{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T07:04:13Z","timestamp":1770534253905,"version":"3.49.0"},"reference-count":41,"publisher":"Association for Computing Machinery (ACM)","issue":"3","license":[{"start":{"date-parts":[[2006,7,1]],"date-time":"2006-07-01T00:00:00Z","timestamp":1151712000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Graph."],"published-print":{"date-parts":[[2006,7]]},"abstract":"<jats:p>\n            We present an approach to define shape deformations by constructing and interactively modifying\n            <jats:italic>C<\/jats:italic>\n            <jats:sup>1<\/jats:sup>\n            continuous time-dependent divergence-free vector fields. The deformation is obtained by a path line integration of the mesh vertices. This way, the deformation is volume-preserving, free of (local and global) self-intersections, feature preserving, smoothness preserving, and local. Different modeling metaphors support the approach which is able to modify the vector field on-the-fly according to the user input. The approach works at interactive frame rates for moderate mesh sizes, and the numerical integration preserves the volume with a high accuracy.\n          <\/jats:p>","DOI":"10.1145\/1141911.1142002","type":"journal-article","created":{"date-parts":[[2006,7,25]],"date-time":"2006-07-25T14:14:26Z","timestamp":1153836866000},"page":"1118-1125","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":119,"title":["Vector field based shape deformations"],"prefix":"10.1145","volume":"25","author":[{"given":"Wolfram","family":"von Funck","sequence":"first","affiliation":[{"name":"MPI Informatik"}]},{"given":"Holger","family":"Theisel","sequence":"additional","affiliation":[{"name":"MPI Informatik"}]},{"given":"Hans-Peter","family":"Seidel","sequence":"additional","affiliation":[{"name":"MPI Informatik"}]}],"member":"320","published-online":{"date-parts":[[2006,7]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00371-002-0180-0"},{"key":"e_1_2_2_2_1","unstructured":"Alliez P. Ucelli G. Gotsman C. and Attene M. 2005. Recent Advances in Remeshing of Surfaces. Springer.  Alliez P. Ucelli G. Gotsman C. and Attene M. 2005. Recent Advances in Remeshing of Surfaces. Springer."},{"key":"e_1_2_2_3_1","volume-title":"12th Pacific Conference on (PG'04)","author":"Angelidis A.","unstructured":"Angelidis , A. , Cani , M.-P. , Wyvill , G. , and King , S . 2004. Swirling-sweepers: Constant-volume modeling. In Computer Graphics and Applications , 12th Pacific Conference on (PG'04) , 10--15. Angelidis, A., Cani, M.-P., Wyvill, G., and King, S. 2004. Swirling-sweepers: Constant-volume modeling. In Computer Graphics and Applications, 12th Pacific Conference on (PG'04), 10--15."},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.5555\/998687.1007036"},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0097-8493(97)00040-X"},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1145\/800031.808573"},{"key":"e_1_2_2_7_1","volume-title":"SGP '03: Proceedings of the 2003 Eurographics\/ACM SIGGRAPH symposium on Geometry processing, Eurographics Association, Aire-la-Ville","author":"Bendels G. H.","unstructured":"Bendels , G. H. , and Klein , R . 2003. Mesh forging: editing of 3d-meshes using implicitly defined occluders . In SGP '03: Proceedings of the 2003 Eurographics\/ACM SIGGRAPH symposium on Geometry processing, Eurographics Association, Aire-la-Ville , Switzerland, Switzerland, 207--217. Bendels, G. H., and Klein, R. 2003. Mesh forging: editing of 3d-meshes using implicitly defined occluders. In SGP '03: Proceedings of the 2003 Eurographics\/ACM SIGGRAPH symposium on Geometry processing, Eurographics Association, Aire-la-Ville, Switzerland, Switzerland, 207--217."},{"key":"e_1_2_2_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.gmod.2004.01.003"},{"key":"e_1_2_2_9_1","doi-asserted-by":"publisher","DOI":"10.1111\/1467-8659.00696"},{"key":"e_1_2_2_10_1","doi-asserted-by":"publisher","DOI":"10.1145\/1015706.1015772"},{"key":"e_1_2_2_11_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2005.00886.x"},{"key":"e_1_2_2_12_1","unstructured":"ColDet. Free 3D collision detection library. http:\/\/photoneffect.com\/coldet.  ColDet. Free 3D collision detection library. http:\/\/photoneffect.com\/coldet."},{"key":"e_1_2_2_13_1","doi-asserted-by":"publisher","DOI":"10.1145\/97879.97900"},{"key":"e_1_2_2_14_1","volume-title":"Introduction to vector analysis. Allyn and Bacon","author":"Davis H.","unstructured":"Davis , H. 1967. Introduction to vector analysis. Allyn and Bacon , Inc., Boston . Davis, H. 1967. Introduction to vector analysis. Allyn and Bacon, Inc., Boston."