6533b827fe1ef96bd1285963

RESEARCH PRODUCT

Iterative Regularization Techniques in Image Reconstruction

Martin Hanke

subject

Point spread functionTikhonov regularizationMathematical optimizationConjugate gradient methodMinificationIterative reconstructionRegularization (mathematics)AlgorithmSignal subspaceMathematics

description

In this survey we review recent developments concerning the efficient iterative regularization of image reconstruction problems in atmospheric imaging. We present a number of preconditioners for the minimization of the corresponding Tikhonov functional, and discuss the alternative of terminating the iteration early, rather than adding a stabilizing term in the Tikhonov functional. The methods are examplified for a (synthetic) model problem.

https://doi.org/10.1007/978-3-7091-6296-5_3