{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T18:16:12Z","timestamp":1762539372079,"version":"build-2065373602"},"reference-count":57,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"12","license":[{"start":{"date-parts":[[2025,12,1]],"date-time":"2025-12-01T00:00:00Z","timestamp":1764547200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2025,12,1]],"date-time":"2025-12-01T00:00:00Z","timestamp":1764547200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2025,12,1]],"date-time":"2025-12-01T00:00:00Z","timestamp":1764547200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62272429","62025207"],"award-info":[{"award-number":["62272429","62025207"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Visual. Comput. Graphics"],"published-print":{"date-parts":[[2025,12]]},"DOI":"10.1109\/tvcg.2025.3603025","type":"journal-article","created":{"date-parts":[[2025,8,26]],"date-time":"2025-08-26T19:21:29Z","timestamp":1756236089000},"page":"10533-10544","source":"Crossref","is-referenced-by-count":0,"title":["Robust and Efficient Preservation of High-Order Continuous Geometric Validity"],"prefix":"10.1109","volume":"31","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-9040-0210","authenticated-orcid":false,"given":"Wei","family":"Du","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4372-1740","authenticated-orcid":false,"given":"Shibo","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0009-0073-7399","authenticated-orcid":false,"given":"Jia-Peng","family":"Guo","sequence":"additional","affiliation":[{"name":"School of Artificial Intelligence and Data Science, University of Science and Technology of China, Hefei, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4352-1431","authenticated-orcid":false,"given":"Ligang","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8479-0107","authenticated-orcid":false,"given":"Xiao-Ming","family":"Fu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"doi-asserted-by":"publisher","key":"ref1","DOI":"10.1145\/3508372"},{"doi-asserted-by":"publisher","key":"ref2","DOI":"10.1145\/3588432.3591488"},{"doi-asserted-by":"publisher","key":"ref3","DOI":"10.1145\/3658207"},{"doi-asserted-by":"publisher","key":"ref4","DOI":"10.1145\/3386569.3392372"},{"doi-asserted-by":"publisher","key":"ref5","DOI":"10.1016\/j.cad.2021.103080"},{"doi-asserted-by":"publisher","key":"ref6","DOI":"10.1111\/cgf.14605"},{"doi-asserted-by":"publisher","key":"ref7","DOI":"10.1111\/cgf.14604"},{"doi-asserted-by":"publisher","key":"ref8","DOI":"10.1145\/3618332"},{"doi-asserted-by":"publisher","key":"ref9","DOI":"10.1016\/j.cagd.2024.102302"},{"key":"ref10","article-title":"Introduction to the finite element method","author":"de Navarra","year":"2008","journal-title":"Finite Element Method Solids Struct."},{"doi-asserted-by":"publisher","key":"ref11","DOI":"10.1016\/j.cam.2021.113900"},{"doi-asserted-by":"publisher","key":"ref12","DOI":"10.1002\/fld.3965"},{"doi-asserted-by":"publisher","key":"ref13","DOI":"10.1145\/3554920"},{"doi-asserted-by":"publisher","key":"ref14","DOI":"10.1137\/18m1167206"},{"doi-asserted-by":"publisher","key":"ref15","DOI":"10.1016\/j.cagd.2024.102301"},{"doi-asserted-by":"publisher","key":"ref16","DOI":"10.1145\/3745763"},{"doi-asserted-by":"publisher","key":"ref17","DOI":"10.1007\/s00366-012-0305-7"},{"year":"2019","author":"Schneider","article-title":"PolyFEM","key":"ref18"},{"doi-asserted-by":"publisher","key":"ref19","DOI":"10.1145\/3306346.3323011"},{"key":"ref20","first-page":"407","article-title":"Curvilinear mesh generation in 3D","volume-title":"Proc. 8th Int. Meshing