A note on the fast algorithm for block Toeplitz systems with tensor structure
Applied Mathematics and Computation
Atmospheric Turbulence Restoration by Diffeomorphic Image Registration and Blind Deconvolution
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
Variational Bayesian blind deconvolution using a total variation prior
IEEE Transactions on Image Processing
Global field interpolation for particle methods
Journal of Computational Physics
A Multilevel Algorithm for Simultaneously Denoising and Deblurring Images
SIAM Journal on Scientific Computing
A new preconditioner for the interface system arising in a fast Helmholtz solver
Computers & Mathematics with Applications
On decomposition-based block preconditioned iterative methods for half-quadratic image restoration
Journal of Computational and Applied Mathematics
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In PDE image restoration problems, one has to invert operators which is a sum of a blurring operator and an elliptic operator with highly varying coefficient. We present a preconditioner for such operators, which can be used with the conjugate gradient (CG) method, and compare it with Vogel and Oman's (see SIAM J. Sci. Stat. Comput., vol.17, p.227-38, 1996, and IEEE Trans. Image Processing, vol.7, p.813-24, 1998) product preconditioner