A gradient-based optimisation scheme foroptical tomography.

@article{Arridge1998AGO,
  title={A gradient-based optimisation scheme foroptical tomography.},
  author={Simon R. Arridge and Martin Schweiger},
  journal={Optics express},
  year={1998},
  volume={2 6},
  pages={213-26}
}
Optical tomography schemes using non-linear optimisation are usually based on a Newton-like method involving the construction and inversion of a large Jacobian matrix. Although such matrices canbe efficiently constructed using a reciprocity principle, their inversion is still computationally diffcult. In this paper we demonstrate a simple means to obtain the gradient of the objective function directly, leading to straightforward application of gradient-based optimisation methods. 

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