• Corpus ID: 2102906

Adaptive Regularization of Ill-Posed Problems: Application to Non-rigid Image Registration

@article{Myronenko2009AdaptiveRO,
  title={Adaptive Regularization of Ill-Posed Problems: Application to Non-rigid Image Registration},
  author={Andriy Myronenko and Xubo B. Song},
  journal={ArXiv},
  year={2009},
  volume={abs/0906.3323}
}
We introduce an adaptive regularization approach. In contrast to conventional Tikhonov regularization, which specifies a fixed regularization operator, we estimate it simultaneously with parameters. From a Bayesian perspective we estimate the prior distribution on parameters assuming that it is close to some given model distribution. We constrain the prior distribution to be a Gauss-Markov random field (GMRF), which allows us to solve for the prior distribution analytically and provides a fast… 
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