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20122026
most citedHow little data is enough? Phase-diagram analysis of sparsity-regularized X-ray CT

83 citations · 289 across the 18 of their papers we have counts for

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8 papers · 1 filter

math.NA2023★ 11 cited

CUQIpy: II. Computational uncertainty quantification for PDE-based inverse problems in Python

Amal M A Alghamdi, Nicolai A B Riis, Babak M Afkham +4

Inverse problems, particularly those governed by Partial Differential Equations (PDEs), are prevalent in various scientific and engineering applications, and uncertainty quantifica…

math.NA2023★ 13 cited

CUQIpy: I. Computational uncertainty quantification for inverse problems in Python

Nicolai A B Riis, Amal M A Alghamdi, Felipe Uribe +4

This paper introduces CUQIpy, a versatile open-source Python package for computational uncertainty quantification (UQ) in inverse problems, presented as Part I of a two-part series…

math.NA2022

Low-rank flat-field correction for artifact reduction in spectral computed tomography

Katrine O Bangsgaard, Genoveva Burca, Evelina Ametova +2

Spectral computed tomography has received considerable interest in recent years since spectral measurements contain much richer information about the object of interest. In spectra…

math.NA2022

A Bayesian Approach to CT Reconstruction with Uncertain Geometry

Frederik H. Pedersen, Jakob S. Jørgensen, Martin S. Andersen

Computed tomography is a method for synthesizing volumetric or cross-sectional images of an object from a collection of projections. Popular reconstruction methods for computed tom…

math.NA2022

Structural Gaussian Priors for Bayesian CT reconstruction of Subsea Pipes

Silja L. Christensen, Nicolai A. B. Riis, Felipe Uribe +1

A non-destructive testing (NDT) application of X-ray computed tomography (CT) is inspection of subsea pipes in operation via 2D cross-sectional scans. Data acquisition is time-cons…

math.NA2021

Stopping Rules for Algebraic Iterative Reconstruction Methods in Computed Tomography

Per Christian Hansen, Jakob Sauer Jørgensen, Peter Winkel Rasmussen

Algebraic models for the reconstruction problem in X-ray computed tomography (CT) provide a flexible framework that applies to many measurement geometries. For large-scale problems…

math.NA2015

Noise Robustness of a Combined Phase Retrieval and Reconstruction Method for Phase-Contrast Tomography

Rasmus Dalgas Kongskov, Jakob Sauer Jørgensen, Henning Friis Poulsen +1

Classical reconstruction methods for phase-contrast tomography consist of two stages: phase retrieval and tomographic reconstruction. A novel algebraic method combining the two was…

math.NA2012★ 3 cited

Empirical average-case relation between undersampling and sparsity in x-ray CT

Jakob S. Jørgensen, Emil Y. Sidky, Per Christian Hansen +1

In x-ray computed tomography (CT) it is generally acknowledged that reconstruction methods exploiting image sparsity allow reconstruction from a significantly reduced number of pro…