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math.OC2025
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…
math.OC2025
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…