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Thereby we compare approaches with an explicit representation of the surface by a triangulated surface mesh and an implicit surface representation as the zero-level surface of a level-set function. As an application we present the numerical treatment of the classical model of Rudin, Osher, and Fatemi to denoise images on surfaces.<\/jats:p>","DOI":"10.1137\/070699640","type":"journal-article","created":{"date-parts":[[2008,12,22]],"date-time":"2008-12-22T09:32:24Z","timestamp":1229938344000},"page":"379-399","source":"Crossref","is-referenced-by-count":7,"title":["Geodesic Evolution Laws\u2014A Level-Set Approach"],"prefix":"10.1137","volume":"1","author":[{"given":"Christina","family":"St\u00f6cker","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Axel","family":"Voigt","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2008,12,19]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-9991(02)00057-8"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1145\/588272.588276"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1998.6007"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.2001.6937"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2006.887728"},{"key":"R6","doi-asserted-by":"crossref","unstructured":"T. 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