Corpus ID: 221818915

Analysis of simultaneous inpainting and geometric separation based on sparse decomposition

@article{Do2020AnalysisOS,
  title={Analysis of simultaneous inpainting and geometric separation based on sparse decomposition},
  author={Van Tiep Do and R. Levie and G. Kutyniok},
  journal={arXiv: Functional Analysis},
  year={2020}
}
Natural images are often the superposition of various parts of different geometric characteristics. For instance, an image might be a mixture of cartoon and texture structures. In addition, images are often given with missing data. In this paper, we develop a method for simultaneously decomposing an image to its two underlying parts and inpainting the missing data. Our separation inpainting method is based on and $l_1$ minimization approach, using two dictionaries, each sparsifying one of the… Expand

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