{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"HeEd"}],"publisher":"Springer","day":"17","file":[{"file_size":165090,"relation":"main_file","file_id":"4694","file_name":"IST-2016-535-v1+1_2009-P-04-3ManifoldSegmentation.pdf","creator":"system","content_type":"application/pdf","date_updated":"2020-07-14T12:46:21Z","date_created":"2018-12-12T10:08:33Z","access_level":"open_access","checksum":"11fc85bcc19bab1f020e706a4b8a4660"}],"_id":"3968","oa":1,"scopus_import":1,"language":[{"iso":"eng"}],"publication_status":"published","date_created":"2018-12-11T12:06:10Z","abstract":[{"lang":"eng","text":"We describe an algorithm for segmenting three-dimensional medical imaging data modeled as a continuous function on a 3-manifold. It is related to watershed algorithms developed in image processing but is closer to its mathematical roots, which are Morse theory and homological algebra. It allows for the implicit treatment of an underlying mesh, thus combining the structural integrity of its mathematical foundations with the computational efficiency of image processing."}],"volume":5903,"file_date_updated":"2020-07-14T12:46:21Z","year":"2009","pubrep_id":"535","month":"11","title":"The persistent Morse complex segmentation of a 3-manifold","quality_controlled":"1","date_published":"2009-11-17T00:00:00Z","citation":{"apa":"Edelsbrunner, H., &#38; Harer, J. (2009). The persistent Morse complex segmentation of a 3-manifold (Vol. 5903, pp. 36–50). Presented at the 3DPH: Modelling the Physiological Human, Zermatt, Switzerland: Springer. <a href=\"https://doi.org/10.1007/978-3-642-10470-1_4\">https://doi.org/10.1007/978-3-642-10470-1_4</a>","ista":"Edelsbrunner H, Harer J. 2009. The persistent Morse complex segmentation of a 3-manifold. 3DPH: Modelling the Physiological Human, LNCS, vol. 5903, 36–50.","chicago":"Edelsbrunner, Herbert, and John Harer. “The Persistent Morse Complex Segmentation of a 3-Manifold,” 5903:36–50. Springer, 2009. <a href=\"https://doi.org/10.1007/978-3-642-10470-1_4\">https://doi.org/10.1007/978-3-642-10470-1_4</a>.","ama":"Edelsbrunner H, Harer J. The persistent Morse complex segmentation of a 3-manifold. In: Vol 5903. Springer; 2009:36-50. doi:<a href=\"https://doi.org/10.1007/978-3-642-10470-1_4\">10.1007/978-3-642-10470-1_4</a>","ieee":"H. Edelsbrunner and J. Harer, “The persistent Morse complex segmentation of a 3-manifold,” presented at the 3DPH: Modelling the Physiological Human, Zermatt, Switzerland, 2009, vol. 5903, pp. 36–50.","mla":"Edelsbrunner, Herbert, and John Harer. <i>The Persistent Morse Complex Segmentation of a 3-Manifold</i>. Vol. 5903, Springer, 2009, pp. 36–50, doi:<a href=\"https://doi.org/10.1007/978-3-642-10470-1_4\">10.1007/978-3-642-10470-1_4</a>.","short":"H. Edelsbrunner, J. Harer, in:, Springer, 2009, pp. 36–50."},"intvolume":"      5903","type":"conference","has_accepted_license":"1","page":"36 - 50","doi":"10.1007/978-3-642-10470-1_4","acknowledgement":"This research was partially supported by Geomagic, Inc., and by the Defense Advanced Research Projects Agency (DARPA) under grants HR0011-05-1-0007 and HR0011-05-1-0057.","ddc":["000"],"conference":{"end_date":"2009-12-02","name":"3DPH: Modelling the Physiological Human","location":"Zermatt, Switzerland","start_date":"2009-11-29"},"author":[{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert","last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833","first_name":"Herbert"},{"full_name":"Harer, John","first_name":"John","last_name":"Harer"}],"status":"public","date_updated":"2021-01-12T07:53:32Z","publist_id":"2160","oa_version":"Submitted Version","alternative_title":["LNCS"]}