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20122023
most citedDirectional Total Generalized Variation Regularization

6 citations · 13 across the 13 of their papers we have counts for

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6 papers · 1 filter

math.NA2023

Inferring Object Boundaries and their Roughness with Uncertainty Quantification

Babak Maboudi Afkham, Nicolai André Brogaard Riis, Yiqiu Dong +1

This work describes a Bayesian framework for reconstructing the boundaries that represent targeted features in an image, as well as the regularity (i.e., roughness vs. smoothness)…

math.NA2021

Uncertainty Quantification of Inclusion Boundaries in the Context of X-ray Tomography

Babak Maboudi Afkham, Yiqiu Dong, Per Christian Hansen

In this work, we describe a Bayesian framework for reconstructing the boundaries of piecewise smooth regions in the X-ray computed tomography (CT) problem in an infinite-dimensiona…

math.NA2019

Fixing Nonconvergence of Algebraic Iterative Reconstruction with an Unmatched Backprojector

Yiqiu Dong, Per Christian Hansen, Michiel E. Hochstenbach +1

We consider algebraic iterative reconstruction methods with applications in image reconstruction. In particular, we are concerned with methods based on an unmatched projector/backp…

math.NA2018

Tomographic Reconstruction with Spatially Varying Parameter Selection

Yiqiu Dong, Carola-Bibiane Schönlieb

In this paper we propose a new approach for tomographic reconstruction with spatially varying regularization parameter. Our work is based on the SA-TV image restoration model propo…

math.NA2017★ 6 cited

Directional Total Generalized Variation Regularization

Rasmus Dalgas Kongskov, Yiqiu Dong, Kim Knudsen

In inverse problems, prior information and a priori-based regularization techniques play important roles. In this paper, we focus on image restoration problems, especially on resto…

math.NA2016★ 4 cited

Bregman Cost for Non-Gaussian Noise

Martin Burger, Yiqiu Dong, Federica Sciacchitano

One of the tasks of the Bayesian inverse problem is to find a good estimate based on the posterior probability density. The most common point estimators are the conditional mean (C…