213_CR12","doi-asserted-by":"crossref","first-page":"1108","DOI":"10.1145\/1141911.1142001","volume":"25","author":"L Shi","year":"2006","unstructured":"Shi L, Yu Y, Bell N et al. A fast multigrid algorithm for mesh deformation. ACM Transactions on Graphics, 2006, 25(3): 1108\u20131117.","journal-title":"ACM Transactions on Graphics"},{"issue":"3","key":"9213_CR13","doi-asserted-by":"crossref","first-page":"Article 83","DOI":"10.1145\/1276377.1276481","volume":"26","author":"O K-C Au","year":"2007","unstructured":"Au O K-C, Fu H, Tai C-L et al. Handle-aware isolines for scalable shape editing. ACM Transactions on Graphics, 2007, 26(3): Article 83.","journal-title":"ACM Transactions on Graphics"},{"issue":"1","key":"9213_CR14","doi-asserted-by":"crossref","first-page":"Article 5","DOI":"10.1145\/1189762.1189767","volume":"26","author":"Y Lipman","year":"2007","unstructured":"Lipman Y, Cohen-Or D, Gal R et al. Volume and shape preservation via moving frame manipulation. ACM Transactions on Graphics, 2007, 26(1): Article 5.","journal-title":"ACM Transactions on Graphics"},{"issue":"3","key":"9213_CR15","doi-asserted-by":"crossref","first-page":"Article 84","DOI":"10.1145\/1276377.1276482","volume":"26","author":"W Xu","year":"2007","unstructured":"Xu W, Zhou K, Yu Y et al. Gradient domain editing of deforming mesh sequences. ACM Transactions on Graphics, 2007, 26(3): Article 84.","journal-title":"ACM Transactions on Graphics"},{"issue":"7","key":"9213_CR16","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1016\/j.cagd.2005.06.004","volume":"22","author":"M S Floater","year":"2005","unstructured":"Floater M S, Kos G, Reimers M. Mean value coordinates in 3D. Computer Aided Geometric Design, 2005, 22(7): 623\u2013631.","journal-title":"Computer Aided Geometric Design"},{"issue":"3","key":"9213_CR17","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1145\/1073204.1073229","volume":"24","author":"T Ju","year":"2005","unstructured":"Ju T, Schaefer S, Warren J. Mean value coordinates for closed triangular meshes. ACM Transactions on Graphics, 2005, 24(3): 561\u2013566.","journal-title":"ACM Transactions on Graphics"},{"issue":"3","key":"9213_CR18","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1023\/A:1007407802076","volume":"50","author":"G Dui","year":"1998","unstructured":"Dui G. Determination of the rotation tensor in the polar decomposition. Journal of Elasticity, 1998, 50(3): 197\u2013208.","journal-title":"Journal of Elasticity"},{"key":"9213_CR19","doi-asserted-by":"crossref","unstructured":"Sederberg T, Parry S. Free-form deformation of solid geometric models. In Proc. SIGGRAPH, Dallas, Texas, USA, August 18\u201322, 1986, pp.151\u2013160.","DOI":"10.1145\/15886.15903"},{"key":"9213_CR20","doi-asserted-by":"crossref","unstructured":"Hus W, Hughes J, Kaufman H. Direct manipulation of free-form deformations. In Proc. SIGGRAPH, Chicago, Illinois, USA, July 26\u201331, 1992, pp.177\u2013184.","DOI":"10.1145\/142920.134036"},{"key":"9213_CR21","doi-asserted-by":"crossref","unstructured":"Singh K, Fiume E. Wires: A geometric deformation technique. In Proc. SIGGRAPH, Orlando, Florida, USA, July 19\u201324, 1998, pp.405\u2013414.","DOI":"10.1145\/280814.280946"},{"issue":"6","key":"9213_CR22","doi-asserted-by":"crossref","first-page":"370","DOI":"10.1007\/s003710100114","volume":"17","author":"S Hu","year":"2001","unstructured":"Hu S, Zhang H, Tai C-L et al. Direct manipulation of FFD: Efficient explicit solutions and decomposible multiple point constraints. The Visual Computer, 2001, 17(6): 370\u2013379.","journal-title":"The Visual Computer"},{"issue":"3","key":"9213_CR23","doi-asserted-by":"crossref","first-page":"Article 71","DOI":"10.1145\/1276377.1276466","volume":"26","author":"P Joshi","year":"2007","unstructured":"Joshi P, Meyer M, DeRose T et al. Harmonic coordinates for character articulation. ACM Transactions on Graphics, 2007, 26(3): Article 71.","journal-title":"ACM Transactions on Graphics"},{"key":"9213_CR24","doi-asserted-by":"crossref","unstructured":"Alexa M, Cohen-Or D, Levin D. As-rigid-as-possible shape interpolation. In Proc. SIGGRAPH, New Orleans, Louisiana, July 23\u201328, 2000, pp.157\u2013165.","DOI":"10.1145\/344779.344859"},{"issue":"3","key":"9213_CR25","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1145\/1015706.1015736","volume":"23","author":"R W Sumner","year":"2004","unstructured":"Sumner R W, Popovi\u00e6 J. Deformation transfer for triangle meshes. ACM Transactions on Graphics, 2004, 23(3): 399\u2013405.","journal-title":"ACM Transactions on Graphics"},{"issue":"3","key":"9213_CR26","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1109\/TVCG.2008.28","volume":"14","author":"H Yan","year":"2008","unstructured":"Yan H, Hu S, Martin R et al. Shape deformation using a skeleton to drive simplex transformations. IEEE Transactions on Visualization and Computer Graphics, 2008, 14(3): 693\u2013706.","journal-title":"IEEE Transactions on