{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,14]],"date-time":"2026-04-14T03:35:04Z","timestamp":1776137704485,"version":"3.50.1"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2017,7,5]],"date-time":"2017-07-05T00:00:00Z","timestamp":1499212800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51679012"],"award-info":[{"award-number":["51679012"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51539002"],"award-info":[{"award-number":["51539002"]}],"id":[{"id":"10.13039\/501100001809","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":[[2018,1]]},"DOI":"10.1007\/s00366-017-0527-9","type":"journal-article","created":{"date-parts":[[2017,7,5]],"date-time":"2017-07-05T07:05:51Z","timestamp":1499238351000},"page":"155-173","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["The simplex subdivision of a complex region: a positive and negative finite element superposition principle"],"prefix":"10.1007","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0707-2299","authenticated-orcid":false,"given":"Qi-Hua","family":"Zhang","sequence":"first","affiliation":[]},{"given":"Hai-Dong","family":"Su","sequence":"additional","affiliation":[]},{"given":"Shao-Zhong","family":"Lin","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,7,5]]},"reference":[{"key":"527_CR1","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1007\/BF02274210","volume":"5","author":"TJ Baker","year":"1989","unstructured":"Baker TJ (1989) Automatic mesh generation for complex three-dimensional regions using a constrained Delaunay triangulation. Eng Comput 5:161\u2013175","journal-title":"Eng Comput"},{"issue":"5","key":"527_CR2","doi-asserted-by":"crossref","first-page":"1455","DOI":"10.1111\/j.1467-8659.2009.01522.x","volume":"28","author":"D Boltcheva","year":"2009","unstructured":"Boltcheva D, Yvinec M, Boissonnat J-D (2009) Feature preserving Delaunay mesh generation from 3D multi-material images. Comput Graph Forum 28(5):1455\u20131464","journal-title":"Comput Graph Forum"},{"key":"527_CR3","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1016\/0045-7825(95)00854-1","volume":"128","author":"H Borouchaki","year":"1995","unstructured":"Borouchaki H, Lo SH (1995) Fast Dealunay triangulation in three dimensions. Comput Methods Appl Mech Eng 128:153\u2013167","journal-title":"Comput Methods Appl Mech Eng"},{"key":"527_CR4","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/PL00007196","volume":"17","author":"JB Cavalcante Neto","year":"2001","unstructured":"Cavalcante Neto JB, Wawrzynek PA, Carvalho MTM, Martha LF, Ingraffea AR (2001) An algorithm for three-dimensional mesh generation for arbitrary regions with cracks. Eng Comput 17:75\u201391","journal-title":"Eng Comput"},{"key":"527_CR5","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1016\/j.compstruc.2010.11.016","volume":"89","author":"J Chen","year":"2011","unstructured":"Chen J, Zhao D, Huang Z, Zheng Y, Gao S (2011) Three-dimensional constrained boundary recovery with an enhanced Steiner point suppression procedure. Comput Struct 89:455\u2013466","journal-title":"Comput Struct"},{"key":"527_CR6","doi-asserted-by":"crossref","first-page":"2547","DOI":"10.1016\/j.cma.2003.12.058","volume":"193","author":"Q Du","year":"2004","unstructured":"Du Q, Wang D (2004) Boundary recovery for three dimensional conforming Delaunay triangulation. Comput Methods Appl Mech Eng 193:2547\u20132563","journal-title":"Comput Methods Appl Mech Eng"},{"key":"527_CR7","doi-asserted-by":"crossref","first-page":"1355","DOI":"10.1016\/j.camwa.2004.12.008","volume":"49","author":"Q Du","year":"2005","unstructured":"Du Q, Wang D (2005) The optimal centroidal voronoi tessellations and the Gersho\u2019s conjecture in the three-dimensional space. Comput Math Appl 49:1355\u20131373","journal-title":"Comput Math Appl"},{"key":"527_CR8","doi-asserted-by":"crossref","first-page":"8","DOI":"10.1016\/j.cam.2005.07.014","volume":"195","author":"Q Du","year":"2006","unstructured":"Du Q, Wang D (2006) Recent progress in robust and quality Delaunay mesh generation. J Comput Appl Math 195:8\u201323","journal-title":"J Comput Appl Math"},{"key":"527_CR9","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/S0045-7825(97)00222-3","volume":"157","author":"PJ Frey","year":"1998","unstructured":"Frey PJ, Borouchaki H, George P-L (1998) 3D Delaunay mesh generation coupled with an advancing-front approach. Comput Methods Appl Mech Eng 157:115\u2013131","journal-title":"Comput