3 papers
math.OC2020
Diffusion Tensor Regularization with Metric Double Integrals
Leon Frischauf, Melanie Melching, Otmar Scherzer
In this paper we propose a variational regularization method for denoising and inpainting of diffusion tensor magnetic resonance images. We consider these images as manifold-valued…
math.OC2019
Regularization with Metric Double Integrals for Vector Tomography
Melanie Melching, Otmar Scherzer
We present a family of non-local variational regularization methods for solving tomographic problems, where the solutions are functions with range in a closed subset of the Euclide…
math.OC2018
Regularization with Metric Double Integrals of Functions with Values in a Set of Vectors
René Ciak, Melanie Melching, Otmar Scherzer
We present an approach for variational regularization of inverse and imaging problems for recovering functions with values in a set of vectors. We introduce regularization function…