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Proceedings Paper

Lancros algorithm based efficient parameter estimate via generalized cross-validation
Author(s): Kai Xie
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Paper Abstract

Super-resolution image restoration is often known to be an ill-posed inverse and large scale problem. The regularization parameter plays a crucial role in the quality of the restored image. Although generalized cross-validation is a popular tool for computing a regularized parameter, it has been rarely applied to super-resolution image restoration problems until recently. A major difficulty lies in the implementation of generalized cross-validation which requires the costly computation and the evaluation of the trace of an inverse matrix. In this paper numerical approximate techniques are used to reduce the computational complexity. We employ Gauss quadrature to compute approximately the cross-validation function. The evaluation of the trace of the inverse matrix is replaced by stochastic trace so as to alleviate the problem. Further, Lancros algorithm and Galerkin equation is used to evaluate the stochastic trace. Our results show that the method is an effective and robust.

Paper Details

Date Published: 30 October 2009
PDF: 6 pages
Proc. SPIE 7497, MIPPR 2009: Medical Imaging, Parallel Processing of Images, and Optimization Techniques, 74970A (30 October 2009); doi: 10.1117/12.832731
Show Author Affiliations
Kai Xie, Beijing Institute of Graphic Communication (China)

Published in SPIE Proceedings Vol. 7497:
MIPPR 2009: Medical Imaging, Parallel Processing of Images, and Optimization Techniques
Faxiong Zhang; Faxiong Zhang, Editor(s)

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