Convex Cardinal Shape Composition

@article{Aghasi2015ConvexCS,
  title={Convex Cardinal Shape Composition},
  author={Alireza Aghasi and Justin K. Romberg},
  journal={SIAM J. Imaging Sci.},
  year={2015},
  volume={8},
  pages={2887-2950}
}
We propose a new shape-based modeling technique for applications in imaging problems. Given a collection of shape priors (a shape dictionary), we define our problem as choosing the right dictionary elements and geometrically composing them through basic set operations to characterize desired regions in an image. This is a combinatorial problem solving which requires an exhaustive search among a large number of possibilities. We propose a convex relaxation to the problem to make it… 

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