1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NA2023
Analysis of the sparse super resolution limit using the Cramér-Rao lower bound
Mathias Hockmann
Already since the work by Abbe and Rayleigh the difficulty of super resolution where one wants to recover a collection of point sources from low-resolved microscopy measurements is…
math.NA2022
Approximation and Interpolation of Singular Measures by Trigonometric Polynomials
Paul Catala, Mathias Hockmann, Stefan Kunis +1
Complex signed measures of finite total variation are a powerful signal model in many applications. Restricting to the -dimensional torus, finitely supported measures allow for…
math.NA2021★ 1 cited
Sparse super resolution is Lipschitz continuous
Mathias Hockmann, Stefan Kunis
Motivated by the application of neural networks in super resolution microscopy, this paper considers super resolution as the mapping of trigonometric moments of a discrete measure…