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Volume 22, Issue 4
An Image Denoising-deblurring Adaptive Variational Problem in BV Space

Haiyang Huang , Haili Zhang & Zhongdan Huan

DOI: 10.4208/jpde.v22.n4.2

J. Part. Diff. Eq., 22 (2009), pp. 315-333.

Published online: 2009-11

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  • Abstract

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.

  • Keywords

Existence uniqueness BV solution nonlinear integro-differential equation image restoration

  • AMS Subject Headings

35D05 35K20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-22-315, author = {Haiyang Huang , Haili Zhang and Zhongdan Huan }, title = {An Image Denoising-deblurring Adaptive Variational Problem in BV Space}, journal = {Journal of Partial Differential Equations}, year = {2009}, volume = {22}, number = {4}, pages = {315--333}, abstract = {

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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v22.n4.2}, url = {http://global-sci.org/intro/article_detail/jpde/5260.html} }
TY - JOUR T1 - An Image Denoising-deblurring Adaptive Variational Problem in BV Space AU - Haiyang Huang , Haili Zhang & Zhongdan Huan JO - Journal of Partial Differential Equations VL - 4 SP - 315 EP - 333 PY - 2009 DA - 2009/11 SN - 22 DO - http://doi.org/10.4208/jpde.v22.n4.2 UR - https://global-sci.org/intro/article_detail/jpde/5260.html KW - Existence KW - uniqueness KW - BV solution KW - nonlinear integro-differential equation KW - image restoration AB -

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.

Haiyang Huang , Haili Zhang and Zhongdan Huan . (2009). An Image Denoising-deblurring Adaptive Variational Problem in BV Space. Journal of Partial Differential Equations. 22 (4). 315-333. doi:10.4208/jpde.v22.n4.2
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