The topological gradient method for semi-linear problems and application to edge detection and noise removal

@inproceedings{Drogoul2016TheTG,
  title={The topological gradient method for semi-linear problems and application to edge detection and noise removal},
  author={Audric Drogoul and Gilles Aubert},
  year={2016}
}
The goal of this paper is to apply the topological gradient method to edge detection and noise removal for images degraded by various noises and blurs. First applied to edge detection for images degraded by a Gaussian noise, we propose here to extend the method to blurred images contaminated either by a multiplicative noise of gamma law or to blurred Poissonian images. We compute, both for perforated and cracked domains, the topological gradient for each noise model. Then we present an edge… CONTINUE READING

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