},{"key":"e_1_2_2_15_1","doi-asserted-by":"publisher","DOI":"10.1145\/218380.218456"},{"key":"e_1_2_2_16_1","volume-title":"Curves and Surfaces for CAGD","author":"Farin G.","unstructured":"Farin , G. 2002. Curves and Surfaces for CAGD , 5 th ed. Morgan Kaufmann , San Francisco . Farin, G. 2002. Curves and Surfaces for CAGD, 5th ed. Morgan Kaufmann, San Francisco.","edition":"5"},{"key":"e_1_2_2_17_1","doi-asserted-by":"publisher","DOI":"10.1145\/383259.383261"},{"key":"e_1_2_2_18_1","volume-title":"Eurographics UK '99","author":"Gain J. E.","unstructured":"Gain , J. E. , and Dodgson , N. A . 1999. Adaptive refinement and decimation under free-form deformation . Eurographics UK '99 . Gain, J. E., and Dodgson, N. A. 1999. Adaptive refinement and decimation under free-form deformation. Eurographics UK '99."},{"key":"e_1_2_2_19_1","doi-asserted-by":"publisher","DOI":"10.1109\/2945.965344"},{"key":"e_1_2_2_20_1","doi-asserted-by":"publisher","DOI":"10.1145\/311535.311577"},{"key":"e_1_2_2_21_1","doi-asserted-by":"publisher","DOI":"10.1145\/304012.304036"},{"key":"e_1_2_2_22_1","doi-asserted-by":"publisher","DOI":"10.1145\/133994.134036"},{"key":"e_1_2_2_23_1","doi-asserted-by":"publisher","DOI":"10.1145\/280814.280831"},{"key":"e_1_2_2_24_1","doi-asserted-by":"publisher","DOI":"10.1109\/SMI.2004.30"},{"key":"e_1_2_2_25_1","doi-asserted-by":"publisher","DOI":"10.1145\/1073204.1073217"},{"key":"e_1_2_2_26_1","doi-asserted-by":"publisher","DOI":"10.1145\/882262.882323"},{"key":"e_1_2_2_27_1","doi-asserted-by":"publisher","DOI":"10.1145\/237170.237247"},{"key":"e_1_2_2_28_1","volume-title":"CGI '01: Proceedings of the International Conference on Computer Graphics, IEEE Computer Society","author":"Mason D.","unstructured":"Mason , D. , and Wyvill , G . 2001. Blendeforming: Ray traceable localized foldover-free space deformation . In CGI '01: Proceedings of the International Conference on Computer Graphics, IEEE Computer Society , Washington, DC, USA, 183. Mason, D., and Wyvill, G. 2001. Blendeforming: Ray traceable localized foldover-free space deformation. In CGI '01: Proceedings of the International Conference on Computer Graphics, IEEE Computer Society, Washington, DC, USA, 183."},{"key":"e_1_2_2_29_1","unstructured":"Nielson G. Hagen H. and M\u00fcller H. 1997 Scientific Visualization. IEEE Computer Society.  Nielson G. Hagen H. and M\u00fcller H. 1997 Scientific Visualization. IEEE Computer Society."},{"key":"e_1_2_2_30_1","doi-asserted-by":"publisher","DOI":"10.1145\/882262.882319"},{"key":"e_1_2_2_31_1","doi-asserted-by":"publisher","DOI":"10.1109\/2945.489383"},{"key":"e_1_2_2_32_1","doi-asserted-by":"publisher","DOI":"10.1145\/15922.15903"},{"key":"e_1_2_2_33_1","doi-asserted-by":"publisher","DOI":"10.1145\/280814.280946"},{"key":"e_1_2_2_34_1","doi-asserted-by":"publisher","DOI":"10.1145\/1057432.1057456"},{"key":"e_1_2_2_35_1","doi-asserted-by":"publisher","DOI":"10.1145\/218380.218473"},{"key":"e_1_2_2_36_1","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2005.68"},{"key":"e_1_2_2_37_1","doi-asserted-by":"publisher","DOI":"10.1145\/133994.134033"},{"key":"e_1_2_2_38_1","doi-asserted-by":"publisher","DOI":"10.1145\/1015706.1015774"},{"key":"e_1_2_2_39_1","volume-title":"-P","author":"Zayer R.","year":"2005","unstructured":"Zayer , R. , R\u00f6ssl , C. , Karni , Z. , and Seidel , H . -P . 2005 . Harmonic guidance for surface deformation. In Computer Graphics Forum, Proceedings of Eurographics 2005, Blackwell , Dublin, Ireland, vol. 24 , Eurographics, 601--609. Zayer, R., R\u00f6ssl, C., Karni, Z., and Seidel, H.-P. 2005. Harmonic guidance for surface deformation. In Computer Graphics Forum, Proceedings of Eurographics 2005, Blackwell, Dublin, Ireland, vol. 24, Eurographics, 601--609."},{"key":"e_1_2_2_40_1","doi-asserted-by":"publisher","DOI":"10.1145\/1073204.1073219"},{"key":"e_1_2_2_41_1","doi-asserted-by":"publisher","DOI":"10.1145\/258734.258863"}],"container-title":["ACM Transactions on Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1141911.1142002","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1141911.1142002","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T15:06:11Z","timestamp":1750259171000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1141911.1142002"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,7]]},"references-count":41,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2006,7]]}},"alternative-id":["10.1145\/1141911.1142002"],"URL":"https:\/\/doi.org\/10.1145\/1141911.1142002","relation":{},"ISSN":["0730-0301","1557-7368"],"issn-type":[{"value":"0730-0301","type":"print"},{"value":"1557-7368","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,7]]},"assertion":[{"value":"2006-07-01","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}