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Morphologic features of aortic dissection determine not only treatment strategies in the acute phase (surgical vs. endovascular vs. medical), but also modulate the hemodynamics in the false lumen, ultimately responsible for late complications. Accurate description of the true and false lumen, any communications across the dissection membrane separating the two lumina, and blood supply from each lumen to aortic branch vessels is critical for risk prediction. Patient\u2010specific surface representations are also a prerequisite for hemodynamic simulations, but currently require time\u2010consuming manual segmentation of CT data. We present an aortic dissection cross\u2010sectional model that captures the varying aortic anatomy, allowing for reliable measurements and creation of high\u2010quality surface representations. In contrast to the traditional spline\u2010based cross\u2010sectional model, we employ elliptic Fourier descriptors, which allows users to control the accuracy of the cross\u2010sectional contour of a flow channel. We demonstrate (i) how our approach can solve the requirements for generating surface and wall representations of the flow channels, (ii) how any number of communications between flow channels can be specified in a consistent manner, and (iii) how well branches connected to the respective flow channels are handled. Finally, we discuss how our approach is a step forward to an automated generation of surface models for aortic dissections from raw 3D imaging segmentation masks.<\/jats:p>","DOI":"10.1111\/cgf.14318","type":"journal-article","created":{"date-parts":[[2021,6,29]],"date-time":"2021-06-29T16:48:33Z","timestamp":1624985313000},"page":"423-434","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Implicit Modeling of Patient\u2010Specific Aortic Dissections with Elliptic Fourier Descriptors"],"prefix":"10.1111","volume":"40","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2333-5404","authenticated-orcid":false,"given":"G.","family":"Mistelbauer","sequence":"first","affiliation":[{"name":"Department of Simulation and Graphics Otto\u2010von\u2010Guericke University Magdeburg  Germany"}]},{"given":"C.","family":"R\u00f6ssl","sequence":"additional","affiliation":[{"name":"Department of Simulation and Graphics Otto\u2010von\u2010Guericke University Magdeburg  Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2126-5919","authenticated-orcid":false,"given":"K.","family":"B\u00e4umler","sequence":"additional","affiliation":[{"name":"3D and Quantitative Imaging Laboratory, Department of Radiology Stanford University School of Medicine  Stanford CA USA"}]},{"given":"B.","family":"Preim","sequence":"additional","affiliation":[{"name":"Department of Simulation and Graphics Otto\u2010von\u2010Guericke University Magdeburg  Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0715-0952","authenticated-orcid":false,"given":"D.","family":"Fleischmann","sequence":"additional","affiliation":[{"name":"3D and Quantitative Imaging Laboratory, Department of Radiology Stanford University School of Medicine  Stanford CA USA"}]}],"member":"311","published-online":{"date-parts":[[2021,6,29]]},"reference":[{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1148\/ryct.2019180009"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1093\/bioinformatics\/btaa461"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1145\/337680.337683"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0190(79)90072-3"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.14079"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0031-3203(98)00132-0"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0031-3203(99)00093-X"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2004.01.003"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jvcir.2008.01.001"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10237-020-01294-8"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.21037\/acs.2016.05.05"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1093\/gigascience\/giw008"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10237-015-0729-2"},{"key":"e_1_2_9_15_2","doi-asserted-by":"crossref","unstructured":"EigenK. 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