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Variational models depending on curvatures in image segmentation

Course Type: 
PhD Course
Academic Year: 
2012-2013
Period: 
March-April
Duration: 
20 h
Description: 
  • Variational models for the reconstruction problem:
    • the Mumford-Shah model, the Nitzberg-Mumford model,
    • the model on labelled contour graphs.
  • Three-dimensional scenes.
  • Stable maps from a two-manifold to the plane.
  • Apparent contours of embedded surfaces.
  • Labelling an apparent contour.
  • Visible contours
  • A solution to the completion problem:
    • completing a visible contour graph into an apparent contour.
    • Examples of the algorithmic proof.
  • Topological reconstruction of a three-dimensional scene having an assigned labelled apparent contour.
  • Existence and uniqueness of reconstructions.
  • Reidemeister moves on knots. 
  • Completeness of moves on apparent contours.
  • Variational analysis of the model on apparent contours.
  • Lower semicontinuity and relaxation.
Location: 
A-133 ( may 21 A-134 )
Next Lectures: 

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