{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,18]],"date-time":"2025-11-18T12:15:08Z","timestamp":1763468108296,"version":"3.41.0"},"reference-count":37,"publisher":"Association for Computing Machinery (ACM)","issue":"4","license":[{"start":{"date-parts":[[2012,7,1]],"date-time":"2012-07-01T00:00:00Z","timestamp":1341100800000},"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":[[2012,8,5]]},"abstract":"<jats:p>\n            Creating motions of objects or characters that are physically plausible and follow an animator's intent is a key task in computer animation. The\n            <jats:italic>spacetime constraints<\/jats:italic>\n            paradigm is a valuable approach to this problem, but it suffers from high computational costs. Based on spacetime constraints, we propose a framework for controlling the motion of deformable objects that offers interactive response times. This is achieved by a model reduction of the underlying variational problem, which combines dimension reduction, multipoint linearization, and decoupling of ODEs. After a preprocess, the cost for creating or editing a motion is reduced to solving a number of one-dimensional spacetime problems, whose solutions are the\n            <jats:italic>wiggly splines<\/jats:italic>\n            introduced by Kass and Anderson [2008]. We achieve interactive response times through a new fast and robust numerical scheme for solving the one-dimensional problems that is based on a closed-form representation of the wiggly splines.\n          <\/jats:p>","DOI":"10.1145\/2185520.2185567","type":"journal-article","created":{"date-parts":[[2012,8,6]],"date-time":"2012-08-06T18:11:37Z","timestamp":1344276697000},"page":"1-8","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":33,"title":["Interactive spacetime control of deformable objects"],"prefix":"10.1145","volume":"31","author":[{"given":"Klaus","family":"Hildebrandt","sequence":"first","affiliation":[{"name":"Freie Universit\u00e4t Berlin"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christian","family":"Schulz","sequence":"additional","affiliation":[{"name":"Freie Universit\u00e4t Berlin"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christoph","family":"von Tycowicz","sequence":"additional","affiliation":[{"name":"Freie Universit\u00e4t Berlin"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Konrad","family":"Polthier","sequence":"additional","affiliation":[{"name":"Freie Universit\u00e4t Berlin"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2012,7]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/280814.280821"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/1073204.1073300"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/1531326.1531359"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1109\/38.586016"},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/1276377.1276439"},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1145\/1276377.1276387"},{"key":"e_1_2_2_7_1","doi-asserted-by":"publisher","DOI":"10.1145\/1778765.1778775"},{"key":"e_1_2_2_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/133994.134083"},{"key":"e_1_2_2_9_1","doi-asserted-by":"publisher","DOI":"10.1145\/882262.882286"},{"key":"e_1_2_2_10_1","doi-asserted-by":"publisher","DOI":"10.1515\/crll.1829.4.232"},{"key":"e_1_2_2_11_1","doi-asserted-by":"publisher","DOI":"10.1145\/253284.253321"},{"key":"e_1_2_2_12_1","doi-asserted-by":"publisher","DOI":"10.1145\/229473.229474"},{"volume-title":"ACM SIGGRAPH\/Eurographics Symposium on Computer Animation, 62--67","author":"Grinspun E.","key":"e_1_2_2_13_1"},{"key":"e_1_2_2_14_1","doi-asserted-by":"publisher","DOI":"10.1145\/1276377.1276512"},{"key":"e_1_2_2_15_1","doi-asserted-by":"publisher","DOI":"10.1145\/2019627.2019638"},{"key":"e_1_2_2_16_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2012.01.001"},{"key":"e_1_2_2_17_1","doi-asserted-by":"publisher","DOI":"10.1145\/1141911.1142003"},{"key":"e_1_2_2_18_1","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7825(85)90125-2"},{"key":"e_1_2_2_19_1","doi-asserted-by":"publisher","DOI":"10.1145\/1360612.1360627"},{"key":"e_1_2_2_20_1","doi-asserted-by":"publisher","DOI":"10.1145\/1276377.1276457"},{"key":"e_1_2_2_21_1","doi-asserted-by":"publisher","DOI":"10.1145\/1618452.1618469"},{"key":"e_1_2_2_22_1","doi-asserted-by":"publisher","DOI":"10.1002\/nme.167"},{"key":"e_1_2_2_23_1","doi-asserted-by":"publisher","DOI":"10.1145\/1015706.1015744"},{"key":"e_1_2_2_24_1","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7825(76)90008-6"},{"key":"e_1_2_2_25_1","doi-asserted-by":"publisher","DOI":"10.1145\/74334.74355"},{"key":"e_1_2_2_26_1","doi-asserted-by":"publisher","DOI":"10.1145\/944020.944025"},{"key":"e_1_2_2_27_1","unstructured":"Ritchie K. 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