Volume 4, Issue 1
An Energy Regularization Method for the Backward Diffusion Problem and Its Applications to Image Deblurring

Houde Han, Ming Yan & Chunlin Wu

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Commun. Comput. Phys., 4 (2008), pp. 177-194.

Published online: 2008-04

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  • Abstract

For the backward diffusion equation, a stable discrete energy regularization algorithm is proposed. Existence and uniqueness of the numerical solution are given. Moreover, the error between the solution of the given backward diffusion equation and the numerical solution via the regularization method can be estimated. Some numerical experiments illustrate the efficiency of the method, and its application in image deblurring.


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@Article{CiCP-4-177, author = {}, title = {An Energy Regularization Method for the Backward Diffusion Problem and Its Applications to Image Deblurring}, journal = {Communications in Computational Physics}, year = {2008}, volume = {4}, number = {1}, pages = {177--194}, abstract = {

For the backward diffusion equation, a stable discrete energy regularization algorithm is proposed. Existence and uniqueness of the numerical solution are given. Moreover, the error between the solution of the given backward diffusion equation and the numerical solution via the regularization method can be estimated. Some numerical experiments illustrate the efficiency of the method, and its application in image deblurring.


}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7786.html} }
TY - JOUR T1 - An Energy Regularization Method for the Backward Diffusion Problem and Its Applications to Image Deblurring JO - Communications in Computational Physics VL - 1 SP - 177 EP - 194 PY - 2008 DA - 2008/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7786.html KW - AB -

For the backward diffusion equation, a stable discrete energy regularization algorithm is proposed. Existence and uniqueness of the numerical solution are given. Moreover, the error between the solution of the given backward diffusion equation and the numerical solution via the regularization method can be estimated. Some numerical experiments illustrate the efficiency of the method, and its application in image deblurring.


Houde Han, Ming Yan & Chunlin Wu. (2020). An Energy Regularization Method for the Backward Diffusion Problem and Its Applications to Image Deblurring. Communications in Computational Physics. 4 (1). 177-194. doi:
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