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math.OC2017★ 2 cited
Efficient regularization with wavelet sparsity constraints in PAT
Jürgen Frikel, Markus Haltmeier
In this paper we consider the reconstruction problem of photoacoustic tomography (PAT) with a flat observation surface. We develop a direct reconstruction method that employs regul…
math.OC2014★ 114 cited
Joint Image Reconstruction and Segmentation Using the Potts Model
Martin Storath, Andreas Weinmann, Jürgen Frikel +1
We propose a new algorithmic approach to the non-smooth and non-convex Potts problem (also called piecewise-constant Mumford-Shah problem) for inverse imaging problems. We derive a…