{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T12:51:27Z","timestamp":1766062287950,"version":"3.48.0"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2025,9,4]],"date-time":"2025-09-04T00:00:00Z","timestamp":1756944000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,9,4]],"date-time":"2025-09-04T00:00:00Z","timestamp":1756944000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["2022YFB2503505"],"award-info":[{"award-number":["2022YFB2503505"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Engineering with Computers"],"published-print":{"date-parts":[[2025,12]]},"DOI":"10.1007\/s00366-025-02196-y","type":"journal-article","created":{"date-parts":[[2025,9,4]],"date-time":"2025-09-04T02:45:03Z","timestamp":1756953903000},"page":"4255-4275","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["improved Q-Morph algorithm for quad-dominant hybrid mesh generation with advanced front propagation and topology optimization"],"prefix":"10.1007","volume":"41","author":[{"given":"Haidong","family":"Wang","sequence":"first","affiliation":[]},{"given":"Siqi","family":"Yin","sequence":"additional","affiliation":[]},{"given":"Hanghang","family":"Yan","sequence":"additional","affiliation":[]},{"given":"Feiqi","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Xianzhong","family":"Yu","sequence":"additional","affiliation":[]},{"given":"Senhai","family":"Liu","sequence":"additional","affiliation":[]},{"given":"Xiangyang","family":"Cui","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,9,4]]},"reference":[{"key":"2196_CR1","doi-asserted-by":"publisher","unstructured":"Bommes D, Zimmer H, Kobbelt L (2009) Mixed-integer quadrangulation. In: ACM Conferences. Association for Computing Machinery, pp. pp. 1\u201310. https:\/\/doi.org\/10.1145\/1576246.1531383","DOI":"10.1145\/1576246.1531383"},{"issue":"3","key":"2196_CR2","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1007\/s00366-014-0387-5","volume":"31","author":"N Kowalski","year":"2015","unstructured":"Kowalski N, Ledoux F, Frey P (2015) Automatic domain partitioning for quadrilateral meshing with line constraints. Eng Comput 31(3):405\u2013421. https:\/\/doi.org\/10.1007\/s00366-014-0387-5","journal-title":"Eng Comput"},{"issue":"6","key":"2196_CR3","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1111\/cgf.12014","volume":"32","author":"D Bommes","year":"2013","unstructured":"Bommes D, L\u00e9vy B, Pietroni N, Puppo E, Silva C, Tarini M, Zorin D (2013) Quad-mesh generation and processing: a survey. Comput Graphics Forum 32(6):51\u201376. https:\/\/doi.org\/10.1111\/cgf.12014","journal-title":"Comput Graphics Forum"},{"issue":"4","key":"2196_CR4","doi-asserted-by":"publisher","first-page":"849","DOI":"10.1002\/nme.1620320411","volume":"32","author":"JZ Zhu","year":"1991","unstructured":"Zhu JZ, Zienkiewicz OC, Hinton E, Wu J (1991) A new approach to the development of automatic quadrilateral mesh generation. Int J Numer Methods Eng 32(4):849\u2013866. https:\/\/doi.org\/10.1002\/nme.1620320411","journal-title":"Int J Numer Methods Eng"},{"issue":"4","key":"2196_CR5","doi-asserted-by":"publisher","first-page":"811","DOI":"10.1002\/nme.1620320410","volume":"32","author":"TD Blacker","year":"1991","unstructured":"Blacker TD, Stephenson MB (1991) Paving: a new approach to automated quadrilateral mesh generation. Int J Numer Methods Eng 32(4):811\u2013847. https:\/\/doi.org\/10.1002\/nme.1620320410","journal-title":"Int J Numer Methods Eng"},{"key":"2196_CR6","doi-asserted-by":"publisher","unstructured":"Cass RJ, Benzley SE, Meyers RJ, Blacker TD (1996) Generalized 3-D paving: an automated quadrilateral surface mesh generation algorithm. Int J Numer Methods Eng 39(9):1475\u20131489. https:\/\/doi.org\/10.1002\/(SICI)1097-0207(19960515)39:9%3c1475::AID-NME913%3e3.0.CO;2-W","DOI":"10.1002\/(SICI)1097-0207(19960515)39:9%3c1475::AID-NME913%3e3.0.CO;2-W"},{"key":"2196_CR7","doi-asserted-by":"crossref","unstructured":"Cg A (1991) 2D finite element mesh generation by medial axis subdivision. Adv Eng Software 13: 313-324. https:\/\/cir.nii.ac.jp\/crid\/1573105976520120576","DOI":"10.1016\/0961-3552(91)90035-3"},{"key":"2196_CR8","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2020.01.003","author":"Z