A new nonlinear filter constructed from the Newton method and EPR in image restoration

The edge-preserving regularization method (EPR) is effective to remove Gaussian noise and impulse noise in image restorations, but till now, we could not say that the problem has been solved very efficiently by state of the art optimization method. In our paper, we will construct a new nonlinear fil...

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Bibliographic Details
Published in:Applied mathematics and computation 2014-05, Vol.234, p.520-530
Main Authors: Gu, Xiaojuan, Gao, Li
Format: Article
Language:English
Subjects:
Construction
Gaussian
Gaussian noise
Image restoration
Mathematical models
Newton method
Newton methods
Noise
Nonlinear filter
Nonlinear filters
Regularization
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Summary:The edge-preserving regularization method (EPR) is effective to remove Gaussian noise and impulse noise in image restorations, but till now, we could not say that the problem has been solved very efficiently by state of the art optimization method. In our paper, we will construct a new nonlinear filter from the edge-preserving model and the Newton method, the parameter estimation model in the nonlinear filter will be established, and the solution existence of the model will be proved at the same time. Numerical results demonstrate that the nonlinear filter removes the Gaussian noise from an image as effectively as the edge-preserving regularization method does, and the time for the nonlinear filter to restore an image is less than half time for the edge-preserving regularization method.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.01.175