A Study in the BV Space of a Denoising—Deblurring Variational Problem

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Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing (2003, methodology): “(for a correct form of the equation 0 ¥ “F(u) satisfied by a minimizer u ¥ BV, we refer the reader to [25]).”
A Combined First and Second Order Variational Approach for Image Reconstruction (2012, methodology): “The proof of the following theorem also follows the proof of the corresponding theorem for the first order analogue in [48].”
Image Decomposition and Restoration Using Total Variation Minimization and the H1 (2003, methodology): “Existence and uniqueness results of this minimization problem can be found in [1], [7], [20], [2].”
Variable Exponent, Linear Growth Functionals in Image Restoration (2006, background): “More related work on linear-growth functionals and their flows can be found in [2, 3, 4, 5, 6, 7, 12, 14, 33].”