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Graph."],"published-print":{"date-parts":[[2013,11]]},"abstract":"<jats:p>\n            Many efficient computational methods for physical simulation are based on model reduction. We propose new model reduction techniques for the\n            <jats:italic>approximation of reduced forces<\/jats:italic>\n            and for the\n            <jats:italic>construction of reduced shape spaces of deformable objects<\/jats:italic>\n            that accelerate the construction of a reduced dynamical system, increase the accuracy of the approximation, and simplify the implementation of model reduction. Based on the techniques, we introduce schemes for real-time simulation of deformable objects and interactive deformation-based editing of triangle or tet meshes. We demonstrate the effectiveness of the new techniques in different experiments with elastic solids and shells and compare them to alternative approaches.\n          <\/jats:p>","DOI":"10.1145\/2508363.2508392","type":"journal-article","created":{"date-parts":[[2013,11,6]],"date-time":"2013-11-06T14:09:19Z","timestamp":1383746959000},"page":"1-10","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":55,"title":["An efficient construction of reduced deformable objects"],"prefix":"10.1145","volume":"32","author":[{"given":"Christoph","family":"von Tycowicz","sequence":"first","affiliation":[{"name":"Freie Universit\u00e4t Berlin"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christian","family":"Schulz","sequence":"additional","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Informatik"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hans-Peter","family":"Seidel","sequence":"additional","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Informatik"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Klaus","family":"Hildebrandt","sequence":"additional","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Informatik"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2013,11]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/1409060.1409118"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/1073204.1073300"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/1409060.1409116"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/1531326.1531359"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/2185520.2185566"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1145\/1531326.1531340"},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1109\/JSTSP.2010.2042411"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2007.1054"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2007.01056.x"},{"key":"e_1_2_1_10_1","doi-asserted-by":"crossref","unstructured":"Botsch M. Kobbelt L. Pauly M. Alliez P. and Levy B. 2010. Polygon Mesh Processing. AK Peters.  Botsch M. Kobbelt L. Pauly M. Alliez P. and Levy B. 2010. Polygon Mesh Processing . AK Peters.","DOI":"10.1201\/b10688"},{"key":"e_1_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-128X(199709\/10)11:5<393::AID-CEM483>3.0.CO;2-L"},{"key":"e_1_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1117\/12.894386"},{"key":"e_1_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1145\/1618452.1618465"},{"key":"e_1_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2005.13"},{"key":"e_1_2_1_15_1","unstructured":"Dennis J. and Schnabel R. 1987. Numerical Methods for Unconstrained Optimization and Nonlinear Equations. Classics in Applied Mathematics. SIAM.   Dennis J. and Schnabel R. 1987. Numerical Methods for Unconstrained Optimization and Nonlinear Equations . Classics in Applied Mathematics. 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