Diffusion Tensor Imaging with Deterministic Error Bounds

  title={Diffusion Tensor Imaging with Deterministic Error Bounds},
  author={A. Gorokh and Y. Korolev and T. Valkonen},
  journal={Journal of Mathematical Imaging and Vision},
  • A. Gorokh, Y. Korolev, T. Valkonen
  • Published 2016
  • Mathematics, Computer Science
  • Journal of Mathematical Imaging and Vision
  • Errors in the data and the forward operator of an inverse problem can be handily modelled using partial order in Banach lattices. We present some existing results of the theory of regularisation in this novel framework, where errors are represented as bounds by means of the appropriate partial order. We apply the theory to diffusion tensor imaging, where correct noise modelling is challenging: it involves the Rician distribution and the non-linear Stejskal–Tanner equation. Linearisation of the… CONTINUE READING
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