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

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.


Published in:
Proceedings of Imaging and Applied Optics: OSA Optics & Photonics Congress, Mathematics in Imaging (OSA-MI'16), Heidelberg, Federal Republic of Germany, MW5H.1
Year:
2016
Publisher:
OSA
Laboratories:




 Record created 2016-09-01, last modified 2018-03-17

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