TY - JOUR
T1 - An Image Denoising-deblurring Adaptive Variational Problem in BV Space
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 - <p>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.</p>