Computing Robustness and Persistence for Images

  title={Computing Robustness and Persistence for Images},
  author={Paul Bendich and H. Edelsbrunner and M. Kerber},
  journal={IEEE Transactions on Visualization and Computer Graphics},
  • Paul Bendich, H. Edelsbrunner, M. Kerber
  • Published 2010
  • Computer Science, Medicine
  • IEEE Transactions on Visualization and Computer Graphics
  • We are interested in 3-dimensional images given as arrays of voxels with intensity values. Extending these values to a continuous function, we study the robustness of homology classes in its level and interlevel sets, that is, the amount of perturbation needed to destroy these classes. The structure of the homology classes and their robustness, over all level and interlevel sets, can be visualized by a triangular diagram of dots obtained by computing the extended persistence of the function. We… CONTINUE READING
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