Xiao","year":"2020","unstructured":"Xiao Z, He S, Xu G, Chen J, Wu Q (2020) A boundary element-based automatic domain partitioning approach for semi-structured quad mesh generation. Eng Anal Boundary Elem. https:\/\/doi.org\/10.1016\/j.enganabound.2020.01.003","journal-title":"Eng Anal Boundary Elem"},{"key":"2196_CR9","doi-asserted-by":"crossref","unstructured":"Viertel R, Osting B (2019) An approach to quad meshing based on harmonic cross-valued maps and the Ginzburg\u2013Landau theory. SIAM J Sci Comput. https:\/\/epubs.siam.org\/doi\/10.1137\/17M1142703","DOI":"10.1137\/17M1142703"},{"issue":"5","key":"2196_CR10","doi-asserted-by":"publisher","first-page":"494","DOI":"10.1002\/nme.4458","volume":"94","author":"J-F Remacle","year":"2013","unstructured":"Remacle J-F, Henrotte F, Carrier-Baudouin T, B\u00e9chet E, Marchandise E, Geuzaine C, Mouton T (2013) A frontal Delaunay quad mesh generator using the L $$\\infty $$ norm. Int J Numer Methods Eng 94(5):494\u2013512. https:\/\/doi.org\/10.1002\/nme.4458","journal-title":"Int J Numer Methods Eng"},{"issue":"4","key":"2196_CR11","doi-asserted-by":"publisher","first-page":"621","DOI":"10.1109\/TVCG.2009.96","volume":"16","author":"N Pietroni","year":"2009","unstructured":"Pietroni N, Tarini M, Cignoni P (2009) Almost isometric mesh parameterization through abstract domains. IEEE Trans Visual Comput Graph 16(4):621\u2013635. https:\/\/doi.org\/10.1109\/TVCG.2009.96","journal-title":"IEEE Trans Visual Comput Graph"},{"issue":"3","key":"2196_CR12","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1111\/j.1467-8659.2007.01060.x","volume":"26","author":"F K\u00e4lberer","year":"2007","unstructured":"K\u00e4lberer F, Nieser M, Polthier K (2007) QuadCover\u2014surface parameterization using branched coverings. Comput Graphics Forum 26(3):375\u2013384. https:\/\/doi.org\/10.1111\/j.1467-8659.2007.01060.x","journal-title":"Comput Graphics Forum"},{"key":"2196_CR13","doi-asserted-by":"crossref","unstructured":"Liu C, Yu W, Chen Z, Li X (2017) Distributed poly-square mapping for large-scale semi-structured quad mesh generation. Comput Aided Des. https:\/\/www.semanticscholar.org\/paper\/Distributed-poly-square-mapping-for-large-scale-Liu-Yu\/b288aaf6acc4cfbffd6838cb2f4541d2e465e164","DOI":"10.1016\/j.cad.2017.05.005"},{"issue":"3","key":"2196_CR14","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1016\/0045-7949(89)90389-1","volume":"31","author":"SH Lo","year":"1989","unstructured":"Lo SH (1989) Generating quadrilateral elements on plane and over curved surfaces. Comput Struct 31(3):421\u2013426. https:\/\/doi.org\/10.1016\/0045-7949(89)90389-1","journal-title":"Comput Struct"},{"issue":"1","key":"2196_CR15","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1002\/nme.1620310105","volume":"31","author":"BP Johnston","year":"1991","unstructured":"Johnston BP, Sullivan JM, Kwasnik A (1991) Automatic conversion of triangular finite element meshes to quadrilateral elements. Int J Numer Methods Eng 31(1):67\u201384. https:\/\/doi.org\/10.1002\/nme.1620310105","journal-title":"Int J Numer Methods Eng"},{"issue":"5","key":"2196_CR16","doi-asserted-by":"publisher","first-page":"847","DOI":"10.1016\/0045-7949(94)90070-1","volume":"52","author":"CK Lee","year":"1994","unstructured":"Lee CK, Lo SH (1994) A new scheme for the generation of a graded quadrilateral mesh. Comput Struct 52(5):847\u2013857. https:\/\/doi.org\/10.1016\/0045-7949(94)90070-1","journal-title":"Comput Struct"},{"key":"2196_CR17","doi-asserted-by":"publisher","unstructured":"Owen SJ, Staten ML, Canann SA, Saigal S (1999) Q-Morph: an indirect approach to advancing front quad meshing. Int J Numer Methods Eng 44(9):1317\u20131340. https:\/\/doi.org\/10.1002\/(SICI)1097-0207(19990330)44:9%3c1317::AID-NME532%3e3.0.CO;2-N","DOI":"10.1002\/(SICI)1097-0207(19990330)44:9%3c1317::AID-NME532%3e3.0.CO;2-N"},{"key":"2196_CR18","doi-asserted-by":"publisher","first-page":"338","DOI":"10.1016\/j.proeng.2014.10.395","volume":"82","author":"B Pellenard","year":"2014","unstructured":"Pellenard B, Orbay G, Chen J, Sohan S, Kwok W, Tristano JR (2014) QMCF: QMorph cross field-driven quad-dominant meshing algorithm. Proc