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inria-00533799, version 3

Image Segmentation with Multidimensional Refinement Indicators

Hend Ben Ameur () 12, Guy Chavent () 2, Francois Clément (Author to contact preferably) a2, Pierre Weis () a2

Inverse Problems in Science and Engineering 19, 5 (2011) 577-597

Abstract: We transpose an optimal control technique to the image segmentation problem. The idea is to consider image segmentation as a parameter estimation problem. The parameter to estimate is the color of the pixels of the image. We use the adaptive parameterization technique which builds iteratively an optimal representation of the parameter into uniform regions that form a partition of the domain, hence corresponding to a segmentation of the image. We minimize an error function during the iterations, and the partition of the image into regions is optimally driven by the gradient of this error. The resulting segmentation algorithm inherits desirable properties from its optimal control origin: soundness, robustness, and flexibility.

  • Domain : Mathematics/Numerical Analysis
  • Keywords : image segmentation – adaptive parameterization – inverse problem – optimal control
  • Internal note : RR-7446
  • Available versions :  v1 (2010-11-10) v2 (2011-04-08) v3 (2011-05-23)
 
  • inria-00533799, version 3
  • oai:hal.inria.fr:inria-00533799
  • From: 
  • Submitted on: Wednesday, 11 May 2011 15:20:18
  • Updated on: Wednesday, 16 May 2012 12:43:17
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