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Graph."],"published-print":{"date-parts":[[2014,5]]},"abstract":"<jats:p>In this article, we investigate the use of quadratic finite elements for graphical animation of deformable bodies. We consider both integrating quadratic elements with conventional linear elements to achieve a computationally efficient adaptive-degree simulation framework as well as wholly quadratic elements for the simulation of nonlinear rest shapes. In both cases, we adopt the B\u00e9zier basis functions and employ a co-rotational linear strain formulation. As with linear elements, the co-rotational formulation allows us to precompute per-element stiffness matrices, resulting in substantial computational savings. We present several examples that demonstrate the advantages of quadratic elements in general and our adaptive-degree system in particular. Furthermore, we demonstrate, for the first time in computer graphics, animations of volumetric deformable bodies with nonlinear rest shapes.<\/jats:p>","DOI":"10.1145\/2567943","type":"journal-article","created":{"date-parts":[[2014,6,10]],"date-time":"2014-06-10T12:50:17Z","timestamp":1402404617000},"page":"1-10","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":38,"title":["Animation of Deformable Bodies with Quadratic B\u00e9zier Finite Elements"],"prefix":"10.1145","volume":"33","author":[{"given":"Adam W.","family":"Bargteil","sequence":"first","affiliation":[{"name":"University of Utah, UT"}]},{"given":"Elaine","family":"Cohen","sequence":"additional","affiliation":[{"name":"University of Utah, UT"}]}],"member":"320","published-online":{"date-parts":[[2014,6,2]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7825(90)90011-A"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1137\/0718033"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/280814.280821"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/1073204.1073300"},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/1531326.1531395"},{"key":"e_1_2_2_6_1","doi-asserted-by":"crossref","unstructured":"J. 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