{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,24]],"date-time":"2026-04-24T03:51:24Z","timestamp":1777002684271,"version":"3.51.4"},"reference-count":33,"publisher":"Association for Computing Machinery (ACM)","issue":"4","license":[{"start":{"date-parts":[[2017,7,20]],"date-time":"2017-07-20T00:00:00Z","timestamp":1500508800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"funder":[{"DOI":"10.13039\/501100007601","name":"Horizon 2020","doi-asserted-by":"publisher","award":["645599"],"award-info":[{"award-number":["645599"]}],"id":[{"id":"10.13039\/501100007601","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000781","name":"European Research Council","doi-asserted-by":"publisher","award":["715767"],"award-info":[{"award-number":["715767"]}],"id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Graph."],"published-print":{"date-parts":[[2017,8,31]]},"abstract":"<jats:p>We present a computational approach for designing CurveUps, curvy shells that form from an initially flat state. They consist of small rigid tiles that are tightly held together by two pre-stretched elastic sheets attached to them. Our method allows the realization of smooth, doubly curved surfaces that can be fabricated as a flat piece. Once released, the restoring forces of the pre-stretched sheets support the object to take shape in 3D. CurveUps are structurally stable in their target configuration. The design process starts with a target surface. Our method generates a tile layout in 2D and optimizes the distribution, shape, and attachment areas of the tiles to obtain a configuration that is fabricable and in which the curved up state closely matches the target. Our approach is based on an efficient approximate model and a local optimization strategy for an otherwise intractable nonlinear optimization problem. We demonstrate the effectiveness of our approach for a wide range of shapes, all realized as physical prototypes.<\/jats:p>","DOI":"10.1145\/3072959.3073709","type":"journal-article","created":{"date-parts":[[2017,7,21]],"date-time":"2017-07-21T12:24:07Z","timestamp":1500639847000},"page":"1-12","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":95,"title":["CurveUps"],"prefix":"10.1145","volume":"36","author":[{"given":"Ruslan","family":"Guseinov","sequence":"first","affiliation":[{"name":"IST Austria"}]},{"given":"Eder","family":"Miguel","sequence":"additional","affiliation":[{"name":"IST Austria"}]},{"given":"Bernd","family":"Bickel","sequence":"additional","affiliation":[{"name":"IST Austria"}]}],"member":"320","published-online":{"date-parts":[[2017,7,20]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1109\/ICRA.2014.6907045"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/2537852"},{"key":"e_1_2_2_3_1","doi-asserted-by":"crossref","volume-title":"Geometric folding algorithms","author":"Demaine Erik D","DOI":"10.1017\/CBO9780511735172"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/2661229.2661266"},{"key":"e_1_2_2_5_1","volume-title":"Programming curvature using origami tessellations. Nature materials (Jan","author":"Dudte Levi H","year":"2016"},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1145\/1778765.1778782"},{"key":"e_1_2_2_7_1","doi-asserted-by":"publisher","DOI":"10.1039\/c3sm51003d"},{"key":"e_1_2_2_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/2601097.2601106"},{"key":"e_1_2_2_9_1","volume-title":"Biomimetic 4D printing. Nature materials 15, 4 (April","author":"Gladman A Sydney","year":"2016"},{"key":"e_1_2_2_10_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0914069107"},{"key":"e_1_2_2_11_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2012.03037.x"},{"key":"e_1_2_2_12_1","doi-asserted-by":"publisher","DOI":"10.1145\/2185520.2185545"},{"key":"e_1_2_2_13_1","doi-asserted-by":"publisher","DOI":"10.1145\/1360612.1360674"},{"key":"e_1_2_2_14_1","doi-asserted-by":"publisher","DOI":"10.1126\/science.1215309"},{"key":"e_1_2_2_15_1","doi-asserted-by":"publisher","DOI":"10.1145\/2897824.2925944"},{"key":"e_1_2_2_16_1","doi-asserted-by":"publisher","DOI":"10.1115\/1.4031023"},{"key":"e_1_2_2_17_1","doi-asserted-by":"publisher","DOI":"10.1145\/566654.566590"},{"key":"e_1_2_2_18_1","doi-asserted-by":"publisher","DOI":"10.1109\/PG.2007.16"},{"key":"e_1_2_2_19_1","volume-title":"Interactive design of planar curved folding by reflection. Pacific Graphics (short paper)","author":"Mitani Jun","year":"2011"},{"key":"e_1_2_2_20_1","doi-asserted-by":"publisher","DOI":"10.1145\/2984511.2984520"},{"key":"e_1_2_2_21_1","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/36.1.85"},{"key":"e_1_2_2_22_1","doi-asserted-by":"publisher","DOI":"10.1145\/1360612.1360675"},{"key":"e_1_2_2_23_1","volume-title":"Active printed materials for complex self-evolving deformations. Scientific reports 4","author":"Raviv Dan","year":"2014"},{"key":"e_1_2_2_24_1","doi-asserted-by":"publisher","DOI":"10.1063\/1.3700719"},{"key":"e_1_2_2_25_1","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.12051"},{"key":"e_1_2_2_26_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1116564108"},{"key":"e_1_2_2_27_1","doi-asserted-by":"publisher","DOI":"10.1145\/2816795.2818128"},{"key":"e_1_2_2_28_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2012.03064.x"},{"key":"e_1_2_2_29_1","doi-asserted-by":"publisher","DOI":"10.1145\/2601097.2601166"},{"key":"e_1_2_2_30_1","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1990.0055"},{"key":"e_1_2_2_31_1","doi-asserted-by":"publisher","DOI":"10.1145\/2832906"},{"key":"e_1_2_2_32_1","doi-asserted-by":"publisher","DOI":"10.1088\/0964-1726\/23\/9\/094006"},{"key":"e_1_2_2_33_1","doi-asserted-by":"publisher","DOI":"10.1145\/2185520.2185583"}],"container-title":["ACM Transactions on Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3072959.3073709","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3072959.3073709","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T03:30:23Z","timestamp":1750217423000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3072959.3073709"}},"subtitle":["shaping objects from flat plates with tension-actuated curvature"],"short-title":[],"issued":{"date-parts":[[2017,7,20]]},"references-count":33,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2017,8,31]]}},"alternative-id":["10.1145\/3072959.3073709"],"URL":"https:\/\/doi.org\/10.1145\/3072959.3073709","relation":{},"ISSN":["0730-0301","1557-7368"],"issn-type":[{"value":"0730-0301","type":"print"},{"value":"1557-7368","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,7,20]]},"assertion":[{"value":"2017-07-20","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}