activity
20182021
most citedA mathematical approach towards THz tomography for non-destructive imaging

1 citations · 1 across the 2 of their papers we have counts for

collaborators

6 papers

physics.optics2021

Robust and bias-free localization of individual fixed dipole emitters achieving the Cramér Rao bound

Fabian Hinterer, Magdalena C. Schneider, Simon Hubmer +5

Single molecule localization microscopy has the potential to resolve structural details of biological samples at the nanometer length scale. However, to fully exploit the resolutio…

math.NA2021

Challenges for Optical Flow Estimates in Elastography

Ekaterina Sherina, Lisa Krainz, Simon Hubmer +2

In this paper, we consider visualization of displacement fields via optical flow methods in elastographic experiments consisting of a static compression of a sample. We propose an…

math.NA20201 cited

A mathematical approach towards THz tomography for non-destructive imaging

Simon Hubmer, Alexander Ploier, Ronny Ramlau +2

In this paper, we consider the imaging problem of terahertz (THz) tomography, in particular as it appears in non-destructive testing. We derive a nonlinear mathematical model descr…

math.NA2020

Displacement field estimation from OCT images utilizing speckle information with applications in quantitative elastography

Ekaterina Sherina, Lisa Krainz, Simon Hubmer +2

In this paper, we consider the problem of estimating the internal displacement field of an object which is being subjected to a deformation, from Optical Coherence Tomography (OCT)…

math.NA2020

A note on the minimization of a Tikhonov functional with -penalty

Fabian Hinterer, Simon Hubmer, Ronny Ramlau

In this paper, we consider the minimization of a Tikhonov functional with an penalty for solving linear inverse problems with sparsity constraints. One of the many approac…

math.NA2018

A Conjugate-Gradient Approach to the Parameter Estimation Problem of Magnetic Resonance Advection Imaging

Simon Hubmer, Andreas Neubauer, Ronny Ramlau +1

We consider the inverse problem of estimating the spatially varying pulse wave velocity in blood vessels in the brain from dynamic MRI data, as it appears in the recently proposed…