{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,22]],"date-time":"2025-10-22T02:59:36Z","timestamp":1761101976527,"version":"3.41.0"},"reference-count":46,"publisher":"Association for Computing Machinery (ACM)","issue":"5","license":[{"start":{"date-parts":[[2011,10,1]],"date-time":"2011-10-01T00:00:00Z","timestamp":1317427200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Graph."],"published-print":{"date-parts":[[2011,10]]},"abstract":"<jats:p>\n            We describe a simple algorithm to reconstruct the surface of smooth three-dimensional multilabeled objects from sampled planar cross-sections of arbitrary orientation. The algorithm has the unique ability to handle cross-sections in which regions are classified as being inside the object, outside the object, or unknown. This is achieved by constructing a scalar function on R\n            <jats:sup>3<\/jats:sup>\n            , whose zero set is the desired surface. The function is constructed independently inside every cell of the arrangement of the cross-section planes using transfinite interpolation techniques based on barycentric coordinates. These guarantee that the function is smooth, and its zero set interpolates the cross-sections. The algorithm is highly parallelizable and may be implemented as an incremental update as each new cross-section is introduced. This leads to an efficient online version, performed on a GPU, which is suitable for interactive medical applications.\n          <\/jats:p>","DOI":"10.1145\/2019627.2019632","type":"journal-article","created":{"date-parts":[[2011,10,25]],"date-time":"2011-10-25T12:23:05Z","timestamp":1319545385000},"page":"1-11","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":22,"title":["Online reconstruction of 3D objects from arbitrary cross-sections"],"prefix":"10.1145","volume":"30","author":[{"given":"Amit","family":"Bermano","sequence":"first","affiliation":[{"name":"Technion -- Israel Institute of Technology, Israel"}]},{"given":"Amir","family":"Vaxman","sequence":"additional","affiliation":[{"name":"Technion -- Israel Institute of Technology, Israel"}]},{"given":"Craig","family":"Gotsman","sequence":"additional","affiliation":[{"name":"Technion -- Israel Institute of Technology, Israel"}]}],"member":"320","published-online":{"date-parts":[[2011,10,22]]},"reference":[{"volume-title":"Proceedings of the Eurographics Conference. 3--10","author":"Amanatides J.","key":"e_1_2_2_1_1"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/1810959.1811007"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1006\/gmip.1996.0044"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/1839778.1839786"},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-87744-8_13"},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.gmod.2004.05.001"},{"key":"e_1_2_2_7_1","doi-asserted-by":"publisher","DOI":"10.1006\/cviu.1996.0018"},{"key":"e_1_2_2_8_1","doi-asserted-by":"publisher","DOI":"10.5555\/1735603.1735614"},{"key":"e_1_2_2_9_1","doi-asserted-by":"publisher","DOI":"10.1097\/00004728-198102000-00012"},{"key":"e_1_2_2_10_1","doi-asserted-by":"publisher","DOI":"10.5555\/1018429.1021028"},{"key":"e_1_2_2_11_1","doi-asserted-by":"crossref","unstructured":"Boissonnat J.-D. and geiger B. 1992. Three dimensional reconstruction of complex shapes based on the Delaunay triangulation. Tech. rep. 1697 INRIA-Sophia Antiplis.  Boissonnat J.-D. and geiger B. 1992. Three dimensional reconstruction of complex shapes based on the Delaunay triangulation. Tech. rep. 1697 INRIA-Sophia Antiplis.","DOI":"10.1117\/12.148710"},{"volume-title":"Proceedings of the Symposium on Geometry Processing. 89--98","author":"Boissonnat J.-D.","key":"e_1_2_2_12_1"},{"key":"e_1_2_2_13_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0734-189X(88)80028-8"},{"key":"e_1_2_2_14_1","unstructured":"Cgal. Computational geometry algorithms library. http:\/\/www.cgal.org.  Cgal. Computational geometry algorithms library. http:\/\/www.cgal.org."