Eng 82:338\u2013350. https:\/\/doi.org\/10.1016\/j.proeng.2014.10.395","journal-title":"Proc Eng"},{"key":"2196_CR19","doi-asserted-by":"publisher","unstructured":"Lo SH (2015). Finite element mesh generation. https:\/\/doi.org\/10.1201\/b17713","DOI":"10.1201\/b17713"},{"issue":"5","key":"2196_CR20","doi-asserted-by":"publisher","first-page":"177","DOI":"10.5555\/2771589.2771607","volume":"33","author":"K Takayama","year":"2014","unstructured":"Takayama K, Panozzo D, Sorkine-Hornung O (2014) Pattern-based quadrangulation for N-sided patches. Comput Graphics Forum 33(5):177\u2013184. https:\/\/doi.org\/10.5555\/2771589.2771607","journal-title":"Comput Graphics Forum"},{"key":"2196_CR21","unstructured":"Docampo-S\u00e1nchez J, Haimes R (2020) A regularization approach for automatic quad mesh generation. In: 28th International meshing roundtable. Zenodo"},{"key":"2196_CR22","unstructured":"Kinney P (1997) Cleanup: improving quadrilateral finite element meshes. In: 6th International Meshing Roundtable, pp. 437\u2013447"},{"issue":"2","key":"2196_CR23","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1111\/j.1467-8659.2011.01868.x","volume":"30","author":"D Bommes","year":"2011","unstructured":"Bommes D, Lempfer T, Kobbelt L (2011) Global structure optimization of quadrilateral meshes. Comput Graphics Forum 30(2):375\u2013384. https:\/\/doi.org\/10.1111\/j.1467-8659.2011.01868.x","journal-title":"Comput Graphics Forum"},{"key":"2196_CR24","doi-asserted-by":"publisher","first-page":"103744","DOI":"10.1016\/j.cad.2024.103744","volume":"175","author":"A Narayanan","year":"2024","unstructured":"Narayanan A, Pan Y, Persson PO (2024) Learning topological operations on meshes with application to block decomposition of polygons. Comput Aided Des 175:103744. https:\/\/doi.org\/10.1016\/j.cad.2024.103744","journal-title":"Comput Aided Des"},{"key":"2196_CR25","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.cag.2022.10.001","volume":"109","author":"MN Akram","year":"2022","unstructured":"Akram MN, Xu K, Chen G (2022) Structure simplification of planar quadrilateral meshes. Comput Graph 109:1\u201314. https:\/\/doi.org\/10.1016\/j.cag.2022.10.001","journal-title":"Comput Graph"},{"key":"2196_CR26","doi-asserted-by":"publisher","unstructured":"Daniels J, Silva CT, Shepherd J, Cohen E (2008) Quadrilateral mesh simplification. In: ACM Conferences. Association for Computing Machinery, pp.1\u20139. https:\/\/doi.org\/10.1145\/1457515.1409101","DOI":"10.1145\/1457515.1409101"},{"key":"2196_CR27","unstructured":"Reberol M, Georgiadis C, Remacle J (2021) Quasi-structured quadrilateral meshing in gmsh\u2013a robust pipeline for complex cad models"},{"key":"2196_CR28","doi-asserted-by":"publisher","DOI":"10.1016\/j.jocs.2023.102109","volume":"72","author":"H Tong","year":"2023","unstructured":"Tong H, Qian K, Halilaj E, Zhang YJ (2023) SRL-assisted AFM: generating planar unstructured quadrilateral meshes with supervised and reinforcement learning-assisted advancing front method. J Comput Sci 72:102109. https:\/\/doi.org\/10.1016\/j.jocs.2023.102109","journal-title":"J Comput Sci"}],"container-title":["Engineering with Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-025-02196-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00366-025-02196-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-025-02196-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T12:48:48Z","timestamp":1766062128000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00366-025-02196-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,9,4]]},"references-count":28,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2025,12]]}},"alternative-id":["2196"],"URL":"https:\/\/doi.org\/10.1007\/s00366-025-02196-y","relation":{},"ISSN":["0177-0667","1435-5663"],"issn-type":[{"type":"print","value":"0177-0667"},{"type":"electronic","value":"1435-5663"}],"subject":[],"published":{"date-parts":[[2025,9,4]]},"assertion":[{"value":"17 May 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 August 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 September 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no Conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}