| Image segmentation based on Mumford-Shah functional |
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| 作者姓名： | 陈旭锋 管志成 |
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| 作者单位： | Department of Mathematics，Zhejiang University，Department of Mathematics，Zhejiang University Hangzhou 310027，China，Hangzhou 310027，China |
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| 摘 要： | INTRODUCTIONInthefieldsofComputerVisionandImageProcessing,thetheoryofPDEhasbeenappliedverysuccessfullytoimagesegmentationandim agesmoothing (seeAmbrosioetal.,1992 ;March,1992 ;Weickert,1998;Bourdin ,1999;IEEETrans.onImageProcessing ,1998) .Intheclassicalsnakesandactivecont ourmodels,aspointedoutintheChanandVese’swork(ChanandVese,2 0 0 1) ,tostoptheevolvingcurveontheboundaryofthedesiredobject,anedge detectorisused ,dependingonthegradientoftheinitialimageu0 .Fortheproblemsofcurveev…
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| 关 键 词： | Image segmentational Mumford Shah functional Viscosity solution Level set method |
Image segmentation based on Mumford-Shah functional |
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| CHEN Xu feng,GUAN Zhi cheng.Image segmentation based on Mumford-Shah functional[J].Journal of Zhejiang University Science,2004(1). |
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| Authors: | CHEN Xu feng GUAN Zhi cheng |
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| Abstract: | In this paper, the authors propose a new model for active contours segmentation in a given image, based on Mumford Shah functional (Mumford and Shah, 1989). The model is composed of a system of differential and integral equations. By the experimental results we can keep the advantages of Chan and Vese's model (Chan and Vese, 2001) and avoid the regularization for Dirac function. More importantly, in theory we prove that the system has a unique viscosity solution. |
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