22 citations · 53 across the 11 of their papers we have counts for
12 papers
Quantitative Multi-Modal Optical Coherence Photoacoustic Elastography
Ekaterina Sherina, Lisa Krainz, Wolfgang Drexler +1
We present a novel multi-modal optical coherence photoacoustic elastography framework, which combines two imaging modalities, optical coherence tomography and photoacoustic tomogra…
On a PDE-based material parameter identification problem with contact constraints
Simon Hubmer, Stefan Kindermann, Ekaterina Sherina
We consider the identification of a scalar coefficient in a PDE-based parameter estimation problem with contact constraints. The considered problem can be used as an idealized mode…
On the Intensity-based Inversion Method for Quantitative Quasi-Static Elastography
Ekaterina Sherina, Simon Hubmer
In this paper, we consider the intensity-based inversion method (IIM) for quantitative material parameter estimation in quasi-static elastography. In particular, we consider the pr…
On Phase Unwrapping via Digital Wavefront Sensors
Simon Hubmer, Victoria Laidlaw, Ronny Ramlau +2
In this paper, we derive a new class of methods for the classic 2D phase unwrapping problem of recovering a phase function from its wrapped form. For this, we consider the wrapped…
Subaperture-based Digital Aberration Correction for OCT: A Novel Mathematical Approach
Simon Hubmer, Ekaterina Sherina, Ronny Ramlau +2
In this paper, we consider subaperture-based approaches for the digital aberration correction (DAC) of optical coherence tomography (OCT) images. In particular, we introduce a math…
A numerical comparison of some heuristic stopping rules for nonlinear Landweber iteration
Simon Hubmer, Ekaterina Sherina, Stefan Kindermann +1
The choice of a suitable regularization parameter is an important part of most regularization methods for inverse problems. In the absence of reliable estimates of the noise level,…
Characterizations of Adjoint Sobolev Embedding Operators with Applications in Inverse Problems
Simon Hubmer, Ekaterina Sherina, Ronny Ramlau
We consider the Sobolev embedding operator and its role in the solution of inverse problems. In particular, we collect various properties and investigate…
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…
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)…
Levenberg-Marquardt algorithm for acousto-electric tomography based on the complete electrode model
Changyou Li, Mirza Karamehmedovic, Ekaterina Sherina +1
The inverse problem in Acousto-Electric tomography concerns the reconstruction of the electric conductivity in a domain from knowledge of the power density function in the interior…
Limited Angle Acousto-Electrical Tomography
Simon Hubmer, Kim Knudsen, Changyou Li +1
This paper considers the reconstruction problem in Acousto-Electrical Tomography, i.e., the problem of estimating a spatially varying conductivity in a bounded domain from measurem…
Lamé Parameter Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems
Simon Hubmer, Ekaterina Sherina, Andreas Neubauer +1
We consider a problem of quantitative static elastography, the estimation of the Lamé parameters from internal displacement field data. This problem is formulated as a nonlinear op…