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Characterization of the Solution of Linear Inverse Problems with Generalized TV Regularization

M. Unser

Proceedings of Imaging and Applied Optics: OSA Optics & Photonics Congress, Mathematics in Imaging (OSA-MI'16), Heidelberg, Federal Republic of Germany, July 25-28, 2016, paper no. MW5H.1.



Ill-posed inverse problems are often constrained by imposing a bound on the total variation of the solution. Here, we consider a generalized version of total-variation regularization that is tied to some differential operator L. We then show that the general form of the solution is a nonuniform L-spline with fewer knots than the number of measurements.


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TITLE="Characterization of the Solution of Linear Inverse Problems with
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