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20122023
most citedEntropic regularization of continuous optimal transport problems

51 citations · 191 across the 30 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

math.AP2019★ 1 cited

A mathematical model for cell polarization in zebrafish primordial germ cells

Carolin Dirks, Paul Striewski, Benedikt Wirth +3

Blebs are cell protrusions generated by local membrane-cortex detachments followed by expansion of the plasma membrane. Blebs are formed by some migrating cells, for example primor…

math.NA2019

Consistent Curvature Approximation on Riemannian Shape Spaces

Alexander Effland, Behrend Heeren, Martin Rumpf +1

We describe how to approximate the Riemann curvature tensor as well as sectional curvatures on possibly infinite-dimensional shape spaces that can be thought of as Riemannian manif…

math.OC2019★ 51 cited

Entropic regularization of continuous optimal transport problems

Christian Clason, Dirk A. Lorenz, Hinrich Mahler +1

We analyze continuous optimal transport problems in the so-called Kantorovich form, where we seek a transport plan between two marginals that are probability measures on compact su…

math.AP2019

Green's function for Poisson's equation and the EEG equation with Neumann boundary condition on -balls

Benedikt Wirth

We provide an elementary derivation of the Green's function for Poisson's equation with Neumann boundary data on balls of arbitrary dimension, which was recently found in [Sadybeko…

cs.CV2019★ 25 cited

Dynamic Cell Imaging in PET with Optimal Transport Regularization

Bernhard Schmitzer, Klaus P. Schäfers, Benedikt Wirth

We propose a novel dynamic image reconstruction method from PET listmode data that could be particularly suited to tracking single or small numbers of cells. In contrast to convent…