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20112023
most citedA Second Order Non-Smooth Variational Model for Restoring Manifold-Valued Images

95 citations · 768 across the 58 of their papers we have counts for

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5 papers · 1 filter

math.NA2015★ 41 cited

A Parallel Douglas Rachford Algorithm for Minimizing ROF-like Functionals on Images with Values in Symmetric Hadamard Manifolds

Ronny Bergmann, Johannes Persch, Gabriele Steidl

We are interested in restoring images having values in a symmetric Hadamard manifold by minimizing a functional with a quadratic data term and a total variation like regularizing t…

math.NA2015

Transport between RGB Images Motivated by Dynamic Optimal Transport

Jan Henrik Fitschen, Friederike Laus, Gabriele Steidl

We propose two models for the interpolation between RGB images based on the dynamic optimal transport model of Benamou and Brenier [8]. While the application of dynamic optimal tra…

math.NA2015★ 95 cited

A Second Order Non-Smooth Variational Model for Restoring Manifold-Valued Images

Miroslav Bačák, Ronny Bergmann, Gabriele Steidl +1

We introduce a new non-smooth variational model for the restoration of manifold-valued data which includes second order differences in the regularization term. While such models we…

math.NA2015★ 79 cited

Restoration of Manifold-Valued Images by Half-Quadratic Minimization

Ronny Bergmann, Raymond H. Chan, Ralf Hielscher +2

The paper addresses the generalization of the half-quadratic minimization method for the restoration of images having values in a complete Riemannian manifold. We recall the half-q…

math.NA2015★ 3 cited

Dynamic Optimal Transport with Mixed Boundary Condition for Color Image Processing

Jan Henrik Fitschen, Friederike Laus, Gabriele Steidl

Recently, Papadakis et al. proposed an efficient primal-dual algorithm for solving the dynamic optimal transport problem with quadratic ground cost and measures having densities wi…