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A variant of the level set method and applications to image segmentation

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A variant of the level set method and applications to image segmentation

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dc.contributor.author Lie, Johan
dc.contributor.author Lysaker, Marius
dc.contributor.author Tai, Xue Cheng
dc.date.accessioned 2009-05-12T08:44:23Z
dc.date.available 2009-05-12T08:44:23Z
dc.date.copyright 2006
dc.date.issued 2009-05-12T08:44:23Z
dc.identifier.citation Lie, J., Lysaker, M., & Tai, X. C. (2006). A variant of the level set method and applications to image segmentation. Mathematics of Computation, 75(255), 1155-1174.
dc.identifier.issn 0025-5718
dc.identifier.uri http://hdl.handle.net/10220/4604
dc.description.abstract In this paper we propose a variant of the level set formulation for identifying curves separating regions into different phases. In classical level set approaches, the sign of level set functions are utilized to identify up to 2n phases. The novelty in our approach is to introduce a piecewise constant level set function and use each constant value to represent a unique phase. If phases should be identified, the level set function must approach 2n predetermined constants. We just need one level set function to represent 2n unique phases, and this gains in storage capacity. Further, the reinitializing procedure requested in classical level set methods is superfluous using our approach. The minimization functional for our approach is locally convex and differentiable and thus avoids some of the problems with the nondifferentiability of the Delta and Heaviside functions. Numerical examples are given, and we also compare our method with related approaches.
dc.format.extent 20 p.
dc.language.iso en
dc.relation.ispartofseries Mathematics of Computation.
dc.rights Mathematics of Computation @ copyright 2006 American Mathematical Society. The journal's website is located at http://www.ams.org/mcom/2006-75-255/S0025-5718-06-01835-7/home.html.
dc.subject DRNTU::Science::Mathematics::Analysis.
dc.title A variant of the level set method and applications to image segmentation
dc.type Journal Article
dc.contributor.school School of Physical and Mathematical Sciences
dc.identifier.openurl http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:ISI_WOS_XML&id=doi:&genre=&isbn=&issn=0025-5718&date=2006&volume=75&issue=255&spage=1155&epage=1174&aulast=Lie&aufirst=%20J&auinit=J&title=MATHEMATICS%20OF%20COMPUTATION&atitle=A%20variant%20of%20the%20level%20set%20method%20and%20applications%20to%20image%20segmentation
dc.identifier.doi http://dx.doi.org/10.1090/S0025-5718-06-01835-7
dc.description.version Published version
dc.contributor.organization Norwegian Research Council

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