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math.OC2022
A square root velocity framework for curves of bounded variation
Markus Grasmair
The square root velocity transform is a powerful tool for the efficient computation of distances between curves. Also, after factoring out reparametrisations, it defines a distance…
math.OC2020
Source Conditions for non-quadratic Tikhonov Regularisation
Markus Grasmair
In this paper we consider convex Tikhonov regularisation for the solution of linear operator equations on Hilbert spaces. We show that standard fractional source conditions can be…