Methods Appl Mech Eng"},{"key":"527_CR10","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1016\/j.finel.2009.06.022","volume":"46","author":"H Ghadyani","year":"2010","unstructured":"Ghadyani H, Sullivan J, Wu Z (2010) Boundary recovery for Delaunay tetrahedral meshes using local topological transformations. Finite Elem Anal Des 46:74\u201383","journal-title":"Finite Elem Anal Des"},{"issue":"4","key":"527_CR11","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1016\/S1365-1609(00)00006-X","volume":"37","author":"L Jing","year":"2000","unstructured":"Jing L (2000) Block system construction for three-dimensional discrete element models of fractured rocks. Int J Rock Mech Min Sci 37(4):645\u2013659","journal-title":"Int J Rock Mech Min Sci"},{"issue":"2","key":"527_CR12","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1016\/0148-9062(94)92807-X","volume":"31","author":"L Jin","year":"1994","unstructured":"Jin L, Stephansson O (1994) Topological identification of block assemblages for jointed rock masses. Int J Rock Mech Min Sci 31(2):163\u2013172","journal-title":"Int J Rock Mech Min Sci"},{"key":"527_CR13","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1002\/1097-0207(20000910\/20)49:1\/2<167::AID-NME928>3.0.CO;2-L","volume":"49","author":"BK Karamete","year":"2000","unstructured":"Karamete BK, Beall M, Shephard M (2000) Triangulation of arbitrary polyhedra to support automatic mesh generators. Int J Numer Methods Eng 49:167\u2013191","journal-title":"Int J Numer Methods Eng"},{"issue":"1","key":"527_CR14","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1016\/j.neuroimage.2010.11.013","volume":"55","author":"C Lederman","year":"2011","unstructured":"Lederman C, Joshi A, Dinov I, Vese L, Toga A, Van Horn JD (2011) The generation of tetrahedral mesh models for neuroanatomical MRI. NeuroImage 55(1):153\u2013164","journal-title":"NeuroImage"},{"issue":"1","key":"527_CR15","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1016\/0168-874X(95)00010-Q","volume":"20","author":"RW Lewis","year":"1995","unstructured":"Lewis RW, Zheng Y, Usmani AS (1995) Aspects of adaptive mesh generation based on domain decomposition and Delaunay triangulation. Finite Elem Anal Des 20(1):47\u201370","journal-title":"Finite Elem Anal Des"},{"key":"527_CR16","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1016\/0045-7825(95)00918-3","volume":"134","author":"RW Lewis","year":"1996","unstructured":"Lewis RW, Zheng Y, Gethin DT (1996) Three-dimensional unstructured mesh generation: Part 3. Volume meshes. Comput Methods Appl Mech Eng 134:285\u2013310","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"6","key":"527_CR17","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1016\/0148-9062(87)92254-6","volume":"24","author":"D Lin","year":"1987","unstructured":"Lin D, Fairhurst C, Starfield AM (1987) Geometrical identification of three-dimensional rock block systems using topological techniques. Int J Rock Mech Min Sci 24(6):331\u2013338","journal-title":"Int J Rock Mech Min Sci"},{"key":"527_CR18","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1016\/j.finel.2014.02.006","volume":"84","author":"Y Liu","year":"2014","unstructured":"Liu Y, Lo S, Guan Z, Zhang H (2014) Boundary recovery for 3D Delaunay triangulation. Finite Elem Anal Des 84:32\u201343","journal-title":"Finite Elem Anal Des"},{"key":"527_CR19","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1016\/j.finel.2004.07.002","volume":"41","author":"SH Lo","year":"2005","unstructured":"Lo SH, Wang WX (2005) Finite element mesh generation over intersecting curved surfaces by tracing of neighbours. Finite Elem Anal Des 41:351\u2013370","journal-title":"Finite Elem Anal Des"},{"key":"527_CR20","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1007\/BF01198734","volume":"12","author":"R L\u00f6hner","year":"1996","unstructured":"L\u00f6hner R (1996) Progress in grid generation via the advancing front technique. Eng Comput 12:186\u2013199","journal-title":"Eng Comput"},{"key":"527_CR21","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1016\/S0045-7825(99)00339-4","volume":"187","author":"R Radovitzky","year":"2000","unstructured":"Radovitzky R, Ortiz M (2000) Tetrahedral mesh generation based on node insertion in crystal lattice arrangements and advancing-front-Delaunay triangulation. Comput Methods Appl Mech Eng 187:543\u2013569","journal-title":"Comput Methods Appl Mech