Iterative Graph Cuts for Image Segmentation with a Nonlinear Statistical Shape Prior

  • Authors:
  • Joshua C. Chang;Tom Chou

  • Affiliations:
  • Mathematical Biosciences Institute, The Ohio State University, Columbus, USA 43210;UCLA Biomathematics and Mathematics, Los Angeles, USA 90095-1766

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 2014

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Abstract

Shape-based regularization has proven to be a useful method for delineating objects within noisy images where one has prior knowledge of the shape of the targeted object. When a collection of possible shapes is available, the specification of a shape prior using kernel density estimation is a natural technique. Unfortunately, energy functionals arising from kernel density estimation are of a form that makes them impossible to directly minimize using efficient optimization algorithms such as graph cuts. Our main contribution is to show how one may recast the energy functional into a form that is minimizable iteratively and efficiently using graph cuts.