51 citations · 157 across the 25 of their papers we have counts for
8 papers · 1 filter
Approximate Primal-Dual Fixed-Point based Langevin Algorithms for Non-smooth Convex Potentials
Ziruo Cai, Jinglai Li, Xiaoqun Zhang
The Langevin algorithms are frequently used to sample the posterior distributions in Bayesian inference. In many practical problems, however, the posterior distributions often cons…
On the convergence of continuous and discrete unbalanced optimal transport models
Zhe Xiong, Lei Li, Ya-Nan Zhu +1
We consider a Beckmann formulation of an unbalanced optimal transport (UOT) problem. The -convergence of this formulation of UOT to the corresponding optimal transport (OT) prob…
Bayesian inference and uncertainty quantification for image reconstruction with Poisson data
Qingping Zhou, Tengchao Yu, Xiaoqun Zhang +1
We provide a complete framework for performing infinite-dimensional Bayesian inference and uncertainty quantification for image reconstruction with Poisson data. In particular, we…
Dynamic SPECT reconstruction with temporal edge correlation
Qiaoqiao Ding, Martin Burger, Xiaoqun Zhang
In dynamic imaging, a key challenge is to reconstruct image sequences with high temporal resolution from strong undersampling projections due to a relatively slow data acquisition…
PET-MRI Joint Reconstruction by Joint Sparsity Based Tight Frame Regularization
Jae Kyu Choi, Chenglong Bao, Xiaoqun Zhang
Recent technical advances lead to the coupling of PET and MRI scanners, enabling to acquire functional and anatomical data simultaneously. In this paper, we propose a tight frame b…
An Edge Driven Wavelet Frame Model for Image Restoration
Jae Kyu Choi, Bin Dong, Xiaoqun Zhang
Wavelet frame systems are known to be effective in capturing singularities from noisy and degraded images. In this paper, we introduce a new edge driven wavelet frame model for ima…
Simultaneous Reconstruction and Segmentation for Dynamic SPECT Imaging
Martin Burger, Carolin Rossmanith, Xiaoqun Zhang
This work deals with the reconstruction of dynamic images that incorporate characteristic dynamics in certain subregions, as arising for the kinetics of many tracers in emission to…
Limited Tomography Reconstruction via Tight Frame and Sinogram Extrapolation
Jae Kyu Choi, Bin Dong, Xiaoqun Zhang
X-ray computed tomography (CT) is one of widely used diagnostic tools for medical and dental tomographic imaging of the human body. However, the standard filtered backprojection re…