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A Higher Order Model for Image Restoration: The One-Dimensional Case

A Higher Order Model for Image Restoration: The One-Dimensional Case

The higher order total variation-based model for image restoration proposed by Chan, Marquina, and Mulet in [SIAM J. Sci. Comput., 22 (2000), pp. 503–516] is analyzed in one dimension. A suitable functional framework in which the minimization problem is well posed is being proposed, and it is proved analytically that …