An Image Denoising-Deblurring Adaptive Variational Problem in BV Space  

An Image Denoising-Deblurring Adaptive Variational Problem in BV Space

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作  者:HUANG Haiyang ZHANG Haili HUAN Zhongdan 

机构地区:[1]School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China.

出  处:《Journal of Partial Differential Equations》2009年第4期315-333,共19页偏微分方程(英文版)

基  金:Acknowledgments The project is supported by National Natural Science Foundation of China (10531040)

摘  要:In this paper, we establish the existence and uniqueness of a BV solution to an initial boundary value problem for a nonlinear integro-differential equation, which is related to a denoising and deblurring variational model in image restoration. Several experiments relevant to the restoration model are performed and numerical results are discussed.

关 键 词:EXISTENCE UNIQUENESS BV solution nonlinear integro-differential equation imagerestoration. 

分 类 号:O176[理学—数学] TN911.73[理学—基础数学]

 

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