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An image denoising-deblurring adaptive variational problem in BV spaces. (English) Zbl 1212.35493

Summary: 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.

MSC:

35R09 Integro-partial differential equations
35D30 Weak solutions to PDEs
35K59 Quasilinear parabolic equations
45K05 Integro-partial differential equations
49Q20 Variational problems in a geometric measure-theoretic setting
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