{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T08:24:15Z","timestamp":1778660655200,"version":"3.51.4"},"publisher-location":"New York, NY, USA","reference-count":22,"publisher":"ACM","license":[{"start":{"date-parts":[[2007,6,4]],"date-time":"2007-06-04T00:00:00Z","timestamp":1180915200000},"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":[],"published-print":{"date-parts":[[2007,6,4]]},"DOI":"10.1145\/1236246.1236300","type":"proceedings-article","created":{"date-parts":[[2007,6,6]],"date-time":"2007-06-06T14:37:31Z","timestamp":1181140651000},"page":"373-378","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Mathematical representation of the vascular structure and applications"],"prefix":"10.1145","author":[{"given":"Jie","family":"Li","sequence":"first","affiliation":[{"name":"Drexel University, Philadelphia, PA"}]},{"given":"William C.","family":"Regli","sequence":"additional","affiliation":[{"name":"Drexel University, Philadelphia, PA"}]},{"given":"Wei","family":"Sun","sequence":"additional","affiliation":[{"name":"Drexel University, Philadelphia, PA"}]}],"member":"320","published-online":{"date-parts":[[2007,6,4]]},"reference":[{"key":"e_1_3_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218654306000858"},{"key":"e_1_3_2_1_2_1","unstructured":"Beutel J. Kundel H. L. and Metter R. L. V. 2000. Handbook of Medical Imaging: Volume 1. Physics and Psychophysics. SPIE Press.  Beutel J. Kundel H. L. and Metter R. L. V. 2000. Handbook of Medical Imaging: Volume 1. Physics and Psychophysics . SPIE Press."},{"key":"e_1_3_2_1_3_1","volume-title":"Computational fluid dynamics: principles and applications","author":"Blazek J.","unstructured":"Blazek , J. 2001. Computational fluid dynamics: principles and applications . Elsevier , ch. 11. Blazek, J. 2001. Computational fluid dynamics: principles and applications. Elsevier, ch. 11."},{"key":"e_1_3_2_1_4_1","doi-asserted-by":"crossref","unstructured":"B\u00fchler K. Felkel P. and Cruz A. L. 2004. Geometric methods for vessel visualization and quantification - a survey. In Geometric Modelling for Scientific Visualization 399--421.  B\u00fchler K. Felkel P. and Cruz A. L. 2004. Geometric methods for vessel visualization and quantification - a survey. In Geometric Modelling for Scientific Visualization 399--421.","DOI":"10.1007\/978-3-662-07443-5_24"},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2004.834612"},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1109\/MCG.1987.277068"},{"key":"e_1_3_2_1_7_1","first-page":"3","article-title":"Mathematical modelling of the cardiovascular system","volume":"47","author":"De Vosse F. V.","year":"2003","unstructured":"De Vosse , F. V. 2003 . Mathematical modelling of the cardiovascular system . Journal of Engineering Mathematics 47 , 3 -- 4 , 175--183. De Vosse, F. V. 2003. Mathematical modelling of the cardiovascular system. Journal of Engineering Mathematics 47, 3--4, 175--183.","journal-title":"Journal of Engineering Mathematics"},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1109\/42.811279"},{"key":"e_1_3_2_1_9_1","first-page":"97","volume-title":"Proc. SPIE","volume":"1233","author":"Hideaki H.","unstructured":"Hideaki , H. , and Nagaaki , O . 1990. 3-D blood vessel reconstruction by simulated annealing . In Proc. SPIE Vol. 1233 , p. 97 -- 102 , Medical Imaging IV: Image Processing, Murray H. Loew; Ed., M. H. Loew, Ed., 97--102. Hideaki, H., and Nagaaki, O. 1990. 3-D blood vessel reconstruction by simulated annealing. In Proc. SPIE Vol. 1233, p. 97--102, Medical Imaging IV: Image Processing, Murray H. Loew; Ed., M. H. Loew, Ed., 97--102."},{"key":"e_1_3_2_1_10_1","doi-asserted-by":"crossref","unstructured":"Kim Y. and Horii S. C. 2000. Handbook of Medical Imaging: Volume 3. Display and PACS. SPIE Press.  Kim Y. and Horii S. C. 2000. Handbook of Medical Imaging: Volume 3. Display and PACS. SPIE Press.","DOI":"10.1117\/3.367205"},{"key":"e_1_3_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2002.808357"},{"key":"e_1_3_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.fluid.29.1.399"},{"key":"e_1_3_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1522-2594(200004)43:4<565::AID-MRM11>3.0.CO;2-L"},{"key":"e_1_3_2_1_14_1","first-page":"207","article-title":"The physiological principle of minimum work. i. the vascular system and the cost of blood volume","volume":"12","author":"Murray C. D.","year":"1926","unstructured":"Murray , C. D. 1926 . The physiological principle of minimum work. i. the vascular system and the cost of blood volume . Physiology 12 , 3, 207 -- 214 . Murray, C. D. 1926. The physiological principle of minimum work. i. the vascular system and the cost of blood volume. Physiology 12, 3, 207--214.","journal-title":"Physiology"},{"key":"e_1_3_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2004.843196"},{"key":"e_1_3_2_1_16_1","doi-asserted-by":"crossref","unstructured":"Piegl L. A. and Tiller W. 1997. The NURBS book 2 ed. Springer.   Piegl L. A. and Tiller W. 1997. The NURBS book 2 ed. Springer.","DOI":"10.1007\/978-3-642-59223-2"},{"key":"e_1_3_2_1_17_1","volume-title":"Level set methods: evolving interfaces in geometry, fluid mechanics, computer vision, and materials science","author":"Sethian J. A.","unstructured":"Sethian , J. A. 1996. Level set methods: evolving interfaces in geometry, fluid mechanics, computer vision, and materials science . Cambridge University Press . Sethian, J. A. 1996. Level set methods: evolving interfaces in geometry, fluid mechanics, computer vision, and materials science. Cambridge University Press."},{"key":"e_1_3_2_1_18_1","doi-asserted-by":"crossref","unstructured":"Sonka M. and Fitzpatrick J. M. 2000. Handbook of Medical Imaging: Volume 2. Medical Image Processing and Analysis. SPIE Press ch. 14.  Sonka M. and Fitzpatrick J. M. 2000. Handbook of Medical Imaging: Volume 2. Medical Image Processing and Analysis . SPIE Press ch. 14.","DOI":"10.1117\/3.831079"},{"key":"e_1_3_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1007\/11428862_3"},{"key":"e_1_3_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.1113\/jphysiol.1955.sp005276"},{"key":"e_1_3_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2004.08.002"},{"key":"e_1_3_2_1_23_1","doi-asserted-by":"publisher","DOI":"10.1109\/42.974935"}],"event":{"name":"SPM07: Symposium on Solid and Physical Modeling","location":"Beijing China","acronym":"SPM07","sponsor":["Tsinghua University Tsinghua University","SIGGRAPH ACM Special Interest Group on Computer Graphics and Interactive Techniques"]},"container-title":["Proceedings of the 2007 ACM symposium on Solid and physical modeling"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1236246.1236300","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1236246.1236300","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T14:52:03Z","timestamp":1750258323000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1236246.1236300"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,6,4]]},"references-count":22,"alternative-id":["10.1145\/1236246.1236300","10.1145\/1236246"],"URL":"https:\/\/doi.org\/10.1145\/1236246.1236300","relation":{},"subject":[],"published":{"date-parts":[[2007,6,4]]},"assertion":[{"value":"2007-06-04","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}