论文信息 - A Multigrid Method for Total Variation-Based Image Denoising

A Multigrid Method for Total Variation-Based Image Denoising

Byimage reconstruction we mean obtaining the solution u of an operator equation of the form $$Au = z,$$ (1.1) where A is typically (but not necessarily) linear, and the dataz is assumed to be contaminated by error. Two important special cases are: (i) Denoising, or noise removal, whereAu =u; and (ii)Deblurring, whereA is a Fredholm first kind integral operator $$(Au)(x) = \int_\Omega k (x,y)u(y)dy,x \in \Omega $$ (1.2) which models “blurring” processes involved in image formation. See [9] for details.

C. Vogel

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