000086973 001__ 86973
000086973 005__ 20190416055648.0
000086973 02470 $$2ISI$$a000227381500157
000086973 037__ $$aCONF
000086973 245__ $$aMultiscale Variational Approach to Simultaneous Image Regularization and Segmentation
000086973 269__ $$a2003
000086973 260__ $$bIEEE$$c2003
000086973 336__ $$aConference Papers
000086973 490__ $$aProc. DSP
000086973 520__ $$aThe problem of finding a piecewise smooth approximation of an original image while preserving edges is closely related to the image segmentation problem. Indeed, if we know the cartoon version of the original image, it is easier to perform an image partition into homogeneous regions. From this point of view, we propose to simultaneously perform regularization and segmentation. By working in the space of functions of bounded total variation, we allow discontinuities in the result of the minimisation. Therefore we perform regularization by using a Total Variation (TV) minimisation based on the gradient descent method. Each gradient step involves solving a discrete approximation of the corresponding partial differential equation that results in a smooth estimate of the original image without blurring across edges. This non-uniform smoothing allows an explicit region growing segmentation scheme that minimises one form of the Mumford-Shah functional. Therefore, the major novelity of our approach consists in competing two processes, one for boundary detection and the other for intraregion smoothing.
000086973 6531_ $$aEnergy
000086973 6531_ $$aLTS2
000086973 6531_ $$aminimisation
000086973 6531_ $$ascale-space
000086973 6531_ $$asegmentation
000086973 6531_ $$aTotal
000086973 6531_ $$aVariation.
000086973 700__ $$aPetrovic, A.
000086973 700__ $$g120906$$aVandergheynst, P.$$0240428
000086973 773__ $$tProceedings of the 3rd International Symposium on Image and Signal Processing and Analysis
000086973 8564_ $$uhttps://infoscience.epfl.ch/record/86973/files/Petrovic2003_58.pdf$$zn/a$$s207585
000086973 909C0 $$xU10380$$0252392$$pLTS2
000086973 909CO $$ooai:infoscience.tind.io:86973$$qGLOBAL_SET$$pconf$$pSTI
000086973 937__ $$aEPFL-CONF-86973
000086973 970__ $$aPetrovic2003_58/LTS
000086973 973__ $$sPUBLISHED$$aEPFL
000086973 980__ $$aCONF