},{"key":"e_1_2_2_15_1","doi-asserted-by":"publisher","DOI":"10.1145\/304012.304061"},{"key":"e_1_2_2_16_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01900663"},{"key":"e_1_2_2_17_1","doi-asserted-by":"publisher","DOI":"10.1145\/965139.807388"},{"volume-title":"Proceedings of the Vision, Modeling, and Visualization Conference. 123--130","author":"Csebfalvi B.","key":"e_1_2_2_18_1"},{"key":"e_1_2_2_19_1","unstructured":"Dance C. and Prager R. 1997. Delaunay reconstruction from multiaxial planar cross-sections. Tech. rep. CUED\/F-INFENG\/TR273 Cambridge University UK.  Dance C. and Prager R. 1997. Delaunay reconstruction from multiaxial planar cross-sections. Tech. rep. CUED\/F-INFENG\/TR273 Cambridge University UK."},{"key":"e_1_2_2_20_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2007.12.003"},{"key":"e_1_2_2_21_1","doi-asserted-by":"publisher","DOI":"10.1145\/108360.108363"},{"volume-title":"Proceedings of the Spring Conference on Computer Graphics. 254--263","year":"1999","author":"Felkel P.","key":"e_1_2_2_22_1"},{"key":"e_1_2_2_23_1","doi-asserted-by":"publisher","DOI":"10.1145\/276884.276912"},{"key":"e_1_2_2_24_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2005.06.004"},{"key":"e_1_2_2_25_1","doi-asserted-by":"publisher","DOI":"10.1145\/359842.359846"},{"key":"e_1_2_2_26_1","doi-asserted-by":"publisher","DOI":"10.1145\/965145.801264"},{"volume-title":"Proceedings of the European Symposium on Algorithms. 654--666","author":"Granados M.","key":"e_1_2_2_27_1"},{"key":"e_1_2_2_28_1","doi-asserted-by":"publisher","DOI":"10.1145\/1073204.1073229"},{"key":"e_1_2_2_29_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00371-005-0321-3"},{"volume-title":"Proceedings of the Symposium on Geometry Processing. 61--70","author":"Kazhdan M.","key":"e_1_2_2_30_1"},{"key":"e_1_2_2_31_1","doi-asserted-by":"publisher","DOI":"10.1016\/0734-189X(88)90141-7"},{"key":"e_1_2_2_32_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0734-189X(88)80048-3"},{"key":"e_1_2_2_33_1","doi-asserted-by":"publisher","DOI":"10.1147\/rd.191.0002"},{"key":"e_1_2_2_34_1","doi-asserted-by":"publisher","DOI":"10.1145\/280814.280831"},{"key":"e_1_2_2_35_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2008.01112.x"},{"key":"e_1_2_2_36_1","doi-asserted-by":"publisher","DOI":"10.1145\/130881.131213"},{"key":"e_1_2_2_37_1","doi-asserted-by":"publisher","DOI":"10.1111\/1467-8659.1530397"},{"key":"e_1_2_2_38_1","doi-asserted-by":"publisher","DOI":"10.1109\/38.329091"},{"key":"e_1_2_2_39_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.comgeo.2006.11.008"},{"key":"e_1_2_2_40_1","doi-asserted-by":"publisher","DOI":"10.1145\/988420.988426"},{"key":"e_1_2_2_41_1","doi-asserted-by":"publisher","DOI":"10.1109\/34.9117"},{"key":"e_1_2_2_42_1","doi-asserted-by":"publisher","DOI":"10.1145\/218380.218473"},{"key":"e_1_2_2_43_1","doi-asserted-by":"publisher","DOI":"10.1145\/311535.311580"},{"key":"e_1_2_2_44_1","doi-asserted-by":"publisher","DOI":"10.1016\/0031-3203(86)90010-5"},{"key":"e_1_2_2_45_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1994.1024"},{"key":"e_1_2_2_46_1","doi-asserted-by":"publisher","DOI":"10.1016\/0097-8493(87)90056-2"}],"container-title":["ACM Transactions on Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2019627.2019632","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/2019627.2019632","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T19:07:42Z","timestamp":1750273662000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2019627.2019632"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,10]]},"references-count":46,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2011,10]]}},"alternative-id":["10.1145\/2019627.2019632"],"URL":"https:\/\/doi.org\/10.1145\/2019627.2019632","relation":{},"ISSN":["0730-0301","1557-7368"],"issn-type":[{"type":"print","value":"0730-0301"},{"type":"electronic","value":"1557-7368"}],"subject":[],"published":{"date-parts":[[2011,10]]},"assertion":[{"value":"2010-07-01","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-06-01","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-10-22","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}