{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,17]],"date-time":"2025-11-17T14:15:00Z","timestamp":1763388900230,"version":"3.41.0"},"reference-count":29,"publisher":"Association for Computing Machinery (ACM)","issue":"3","license":[{"start":{"date-parts":[[2014,5,1]],"date-time":"2014-05-01T00:00:00Z","timestamp":1398902400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"funder":[{"DOI":"10.13039\/100000143","name":"Division of Computing and Communication Foundations","doi-asserted-by":"publisher","award":["CCF-1011944"],"award-info":[{"award-number":["CCF-1011944"]}],"id":[{"id":"10.13039\/100000143","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000147","name":"Division of Civil, Mechanical and Manufacturing Innovation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000147","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002855","name":"Ministry of Science and Technology of the People's Republic of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002855","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100000145","name":"Division of Information and Intelligent Systems","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000145","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":[[2014,5]]},"abstract":"<jats:p>\n            Polycube maps of triangle meshes have proved useful in a wide range of applications, including texture mapping and hexahedral mesh generation. However, constructing either fully automatically or with limited user control a low-distortion polycube from a detailed surface remains challenging in practice. We propose a variational method for deforming an input triangle mesh into a polycube shape through minimization of the \u2113\n            <jats:sub>1<\/jats:sub>\n            -norm of the mesh normals, regularized via an as-rigid-as-possible volumetric distortion energy. Unlike previous work, our approach makes no assumption on the orientation, or on the presence of features in the input model. User-guided control over the resulting polycube map is also offered to increase design flexibility. We demonstrate the robustness, efficiency, and controllability of our method on a variety of examples, and explore applications in hexahedral remeshing and quadrangulation.\n          <\/jats:p>","DOI":"10.1145\/2602141","type":"journal-article","created":{"date-parts":[[2014,6,10]],"date-time":"2014-06-10T12:50:17Z","timestamp":1402404617000},"page":"1-11","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":86,"title":["\u2113\n            <sub>1<\/sub>\n            -Based Construction of Polycube Maps from Complex Shapes"],"prefix":"10.1145","volume":"33","author":[{"given":"Jin","family":"Huang","sequence":"first","affiliation":[{"name":"Zhejiang University, Zhejiang, China"}]},{"given":"Tengfei","family":"Jiang","sequence":"additional","affiliation":[{"name":"Zhejiang University, Zhejiang, China"}]},{"given":"Zeyun","family":"Shi","sequence":"additional","affiliation":[{"name":"Zhejiang University, Zhejiang, China"}]},{"given":"Yiying","family":"Tong","sequence":"additional","affiliation":[{"name":"Michigan State University, East Lansing, MI"}]},{"given":"Hujun","family":"Bao","sequence":"additional","affiliation":[{"name":"Zhejiang University, Zhejiang, China"}]},{"given":"Mathieu","family":"Desbrun","sequence":"additional","affiliation":[{"name":"Caltech, Pasadena, CA"}]}],"member":"320","published-online":{"date-parts":[[2014,6,2]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/344779.344859"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1137\/0806006"},{"key":"e_1_2_2_3_1","volume-title":"Proceedings of the IEEE International Conference and Multimedia Expo (ICME'02)","volume":"1","author":"Aspert N.","unstructured":"N. Aspert , D. Santa-Cruz , and T. Ebrahimi . 2002. Mesh: Measuring errors between surfaces using the hausdorff distance . In Proceedings of the IEEE International Conference and Multimedia Expo (ICME'02) . Vol. 1 . 705--708. N. Aspert, D. Santa-Cruz, and T. Ebrahimi. 