Roundtable","author":"Dey"},{"doi-asserted-by":"publisher","key":"ref21","DOI":"10.1016\/0167-8396(86)90016-6"},{"doi-asserted-by":"publisher","key":"ref22","DOI":"10.1111\/1467-8659.00275"},{"doi-asserted-by":"publisher","key":"ref23","DOI":"10.1145\/1364901.1364915"},{"doi-asserted-by":"publisher","key":"ref24","DOI":"10.1111\/j.1467-8659.2012.03227.x"},{"doi-asserted-by":"publisher","key":"ref25","DOI":"10.1016\/j.cag.2015.06.010"},{"doi-asserted-by":"publisher","key":"ref26","DOI":"10.1145\/2567943"},{"doi-asserted-by":"publisher","key":"ref27","DOI":"10.1145\/3414685.3417853"},{"doi-asserted-by":"publisher","key":"ref28","DOI":"10.1002\/(SICI)1099-0887(199611)12:11<755::AID-CNM15>3.0.CO;2-S"},{"doi-asserted-by":"publisher","key":"ref29","DOI":"10.1007\/978-3-642-24734-7_20"},{"doi-asserted-by":"publisher","key":"ref30","DOI":"10.1007\/BF02811901"},{"doi-asserted-by":"publisher","key":"ref31","DOI":"10.1145\/3386569.3392425"},{"doi-asserted-by":"publisher","key":"ref32","DOI":"10.1145\/2766947"},{"doi-asserted-by":"publisher","key":"ref33","DOI":"10.1007\/PL00009321"},{"doi-asserted-by":"publisher","key":"ref34","DOI":"10.1016\/j.proeng.2017.09.809"},{"year":"2005","author":"Zhang","article-title":"Subtetrahedral test for the positive Jacobian of hexahedral elements","key":"ref35"},{"doi-asserted-by":"publisher","key":"ref36","DOI":"10.1016\/S0010-4485(00)00120-2"},{"doi-asserted-by":"publisher","key":"ref37","DOI":"10.1007\/s00366-014-0370-1"},{"doi-asserted-by":"publisher","key":"ref38","DOI":"10.1115\/1.4005694"},{"doi-asserted-by":"publisher","key":"ref39","DOI":"10.1145\/3313797"},{"doi-asserted-by":"publisher","key":"ref40","DOI":"10.1016\/j.jcp.2012.08.051"},{"doi-asserted-by":"publisher","key":"ref41","DOI":"10.1016\/j.cad.2018.03.001"},{"doi-asserted-by":"publisher","key":"ref42","DOI":"10.1145\/2185520.2185592"},{"doi-asserted-by":"publisher","key":"ref43","DOI":"10.1145\/3528223.3530069"},{"doi-asserted-by":"publisher","key":"ref44","DOI":"10.1007\/978-3-7091-6874-5_13"},{"doi-asserted-by":"publisher","key":"ref45","DOI":"10.1145\/2133806.2133828"},{"doi-asserted-by":"publisher","key":"ref46","DOI":"10.1145\/3543865"},{"volume-title":"Curves and Surfaces for Computer-Aided Geometric Design - A Practical Guide","year":"1997","author":"Farin","key":"ref47"},{"doi-asserted-by":"publisher","key":"ref48","DOI":"10.1016\/j.cad.2020.102862"},{"doi-asserted-by":"publisher","key":"ref49","DOI":"10.1109\/TVCG.2023.3255207"},{"doi-asserted-by":"publisher","key":"ref50","DOI":"10.1109\/ARITH.1999.762834"},{"doi-asserted-by":"publisher","key":"ref51","DOI":"10.1137\/1.9781611970906"},{"doi-asserted-by":"publisher","key":"ref52","DOI":"10.1017\/S0962492922000101"},{"year":"2010","author":"Guennebaud","article-title":"Eigen v3","key":"ref53"},{"volume-title":"CGAL, Computational Geometry Algorithms Library","year":"2024","key":"ref54"},{"year":"2020","author":"Ferguson","article-title":"IPC toolkit","key":"ref55"},{"doi-asserted-by":"publisher","key":"ref56","DOI":"10.1145\/3592104"},{"doi-asserted-by":"publisher","key":"ref57","DOI":"10.1145\/3610548.3618157"}],"container-title":["IEEE Transactions on Visualization and Computer Graphics"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/2945\/11231102\/11141731.pdf?arnumber=11141731","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T18:10:23Z","timestamp":1762539023000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/11141731\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,12]]},"references-count":57,"journal-issue":{"issue":"12"},"URL":"https:\/\/doi.org\/10.1109\/tvcg.2025.3603025","relation":{},"ISSN":["1077-2626","1941-0506","2160-9306"],"issn-type":[{"type":"print","value":"1077-2626"},{"type":"electronic","value":"1941-0506"},{"type":"electronic","value":"2160-9306"}],"subject":[],"published":{"date-parts":[[2025,12]]}}}