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math.NA2025
Variational Tensor-Product Splines
Vincent Guillemet, Michael Unser
Multidimensional continuous-domain inverse problems are often solved by the minimization of a loss functional, formed as the sum of a data fidelity and a regularization. In this wo…
math.NA2025
Mixed-Derivative Total Variation
Vincent Guillemet, Michael Unser
The formulation of norms on continuous-domain Banach spaces with exact pixel-based discretization is advantageous for solving inverse problems (IPs). In this paper, we investigate…