Eng"},{"key":"527_CR22","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1016\/S0045-7825(96)01116-4","volume":"141","author":"A Rassineux","year":"1997","unstructured":"Rassineux A (1997) 3D mesh adaptation. Optimization of tetrahedral meshes by advancing front technique. Comput Methods Appl Mech Eng 141:335\u2013354","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"1","key":"527_CR23","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1002\/nme.1620290105","volume":"29","author":"WJ Schroeder","year":"1990","unstructured":"Schroeder WJ, Shephard MS (1990) A combined Octree\/Delaunay method for fully automatic 3-D mesh generation. Int J Numer Methods Eng 29(1):37\u201355","journal-title":"Int J Numer Methods Eng"},{"key":"527_CR24","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1016\/S0965-9978(02)00131-X","volume":"34","author":"S Secchi","year":"2003","unstructured":"Secchi S, Simoni L (2003) An improved procedure for 2D unstructured Delaunay mesh generation. Adv Eng Softw 34:217\u2013234","journal-title":"Adv Eng Softw"},{"key":"527_CR25","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1002\/nag.1610130203","volume":"13","author":"G Shi","year":"1989","unstructured":"Shi G, Goodman RE (1989) The key blocks of unrolled joint traces in developed maps of tunnel walls. Int J Numer Anal Methods Geomech 13:131\u2013158","journal-title":"Int J Numer Anal Methods Geomech"},{"key":"527_CR26","unstructured":"Shi G (1995) Simplex integration for manifold method and discontinuous deformation analysis. In: Proceedings of the First International Conference on Analysis of Discontinuous Deformation. Chungli, Taiwan, China, pp 1\u201325"},{"issue":"11","key":"527_CR27","first-page":"2161","volume":"25","author":"G Shi","year":"2006","unstructured":"Shi G (2006) Producing joint polygons, cutting joint blocks and finding key blocks from general free surfaces. Chin J Rock Mech Eng 25(11):2161\u20132170","journal-title":"Chin J Rock Mech Eng"},{"issue":"7\u20138","key":"527_CR28","doi-asserted-by":"crossref","first-page":"686","DOI":"10.1016\/j.finel.2004.08.002","volume":"41","author":"A Tabarraei","year":"2005","unstructured":"Tabarraei A, Sukumar N (2005) Adaptive computations on conforming quadtree meshes. Finite Elem Anal Des 41(7\u20138):686\u2013702","journal-title":"Finite Elem Anal Des"},{"key":"527_CR29","doi-asserted-by":"crossref","first-page":"819","DOI":"10.1007\/s00371-012-0700-5","volume":"28","author":"J Tian","year":"2012","unstructured":"Tian J, Jiang W, Luo T, Cai K, Peng J, Wang W (2012) Adaptive coding of generic 3D triangular meshes based on octree decomposition. Vis Comput 28:819\u2013827","journal-title":"Vis Comput"},{"key":"527_CR30","doi-asserted-by":"crossref","unstructured":"Xing H, Liu Y, 2014. Mesh Generation for 3D geological reservoirs with arbitrary stratigraphic surface constraints. In: 14th international conference on computational science, pp 897\u2013909","DOI":"10.1016\/j.procs.2014.05.081"},{"key":"527_CR31","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1016\/j.jhydrol.2014.04.027","volume":"514","author":"Q-H Zhang","year":"2014","unstructured":"Zhang Q-H, Yin J-M (2014) Solution of two key issues in arbitrary three-dimensional discrete fracture network flow models. J Hydrol 514:281\u2013296","journal-title":"J Hydrol"},{"key":"527_CR32","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1016\/j.compgeo.2014.08.009","volume":"63","author":"Q-H Zhang","year":"2015","unstructured":"Zhang Q-H (2015) Advances of study on three-dimensional block cutting analysis and its application. Comput Geotech 63:26\u201332","journal-title":"Comput Geotech"}],"container-title":["Engineering with Computers"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00366-017-0527-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-017-0527-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-017-0527-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,28]],"date-time":"2019-09-28T10:24:43Z","timestamp":1569666283000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00366-017-0527-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,7,5]]},"references-count":32,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,1]]}},"alternative-id":["527"],"URL":"https:\/\/doi.org\/10.1007\/s00366-017-0527-9","relation":{},"ISSN":["0177-0667","1435-5663"],"issn-type":[{"value":"0177-0667","type":"print"},{"value":"1435-5663","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,7,5]]}}}