Convergence of Discretized TV-Regularization Schemes to L-splines
We have recently shown that any generalized TV-regularization problem in continuous-domain is minimized by a non-uniform spline whose knot locations are not fixed a priori. This result was exploited to design new spline-based algorithms which are able to reconstruct spars e signal from their noisy measurements. The strategy we follow is to discretize the real axis into a uniform grid and to find the optimal spline with knots on the grid. We expect the procedure to converge to the optimal spline when the grid gets finer and finer. The goal of this project is to provide theoretical and/or experimental evidence of this convergence.
© 2017 EPFL • firstname.lastname@example.org • 04.04.2017