Kronecker product approximation for preconditioning in three-dimensional imaging applications.

James G Nagy; Misha E Kilmer

doi:10.1109/tip.2005.863112

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Kronecker product approximation for preconditioning in three-dimensional imaging applications.

James G Nagy·Misha E Kilmer

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Abstract

We derive Kronecker product approximations, with the help of tensor decompositions, to construct approximations of severely ill-conditioned matrices that arise in three-dimensional (3-D) image processing applications. We use the Kronecker product approximations to derive preconditioners for iterative regularization techniques; the resulting preconditioned algorithms allow us to restore 3-D images in a computationally efficient manner. Through examples in microscopy and medical imaging, we show that the Kronecker approximation preconditioners provide a powerful tool that can be used to improve efficiency of iterative image restoration algorithms.

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Algorithms Image Enhancement Image Interpretation, Computer-Assisted Imaging, Three-Dimensional Information Storage and Retrieval Reproducibility of Results Sensitivity and Specificity Evaluation Study Journal Article Research Support, U.S. Gov't, Non-P.H.S.

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James G Nagy, Misha E Kilmer. 2006. Kronecker product approximation for preconditioning in three-dimensional imaging applications.. https://doi.org/10.1109/tip.2005.863112

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