4 papers
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…
Sampling in BV-Type Spaces
Vincent Guillemet, Michael Unser
The sampling of functions of bounded variation (BV) is a long-standing problem in op- timization. The ability to sample such functions has relevance in the field of variational inv…
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…
Adaptive Vector-Valued Splines for the Resolution of Inverse Problems
Vincent Guillemet, Michaël Unser
We introduce a general framework for the reconstruction of vector-valued functions from finite and possibly noisy data, acquired through a known measurement operator. The reconstru…