PDE-constrained optimization in medical image analysis

@article{Mang2018PDEconstrainedOI,
  title={PDE-constrained optimization in medical image analysis},
  author={Andreas Mang and Amir Gholami and Christos Davatzikos and George Biros},
  journal={Optimization and Engineering},
  year={2018},
  volume={19},
  pages={765-812}
}
PDE-constrained optimization problems find many applications in medical image analysis, for example, neuroimaging, cardiovascular imaging, and oncologic imaging. We review the related literature and give examples of the formulation, discretization, and numerical solution of PDE-constrained optimization problems for medical imaging. We discuss three examples. The first is image registration, the second is data assimilation for brain tumor patients, and the third is data assimilation in… Expand
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