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The study of its experimental order of convergence on 3D examples shows its second order accuracy for smooth solutions and first order accuracy for highly singular solutions with vanishing gradients as arising in image segmentation.<\/jats:p>","DOI":"10.1137\/060651203","type":"journal-article","created":{"date-parts":[[2007,1,10]],"date-time":"2007-01-10T09:51:43Z","timestamp":1168422703000},"page":"2248-2265","source":"Crossref","is-referenced-by-count":31,"title":["Semi\u2010Implicit Covolume Method in 3D Image Segmentation"],"prefix":"10.1137","volume":"28","author":[{"given":"S.","family":"Corsaro","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"K.","family":"Mikula","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"Sarti","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"F.","family":"Sgallari","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,12,11]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00375127"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/0729052"},{"key":"R3","unstructured":"Y. Aoyama and J. Nakano,\n                      RS\/6000 SP: Practical MPI Programming\n                      , IBM, http:\/\/www.redbooks.ibm.com (1999)."},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1007\/s007910050005"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1007\/BF01385685"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1023\/A:1007979827043"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050294"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1137\/0729012"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1016\/S0097-8493(97)00085-X"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.4310\/jdg\/1214446564"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(02)00233-0"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-1992-00266-5"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.4171\/IFB\/24"},{"key":"R14","doi-asserted-by":"crossref","unstructured":"K. Deckelnick and G. 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