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math.NA2026
Neural network parametrized level sets for image segmentation
Otmar Scherzer, Cong Shi, Thi Lan Nhi Vu
Chan-Vese algorithms have proven to be a first-class method for image segmentation. Early implementations used level set methods with a pixelwise representation of the level set fu…
math.NA2023
Quadratic neural networks for solving inverse problems
Leon Frischauf, Otmar Scherzer, Cong Shi
In this paper we investigate the solution of inverse problems with neural network ansatz functions with generalized decision functions. The relevant observation for this work is th…
math.NA2017★ 4 cited
Reconstruction formulas for Photoacoustic Imaging in Attenuating Media
Otmar Scherzer, Cong Shi
In this paper we study the problem of photoacoustic inversion in a weakly attenuating medium. We present explicit reconstruction formulas in such media and show that the inversion…