Persistence Diagrams of Cortical Surface Data

@article{Chung2009PersistenceDO,
  title={Persistence Diagrams of Cortical Surface Data},
  author={Moo K. Chung and Peter Bubenik and Peter T. Kim},
  journal={Information processing in medical imaging : proceedings of the ... conference},
  year={2009},
  volume={21},
  pages={
          386-97
        }
}
We present a novel framework for characterizing signals in images using techniques from computational algebraic topology. This technique is general enough for dealing with noisy multivariate data including geometric noise. The main tool is persistent homology which can be encoded in persistence diagrams. These diagrams visually show how the number of connected components of the sublevel sets of the signal changes. The use of local critical values of a function differs from the usual statistical… CONTINUE READING
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