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On The Continuous Steering of the Scale of Tight Wavelet Frames
Zsuzsanna Püspöki, John Paul Ward, Daniel Sage +1
In analogy with steerable wavelets, we present a general construction of adaptable tight wavelet frames, with an emphasis on scaling operations. In particular, the derived wavelets…
On the Besov Regularity of Periodic Lévy Noises
Julien Fageot, Michael Unser, John Paul Ward
In this paper, we study the Besov regularity of Lévy white noises on the -dimensional torus. Due to their rough sample paths, the white noises that we consider are defined as ge…
Exact algorithms for -TV regularization of real-valued or circle-valued signals
Martin Storath, Andreas Weinmann, Michael Unser
We consider -TV regularization of univariate signals with values on the real line or on the unit circle. While the real data space leads to a convex optimization problem, the…
Isotropic inverse-problem approach for two-dimensional phase unwrapping
Ulugbek S. Kamilov, Ioannis N. Papadopoulos, Morteza H. Shoreh +2
In this paper, we propose a new technique for two-dimensional phase unwrapping. The unwrapped phase is found as the solution of an inverse problem that consists in the minimization…
A Learning Approach to Optical Tomography
Morteza H. Shoreh, Ulugbek S. Kamilov, Ioannis N. Papadopoulos +4
We describe a method for imaging 3D objects in a tomographic configuration implemented by training an artificial neural network to reproduce the complex amplitude of the experiment…