Multiphase image segmentation and modulation recovery based on shape and topological sensitivity

  • Hintermüller M
  • Laurain A
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Abstract

Topological sensitivity analysis is performed for the piecewise constant Mumford-Shah functional. Topological and shape derivatives are combined in order to derive an algorithm for image segmentation with fully automatized initialization. Segmentation of 2D and 3D data is presented. Further, a generalized Mumford-Shah functional is proposed and numerically investigated for the segmentation of images modulated due to, e.g., coil sensitivities.

Author-supplied keywords

  • Image processing
  • K-means clustering
  • Modulation recovery
  • Mumford-Shah functional
  • Piecewise constant reconstruction
  • Segmentation
  • Shape and topological sensitivity

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Authors

  • M. Hintermüller

  • A. Laurain

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