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Poisson distributed measurements in inverse problems often stem from Poisson point processes that are observed through discretized or finite-resolution detectors, one of the most prominent examples being positron emission tomography (PET).…

Statistics Theory · Mathematics 2024-07-25 Marco Mauritz , Benedikt Wirth

Multi-energy CT takes advantage of the non-linearly varying attenuation properties of elemental media with respect to energy, enabling more precise material identification than single-energy CT. The increased precision comes with the cost…

Medical Physics · Physics 2020-02-14 Jussi Toivanen , Alexander Meaney , Samuli Siltanen , Ville Kolehmainen

Diffusion model has been successfully applied to MRI reconstruction, including single and multi-coil acquisition of MRI data. Simultaneous multi-slice imaging (SMS), as a method for accelerating MR acquisition, can significantly reduce…

Image and Video Processing · Electrical Eng. & Systems 2024-08-22 Ting Zhao , Zhuoxu Cui , Sen Jia , Qingyong Zhu , Congcong Liu , Yihang Zhou , Yanjie Zhu , Dong Liang , Haifeng Wang

With the introduction of very dense sensor arrays in ultrasound (US) imaging, data transfer rate and data storage became a bottleneck in ultrasound system design. To reduce the amount of sampled channel data, we propose to use a low-rank…

Signal Processing · Electrical Eng. & Systems 2018-12-13 Miaomiao Zhang , Ivan Markovsky , Colas Schretter , Jan D'hooge

Microstructure reconstruction has been an essential part of computational material engineering to reveal the relationship between microstructures and material properties. However, finding a general solution for microstructure…

Materials Science · Physics 2023-01-24 Kang-Hyun Lee , Gun Jin Yun

We propose a new algorithmic approach to the non-smooth and non-convex Potts problem (also called piecewise-constant Mumford-Shah problem) for inverse imaging problems. We derive a suitable splitting into specific subproblems that can all…

Optimization and Control · Mathematics 2015-03-03 Martin Storath , Andreas Weinmann , Jürgen Frikel , Michael Unser

This paper presents novel single and multi-shell sampling schemes for diffusion MRI. In diffusion MRI, it is paramount that the number of samples is as small as possible in order that scan times are practical in a clinical setting. The…

Signal Processing · Electrical Eng. & Systems 2019-02-01 Alice P. Bates , Zubair Khalid , Jason D. McEwen , Rodney A. Kennedy , Alessandro Daducci , Erick J. Canales-Rodríguez

Diffusion models have emerged as a leading methodology for image generation and have proven successful in the realm of magnetic resonance imaging (MRI) reconstruction. However, existing reconstruction methods based on diffusion models are…

Computer Vision and Pattern Recognition · Computer Science 2024-04-23 Zhuo-Xu Cui , Chentao Cao , Yue Wang , Sen Jia , Jing Cheng , Xin Liu , Hairong Zheng , Dong Liang , Yanjie Zhu

Magnetic Resonance Imaging (MRI) stands as a powerful modality in clinical diagnosis. However, it is known that MRI faces challenges such as long acquisition time and vulnerability to motion-induced artifacts. Despite the success of many…

Image and Video Processing · Electrical Eng. & Systems 2023-10-17 Lixuan Chen , Xuanyu Tian , Jiangjie Wu , Ruimin Feng , Guoyan Lao , Yuyao Zhang , Hongjiang Wei

Computed tomography (CT) involves a patient's exposure to ionizing radiation. To reduce the radiation dose, we can either lower the X-ray photon count or down-sample projection views. However, either of the ways often compromises image…

Image and Video Processing · Electrical Eng. & Systems 2023-10-12 Wenjun Xia , Yongyi Shi , Chuang Niu , Wenxiang Cong , Ge Wang

This dissertation is devoted to provide advanced nonconvex nonsmooth variational models of (Magnetic Resonance Image) MRI reconstruction, efficient learnable image reconstruction algorithms and parameter training algorithms that improve the…

Optimization and Control · Mathematics 2023-03-06 Wanyu Bian

Diffusion magnetic resonance imaging (MRI) is the only imaging modality for non-invasive movement detection of in vivo water molecules, with significant clinical and research applications. Diffusion weighted imaging (DWI) MRI acquired by…

Deep learning methods for accelerated MRI achieve state-of-the-art results but largely ignore additional speedups possible with noncartesian sampling trajectories. To address this gap, we created a generative diffusion model-based…

Artificial Intelligence · Computer Science 2024-10-02 Trevor J. Chan , Chamith S. Rajapakse

Positron Emission Tomography (PET) is a vital imaging modality widely used in clinical diagnosis and preclinical research but faces limitations in image resolution and signal-to-noise ratio due to inherent physical degradation factors.…

Image and Video Processing · Electrical Eng. & Systems 2024-11-11 Boxiao Yu , Kuang Gong

In this paper we consider the problem of acoustic inversion in the context of the optoacoustic tomography image reconstruction problem. By leveraging the ability of the recently proposed diffusion models for image generative tasks among…

Image and Video Processing · Electrical Eng. & Systems 2024-04-17 M. G. González , M. Vera , A. Dreszman , L. J. Rey Vega

In this work, we address the challenge of multi-task image generation with limited data for denoising diffusion probabilistic models (DDPM), a class of generative models that produce high-quality images by reversing a noisy diffusion…

Machine Learning · Computer Science 2023-11-29 Delaram Pirhayatifard , Mohammad Taha Toghani , Guha Balakrishnan , César A. Uribe

Multi-tracer positron emission tomography (PET) provides critical insights into diverse neuropathological processes such as tau accumulation, neuroinflammation, and $\beta$-amyloid deposition in the brain, making it indispensable for…

Image and Video Processing · Electrical Eng. & Systems 2026-02-26 Minhui Yu , Yongheng Sun , David S. Lalush , Jason P Mihalik , Pew-Thian Yap , Mingxia Liu

Deep learning (DL) techniques have been extensively employed in magnetic resonance imaging (MRI) reconstruction, delivering notable performance enhancements over traditional non-DL methods. Nonetheless, recent studies have identified…

Image and Video Processing · Electrical Eng. & Systems 2025-12-04 Ismail Alkhouri , Shijun Liang , Rongrong Wang , Qing Qu , Saiprasad Ravishankar

Radiation exposure in positron emission tomography (PET) imaging limits its usage in the studies of radiation-sensitive populations, e.g., pregnant women, children, and adults that require longitudinal imaging. Reducing the PET radiotracer…

Image and Video Processing · Electrical Eng. & Systems 2021-07-22 Viswanath P. Sudarshan , Uddeshya Upadhyay , Gary F. Egan , Zhaolin Chen , Suyash P. Awate

Diffusion magnetic resonance imaging datasets suffer from low Signal-to-Noise Ratio, especially at high b-values. Acquiring data at high b-values contains relevant information and is now of great interest for microstructural and…

Computer Vision and Pattern Recognition · Computer Science 2016-06-27 Samuel St-Jean , Pierrick Coupé , Maxime Descoteaux