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Magnetic resonance imaging (MRI) is an essential diagnostic tool that suffers from prolonged scan times. Reconstruction methods can alleviate this limitation by recovering clinically usable images from accelerated acquisitions. In…

Image and Video Processing · Electrical Eng. & Systems 2023-01-09 Salman UH Dar , Şaban Öztürk , Muzaffer Özbey , Tolga Çukur

The reconstruction of dynamic positron emission tomography (PET) images from noisy projection data is a significant but challenging problem. In this paper, we introduce an unsupervised learning approach, Non-negative Implicit Neural…

Computer Vision and Pattern Recognition · Computer Science 2025-06-25 Chaozhi Zhang , Wenxiang Ding , Roy Y. He , Xiaoqun Zhang , Qiaoqiao Ding

The nuclear norm is widely used as a convex surrogate of the rank function in compressive sensing for low rank matrix recovery with its applications in image recovery and signal processing. However, solving the nuclear norm based relaxed…

Machine Learning · Computer Science 2016-01-20 Canyi Lu , Jinhui Tang , Shuicheng Yan , Zhouchen Lin

The low-rank plus sparse (L+S) decomposition model has enabled better reconstruction of dynamic magnetic resonance imaging (dMRI) with separation into background (L) and dynamic (S) component. However, use of low-rank prior alone may not…

Image and Video Processing · Electrical Eng. & Systems 2024-12-30 Chee-Ming Ting , Fuad Noman , Raphaël C. -W. Phan , Hernando Ombao

Objective: Non-rigid image registration with high accuracy and efficiency is still a challenging task for medical image analysis. In this work, we present the spatially region-weighted correlation ratio (SRWCR) as a novel similarity measure…

Methodology · Statistics 2018-04-17 Lun Gong , Cheng Zhang , Luwen Duan , Xueying Du , Hanqiu Liu , Xinjian Chen , Jian Zheng

Diffusion MRI affords valuable insights into white matter microstructures, but suffers from low signal-to-noise ratio (SNR), especially at high diffusion weighting (i.e., b-value). To avoid time-intensive repeated acquisition,…

Medical Physics · Physics 2018-07-26 Geng Chen , Yafeng Wu , Dinggang Shen , Pew-Thian Yap

Remote sensing image restoration aims to reconstruct missing or corrupted areas within images. To date, low-rank based models have garnered significant interest in this field. This paper proposes a novel low-rank regularization term, named…

Image and Video Processing · Electrical Eng. & Systems 2024-12-17 Shuang Xu , Chang Yu , Jiangjun Peng , Xiangyong Cao , Deyu Meng

Optimizing k-space sampling trajectories is a promising yet challenging topic for fast magnetic resonance imaging (MRI). This work proposes to optimize a reconstruction method and sampling trajectories jointly concerning image…

Signal Processing · Electrical Eng. & Systems 2022-04-15 Guanhua Wang , Tianrui Luo , Jon-Fredrik Nielsen , Douglas C. Noll , Jeffrey A. Fessler

Parametric spatial transformation models have been successfully applied to image registration tasks. In such models, the transformation of interest is parameterized by a fixed set of basis functions as for example B-splines. Each basis…

Computer Vision and Pattern Recognition · Computer Science 2019-06-25 Robin Sandkühler , Simon Andermatt , Grzegorz Bauman , Sylvia Nyilas , Christoph Jud , Philippe C. Cattin

We propose PR-RRN, a novel neural-network based method for Non-rigid Structure-from-Motion (NRSfM). PR-RRN consists of Residual-Recursive Networks (RRN) and two extra regularization losses. RRN is designed to effectively recover 3D shape…

Computer Vision and Pattern Recognition · Computer Science 2021-08-18 Haitian Zeng , Yuchao Dai , Xin Yu , Xiaohan Wang , Yi Yang

Emerging unsupervised implicit neural representation (INR) methods, such as NeRP, NeAT, and SCOPE, have shown great potential to address sparse-view computed tomography (SVCT) inverse problems. Although these INR-based methods perform well…

Image and Video Processing · Electrical Eng. & Systems 2025-02-11 Xuanyu Tian , Lixuan Chen , Qing Wu , Chenhe Du , Jingjing Shi , Hongjiang Wei , Yuyao Zhang

Recent works on adaptive sparse and on low-rank signal modeling have demonstrated their usefulness in various image / video processing applications. Patch-based methods exploit local patch sparsity, whereas other works apply low-rankness of…

Computer Vision and Pattern Recognition · Computer Science 2018-08-07 Bihan Wen , Yanjun Li , Yoram Bresler

Positron Emission Tomography and Magnetic Resonance Imaging (PET-MRI) systems can obtain functional and anatomical scans. PET suffers from a low signal-to-noise ratio. Meanwhile, the k-space data acquisition process in MRI is…

Image and Video Processing · Electrical Eng. & Systems 2024-07-12 Taofeng Xie , Zhuo-Xu Cui , Chen Luo , Huayu Wang , Congcong Liu , Yuanzhi Zhang , Xuemei Wang , Yanjie Zhu , Guoqing Chen , Dong Liang , Qiyu Jin , Yihang Zhou , Haifeng Wang

In this article, we propose a novel regularization method for a class of nonlinear inverse problems that is inspired by an application in quantitative magnetic resonance imaging (qMRI). The latter is a special instance of a general…

Optimization and Control · Mathematics 2025-06-16 Guozhi Dong , Michael Hintermüller , Clemens Sirotenko

Text-driven diffusion models have become increasingly popular for various image editing tasks, including inpainting, stylization, and object replacement. However, it still remains an open research problem to adopt this language-vision…

Computer Vision and Pattern Recognition · Computer Science 2024-07-17 Chenyang Qi , Zhengzhong Tu , Keren Ye , Mauricio Delbracio , Peyman Milanfar , Qifeng Chen , Hossein Talebi

Recently, the Magnetic Resonance Imaging (MRI) images have limited and unsatisfactory resolutions due to various constraints such as physical, technological and economic considerations. Super-resolution techniques can obtain high-resolution…

Computer Vision and Pattern Recognition · Computer Science 2019-02-14 Yinghua Li , Bin Song , Jie Guo , Xiaojiang Du , Mohsen Guizani

The combination of the sparse sampling and the low-rank structured matrix reconstruction has shown promising performance, enabling a significant reduction of the magnetic resonance imaging data acquisition time. However, the low-rank…

Image and Video Processing · Electrical Eng. & Systems 2021-07-27 Xinlin Zhang , Hengfa Lu , Di Guo , Zongying Lai , Huihui Ye , Xi Peng , Bo Zhao , Xiaobo Qu

The iterative refinement method (IRM) has been very successfully applied in many different fields for examples the modern quantum chemical calculation and CT image reconstruction. It is proved that the refinement method can create an exact…

Medical Physics · Physics 2015-12-23 Kang Yang , Kevin Yang , Xintie Yang , Shuang-Ren Zhao

Parallel imaging is a commonly used technique to accelerate magnetic resonance imaging (MRI) data acquisition. Mathematically, parallel MRI reconstruction can be formulated as an inverse problem relating the sparsely sampled k-space…

Image and Video Processing · Electrical Eng. & Systems 2023-11-23 Ruimin Feng , Qing Wu , Jie Feng , Huajun She , Chunlei Liu , Yuyao Zhang , Hongjiang Wei

MR data are acquired in the frequency domain, known as k-space. Acquiring high-quality and high-resolution MR images can be time-consuming, posing a significant challenge when multiple sequences providing complementary contrast information…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Georgia Kanli , Daniele Perlo , Selma Boudissa , Radovan Jirik , Olivier Keunen