Microlocal Analysis of the Geometric Separation Problem

@article{Donoho2010MicrolocalAO,
  title={Microlocal Analysis of the Geometric Separation Problem},
  author={David L. Donoho and Gitta Kutyniok},
  journal={ArXiv},
  year={2010},
  volume={abs/1004.3006}
}
  • David L. Donoho, Gitta Kutyniok
  • Published 2010
  • Mathematics, Computer Science
  • ArXiv
  • Image data are often composed of two or more geometrically distinct constituents; in galaxy catalogs, for instance, one sees a mixture of pointlike structures (galaxy superclusters) and curvelike structures (filaments). It would be ideal to process a single image and extract two geometrically `pure' images, each one containing features from only one of the two geometric constituents. This seems to be a seriously underdetermined problem, but recent empirical work achieved highly persuasive… CONTINUE READING

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