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SUMMARY:Inpainting\, Segmentation and Free Discontinuity  - Franco Tomarel
 li (Politecnico di Milano - Dipartimento di Matematica)
DTSTART:20140618T140000Z
DTEND:20140618T150000Z
UID:TALK53049@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:This talk deals with free discontinuity problems related to co
 ntour enhancement in image segmentation and inpainting. The segmentation w
 e look for provides a cartoon of the given image satisfying some requireme
 nts: the decomposition of the image is performed by choosing a pattern of 
 lines of steepest discontinuity for light intensity\, and this pattern wil
 l be called segmentation of the image. In image restoration the term inpai
 nting denotes the process of filling in the missing information over subdo
 mains where a given image is damaged: these domains may correspond to scra
 tches in a camera picture\, occlusion by objects\, blotches in an old movi
 e film or aging of canvas and colors in a painting.\nWe focus on the mathe
 matical analysis of Blake & Zisserman functional\, precisely: existence of
  strong solution under Dirichlet boundary condition is shown\;\nseveral ex
 tremality conditions on optimal segmentation are stated\; well-posedness o
 f the problem is discussed\; non trivial local minimizers are analyzed\; a
  variational approximation is introduced and implemented.
LOCATION:MR 14\, CMS
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