Approximation and Optimization in Image Restoration and Reconstruction

نویسندگان

  • Antonin Chambolle
  • Daniel Cremers
  • Thomas Pock
چکیده

We will present a convex representation for the minimal partition problem, based on the notion of “paired calibrations” [2], [3]. We propose an efficient algorithm for minimizing this problem, and discuss the practical implementation with “many” labels. It can be applied to a number of problems, from segmentation to stereo reconstruction. The quality of the results is substantially better than with the approaches based on Pott’s model, although the computational cost can be quite high. We also discuss the possibility of minimizing energies with a bulk term, such as the Mumford-Shah functional, following the “calibration” approach of [1].

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تاریخ انتشار 2009