• DOI:10.1007/s10851-016-0639-7
Corpus ID: 4277174

Diffusion Tensor Imaging with Deterministic Error Bounds

@article{Gorokh2016DiffusionTI,
  title={Diffusion Tensor Imaging with Deterministic Error Bounds},
  author={A. Gorokh and Y. Korolev and T. Valkonen},
  journal={Journal of Mathematical Imaging and Vision},
  year={2016},
  volume={56},
  pages={137-157}
}

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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