Visualization and Computer Graphics"},{"key":"9213_CR27","doi-asserted-by":"crossref","unstructured":"Zorin D, Schr\u00f6der P, Sweldens W. Interactive multiresolution mesh editing. In Proc. SIGGRAPH, Los Angeles, California, August 3\u20138, 1997, pp.259\u2013268.","DOI":"10.1145\/258734.258863"},{"key":"9213_CR28","doi-asserted-by":"crossref","unstructured":"Kobbelt L, Campagna S, Vorsatz J et al. Interactive multi-resolution modeling on arbitrary meshes. In Proc. SIGGRAPH, Orlando, Florida, July 19\u201324, 1998, pp.105\u2013114.","DOI":"10.1145\/280814.280831"},{"key":"9213_CR29","doi-asserted-by":"crossref","unstructured":"Guskov I, Sweldens W, Schr\u00f6der P. Multiresolution signal processing for meshes. In Proc. SIGGRAPH, Los Angeles, California, 1999, pp.325\u2013334.","DOI":"10.1145\/311535.311577"},{"issue":"3","key":"9213_CR30","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1111\/1467-8659.00696","volume":"22","author":"M Botsch","year":"2003","unstructured":"Botsch M, Kobbelt L. Multiresolution surface representation based on displacement volumes. Computer Graphics Forum, 2003, 22(3): 483\u2013491.","journal-title":"Computer Graphics Forum"},{"issue":"3","key":"9213_CR31","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1111\/j.1467-8659.2007.01049.x","volume":"26","author":"B Sauvage","year":"2007","unstructured":"Sauvage B, Hahmann S, Bonneau G-P. Volume preservation of multiresolution meshes. Computer Graphics Forum, 2007, 26(3): 275\u2013283.","journal-title":"Computer Graphics Forum"},{"issue":"3","key":"9213_CR32","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1145\/1073204.1073216","volume":"24","author":"M M\u00fcller","year":"2005","unstructured":"M\u00fcller M, Heidelberger B, Teschner M et al. Meshless deformations based on shape matching. ACM Transactions on Graphics, 2005, 24(3): 471\u2013478.","journal-title":"ACM Transactions on Graphics"},{"key":"9213_CR33","unstructured":"Liepa P. Filling holes in meshes. In Proc. Eurographics Symposium on Geometry Processing, Aachen, Germany, June 23\u201325, 2003, pp.200\u2013205."},{"issue":"3","key":"9213_CR34","doi-asserted-by":"crossref","first-page":"888","DOI":"10.1145\/1015706.1015815","volume":"23","author":"T Ju","year":"2004","unstructured":"Ju T. Robust repair of polygonal models. ACM Transactions on Graphics, 2004, 23(3): 888\u2013895.","journal-title":"ACM Transactions on Graphics"},{"key":"9213_CR35","doi-asserted-by":"crossref","unstructured":"Nguyen M X, Yuan X, Chen B. Geometry completion and detail generation by texture synthesis. In Proc. Pacific Graphics, Macao, China, October 12\u201314, 2005, pp.23\u201332.","DOI":"10.1007\/s00371-005-0315-1"},{"key":"9213_CR36","doi-asserted-by":"crossref","unstructured":"Desbrun M, Meyer M, Sche\u00f6der P et al. Implicit fairing of irregular meshes using diffusion and curvature flow. In Proc. SIGGRAPH, Los Angeles, California, August 8\u201313, 1999, pp.317\u2013324.","DOI":"10.1145\/311535.311576"},{"issue":"1","key":"9213_CR37","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1090\/qam\/736511","volume":"42","author":"A Hoger","year":"1984","unstructured":"Hoger A, Carlson D. Determination of the stretch and rotation in the polar decomposition of the deformation gradient. Quart. Appl. Math., 1984, 42(1): 113\u2013117.","journal-title":"Quart. Appl. Math."},{"issue":"2","key":"9213_CR38","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1090\/qam\/856184","volume":"44","author":"K Sawyers","year":"1986","unstructured":"Sawyers K. Comments on the paper \u201cDetermination of the stretch and rotation in the polar decomposition of the deformation gradient\u201d by A. Hoger and D.E. Carlson. Quart. Appl. Math., 1986, 44(2): 309\u2013311.","journal-title":"Quart. Appl. Math."},{"issue":"2","key":"9213_CR39","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1007\/BF02487719","volume":"4","author":"Z Xiong","year":"1988","unstructured":"Xiong Z, Zheng Q. General algorithms for the polar decomposition and strains. Acta Mechanica Sinica, 1988, 4(2): 175\u2013181.","journal-title":"Acta Mechanica Sinica"}],"container-title":["Journal of Computer Science and Technology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11390-009-9213-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11390-009-9213-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11390-009-9213-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,8]],"date-time":"2025-02-08T18:01:55Z","timestamp":1739037715000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11390-009-9213-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,1]]},"references-count":39,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2009,1]]}},"alternative-id":["9213"],"URL":"https:\/\/doi.org\/10.1007\/s11390-009-9213-8","relation":{},"ISSN":["1000-9000","1860-4749"],"issn-type":[{"value":"1000-9000","type":"print"},{"value":"1860-4749","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,1]]}}}