Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/91725
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dc.contributor.authorLie, Johanen
dc.contributor.authorLysaker, Mariusen
dc.contributor.authorTai, Xue Chengen
dc.date.accessioned2009-05-06T07:34:42Zen
dc.date.accessioned2019-12-06T18:10:52Z-
dc.date.available2009-05-06T07:34:42Zen
dc.date.available2019-12-06T18:10:52Z-
dc.date.copyright2006en
dc.date.issued2006en
dc.identifier.citationLie, J., Lysaker, M., & Tai, X. C. (2006). A binary level set model and some applications to Mumford-Shah image segmentation. IEEE Transactions on Image Processing, 15(5), 1171-1181.en
dc.identifier.issn1057-7149en
dc.identifier.urihttps://hdl.handle.net/10356/91725-
dc.description.abstractIn this paper, we propose a PDE-based level set method. Traditionally, interfaces are represented by the zero level set of continuous level set functions. Instead, we let the interfaces be represented by discontinuities of piecewise constant level set functions. Each level set function can at convergence only take two values, i.e., it can only be 1 or -1; thus, our method is related to phase-field methods. Some of the properties of standard level set methods are preserved in the proposed method, while others are not. Using this new method for interface problems, we need to minimize a smooth convex functional under a quadratic constraint. The level set functions are discontinuous at convergence, but the minimization functional is smooth. We show numerical results using the method for segmentation of digital images.en
dc.format.extent11 p.en
dc.language.isoenen
dc.relation.ispartofseriesIEEE transactions on image processingen
dc.rightsIEEE Transactions on Image Processing @ copyright 2006 IEEE. The journal's website is located at http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=1621239.en
dc.subjectDRNTU::Science::Mathematics::Applied mathematics::Numerical analysisen
dc.subjectDRNTU::Engineering::Computer science and engineering::Computing methodologies::Image processing and computer visionen
dc.titleA binary level set model and some applications to Mumford-Shah image segmentationen
dc.typeJournal Articleen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen
dc.identifier.openurlhttp://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:EVII&id=doi:10.1109/TIP.2005.863956&genre=&isbn=&issn=10577149&date=2006&volume=15&issue=5&spage=1171&epage=1181&aulast=Lie&aufirst=%20Johan&auinit=&title=IEEE%20Transactions%20on%20Image%20Processing&atitle=A%20binary%20level%20set%20model%20and%20some%20applications%20to%20Mumford%2DShah%20image%20segmentationen
dc.description.versionPublished versionen
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