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20082026
most citedREFUGE Challenge: A Unified Framework for Evaluating Automated Methods for Glaucoma Assessment from Fundus Photographs

858 citations

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5 papers · 1 filter

math.NA2024

Vertex characterization via second-order topological derivatives

Peter Gangl, Bochra Mejri, Otmar Scherzer

This paper focuses on identifying vertex characteristics in 2D images using topological asymptotic analysis. Vertex characteristics include both the location and the type of the ve…

math.NA2024★ 3 cited

Generalized Fourier Diffraction Theorem and Filtered Backpropagation for Tomographic Reconstruction

Clemens Kirisits, Michael Quellmalz, Eric Setterqvist

This paper concerns diffraction-tomographic reconstruction of an object characterized by its scattering potential. We establish a rigorous generalization of the Fourier diffraction…

math.NA2022★ 5 cited

Motion Detection in Diffraction Tomography by Common Circle Methods

Michael Quellmalz, Peter Elbau, Otmar Scherzer +1

The method of common lines is a well-established reconstruction technique in cryogenic electron microscopy (cryo-EM), which can be used to extract the relative orientations of an o…

math.NA2021★ 6 cited

Diffraction Tomography, Fourier Reconstruction, and Full Waveform Inversion

Florian Faucher, Clemens Kirisits, Michael Quellmalz +2

In this paper, we study the mathematical imaging problem of diffraction tomography (DT), which is an inverse scattering technique used to find material properties of an object by i…

math.NA2021★ 12 cited

On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems

Fabian Parzer, Otmar Scherzer

In this paper we discuss a deterministic form of ensemble Kalman inversion as a regularization method for linear inverse problems. By interpreting ensemble Kalman inversion as a lo…