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SUMMARY:Second Order Differences for Combined Cyclic and Vector Space Data
  and their Application to Denoising and Inpainting using a TV-type Approac
 h - Ronny Bergmann
DTSTART:20150304T150000Z
DTEND:20150304T160000Z
UID:TALK58117@talks.cam.ac.uk
CONTACT:Dr Jan Lellmann
DESCRIPTION:In many image applications\, we have to deal with noisy measur
 ements or even lossy data. In many cases\, image data is vectorial\, e.g. 
 for color images\, or even a combination of cyclic and linear space data\,
  like for the HSV color space. In order to restore real valued data\, TV m
 inimization is quite popular. Extending this to higher order differences a
 voids the so called `stair casing` effect.\n\nThis talk introduce second o
 rder differences for combined cyclic and linear space data\, like HSV. We 
 present a second order total variation type functional for the inpainting 
 and the denoising situation and the combination of both. We further derive
  and efficient algorithm to minimize this functional and apply the algorit
 hms to concrete problems.
LOCATION:MR 14\, Centre for Mathematical Sciences
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