Generalized sampling: stable reconstructions, inverse problems and compressed sensing over the continuum

@article{Adcock2013GeneralizedSS,
  title={Generalized sampling: stable reconstructions, inverse problems and compressed sensing over the continuum},
  author={B. Adcock and A. Hansen and B. Roman and G. Teschke},
  journal={ArXiv},
  year={2013},
  volume={abs/1310.1141}
}
  • B. Adcock, A. Hansen, +1 author G. Teschke
  • Published 2013
  • Mathematics, Computer Science
  • ArXiv
  • Abstract The purpose of this paper is to report on recent approaches to reconstruction problems based on analog, or in other words, infinite-dimensional, image and signal models. We describe three main contributions to this problem. First, linear reconstructions from sampled measurements via so-called generalized sampling (GS). Second, the extension of generalized sampling to inverse and ill-posed problems. And third, the combination of generalized sampling with sparse recovery techniques. This… CONTINUE READING
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