2002. Mesh: Measuring errors between surfaces using the hausdorff distance. In Proceedings of the IEEE International Conference and Multimedia Expo (ICME'02). Vol. 1. 705--708."},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/1857907.1857911"},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/1778765.1778799"},{"key":"e_1_2_2_6_1","volume-title":"Proceedings of the Symposium on Geometry Processing.","volume":"256","author":"Botsch M.","unstructured":"M. Botsch , M. Pauly , M. Gross , and I. Kobbelt . 2006. Primo: Coupled prisms for intuitive surface modeling . In Proceedings of the Symposium on Geometry Processing. Vol. 256 . 11--20. M. Botsch, M. Pauly, M. Gross, and I. Kobbelt. 2006. Primo: Coupled prisms for intuitive surface modeling. In Proceedings of the Symposium on Geometry Processing. Vol. 256. 11--20."},{"key":"e_1_2_2_7_1","doi-asserted-by":"publisher","DOI":"10.1145\/2185520.2185606"},{"key":"e_1_2_2_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/1391989.1391995"},{"key":"e_1_2_2_9_1","doi-asserted-by":"publisher","DOI":"10.1137\/0716006"},{"key":"e_1_2_2_10_1","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2012.308"},{"key":"e_1_2_2_11_1","doi-asserted-by":"publisher","DOI":"10.1145\/1778765.1778798"},{"key":"e_1_2_2_12_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2012.03163.x"},{"key":"e_1_2_2_13_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cag.2009.03.024"},{"key":"e_1_2_2_14_1","doi-asserted-by":"publisher","DOI":"10.1145\/2070781.2024177"},{"key":"e_1_2_2_15_1","doi-asserted-by":"publisher","DOI":"10.1145\/1618452.1618474"},{"key":"e_1_2_2_16_1","doi-asserted-by":"publisher","DOI":"10.1145\/1028523.1028541"},{"key":"e_1_2_2_17_1","doi-asserted-by":"publisher","DOI":"10.1145\/2461912.2462005"},{"key":"e_1_2_2_18_1","doi-asserted-by":"publisher","DOI":"10.1145\/2366145.2366196"},{"key":"e_1_2_2_19_1","doi-asserted-by":"publisher","DOI":"10.5555\/1792279.1792281"},{"key":"e_1_2_2_20_1","doi-asserted-by":"publisher","DOI":"10.1080\/10556780601114204"},{"key":"e_1_2_2_21_1","doi-asserted-by":"publisher","DOI":"10.1145\/1778765.1778854"},{"key":"e_1_2_2_22_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2004.10.029"},{"key":"e_1_2_2_23_1","doi-asserted-by":"publisher","DOI":"10.1145\/1531326.1531338"},{"key":"e_1_2_2_24_1","unstructured":"K. Schittkowski. 2008. NLPL1: A fortran implementation of an sqp algorithm for minimizing sums of absolute function values user's guide. www.ai7.uni-bayreuth.de\/NLPL1.pdf.  K. Schittkowski. 2008. NLPL1: A fortran implementation of an sqp algorithm for minimizing sums of absolute function values user's guide. www.ai7.uni-bayreuth.de\/NLPL1.pdf."},{"key":"e_1_2_2_25_1","doi-asserted-by":"publisher","DOI":"10.1007\/s007910050004"},{"key":"e_1_2_2_26_1","doi-asserted-by":"publisher","DOI":"10.1145\/1015706.1015810"},{"key":"e_1_2_2_27_1","doi-asserted-by":"publisher","DOI":"10.1145\/2070781.2024176"},{"key":"e_1_2_2_28_1","doi-asserted-by":"publisher","DOI":"10.1145\/1364901.1364958"},{"key":"e_1_2_2_29_1","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2008.39"}],"container-title":["ACM Transactions on Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2602141","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/2602141","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T07:00:47Z","timestamp":1750230047000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2602141"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,5]]},"references-count":29,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2014,5]]}},"alternative-id":["10.1145\/2602141"],"URL":"https:\/\/doi.org\/10.1145\/2602141","relation":{},"ISSN":["0730-0301","1557-7368"],"issn-type":[{"type":"print","value":"0730-0301"},{"type":"electronic","value":"1557-7368"}],"subject":[],"published":{"date-parts":[[2014,5]]},"assertion":[{"value":"2013-09-01","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2013-12-01","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2014-06-02","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}