IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Generalized Mumford-Shah Functionals in Imaging

  • Jan. 21, 2011
  • 2:20 p.m.
  • LeConte 312

Abstract

We deal with the application and the analysis of different variants of the Mumford-Shah model in the context of image processing. In this kind of models, a given function is approximated in a piecewise smooth or piecewise constant manner. In particular, the following four topics are discussed:

  • Simultaneous edge detection and registration of two images
  • Detection of grain boundaries from atomic scale images of metals or metal alloys
  • Joint motion estimation and restoration of motion-blurred video
  • Convexification of the binary Mumford-Shah segmentation model
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