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We consider X-ray coherent scatter imaging, where the goal is to reconstruct momentum transfer profiles (spectral distributions) at each spatial location from multiplexed measurements of scatter. Each material is characterized by a unique…

We explore a scaled spectral preconditioner for the efficient solution of sequences of symmetric and positive-definite linear systems. We design the scaled preconditioner not only as an approximation of the inverse of the linear system but…

Numerical Analysis · Mathematics 2024-10-04 Youssef Diouane , Selime Gürol , Oussama Mouhtal , Dominique Orban

Multi-source stationary computed tomography (CT) has recently attracted attention for its ability to achieve rapid image reconstruction, making it suitable for time-sensitive clinical and industrial applications. However, practical systems…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Jiancheng Fang , Shaoyu Wang , Junlin Wang , Weiwen Wu , Yikun Zhang , Qiegen Liu

To guide surgical and medical treatment X-ray images have been used by physicians in every modern healthcare organization and hospitals. Doctor's evaluation process and disease identification in the area of skeletal system can be performed…

Computer Vision and Pattern Recognition · Computer Science 2019-05-22 Rafsanjany Kushol , Md. Nishat Raihan , Md Sirajus Salekin , A. B. M. Ashikur Rahman

Dual-energy CT (DECT) has been increasingly used in imaging applications because of its capability for material differentiation. However, material decomposition suffers from magnified noise from two CT images of independent scans, leading…

Medical Physics · Physics 2019-06-19 Wenkun Zhang , Hanming Zhang , Linyuan Wang , Xiaohui Wang , Ailong Cai , Lei Li , Tianye Niu , Bin Yan

By acquiring two sets of tomographic measurements at distinct X-ray spectra, the dual-energy CT (DECT) enables quantitative material-specific imaging. However, the conventionally decomposed material basis images may encounter severe image…

In this work, we compare one-step and two-step approaches for X-ray computed tomography (CT) scatter correction and density reconstruction. X-ray CT is an important imaging technique in medical and industrial applications. In many cases,…

Image and Video Processing · Electrical Eng. & Systems 2023-01-11 Alexander N. Sietsema , Michael T. McCann , Marc L. Klasky , Saiprasad Ravishankar

Computed Tomography (CT) is a widely used technology that requires compute-intense algorithms for image reconstruction. We propose a novel back-projection algorithm that reduces the projection computation cost to 1/6 of the standard…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-09 Peng Chen , Mohamed Wahib , Shinichiro Takizawa , Ryousei Takano , Satoshi Matsuoka

Multi-energy computed tomography (ME-CT) is an x-ray transmission imaging technique that uses the energy dependence of x-ray photon attenuation to determine the elemental composition of an object of interest. Mathematically, forward ME-CT…

Medical Physics · Physics 2022-02-16 Guillaume Bal , Ruoming Gong , Fatma Terzioglu

Diffusion models have shown great promise in medical image denoising and reconstruction, but their application to Positron Emission Tomography (PET) imaging remains limited by tracer-specific contrast variability and high computational…

Image and Video Processing · Electrical Eng. & Systems 2026-02-03 Fumio Hashimoto , Kuang Gong

Metasurfaces -- ultrathin structures composed of subwavelength optical elements -- have revolutionized light manipulation by enabling precise control over electromagnetic waves' amplitude, phase, polarization, and spectral properties.…

Optics · Physics 2024-11-15 Charles Roques-Carmes , Kai Wang , Yuanmu Yang , Arka Majumdar , Zin Lin

Uncompressed clinical data from modern positron emission tomography (PET) scanners are very large, exceeding 350 million data points (projection bins). The last decades have seen tremendous advancements in mathematical imaging tools many of…

Medical Physics · Physics 2020-01-08 Matthias J. Ehrhardt , Pawel Markiewicz , Carola-Bibiane Schönlieb

Computed tomography (CT) is widely utilized in clinical settings because it delivers detailed 3D images of the human body. However, performing CT scans is not always feasible due to radiation exposure and limitations in certain surgical…

Image and Video Processing · Electrical Eng. & Systems 2024-07-19 Xuhui Liu , Zhi Qiao , Runkun Liu , Hong Li , Juan Zhang , Xiantong Zhen , Zhen Qian , Baochang Zhang

This study explores a workflow for automated segmentation of lesions in FDG and PSMA PET/CT images. Due to the substantial differences in image characteristics between FDG and PSMA, specialized preprocessing steps are required. Utilizing…

Computer Vision and Pattern Recognition · Computer Science 2024-09-17 Qiaoyi Xue , Youdan Feng , Jiayi Liu , Tianming Xu , Kaixin Shen , Chuyun Shen , Yuhang Shi

Accurate histological differentiation between adenocarcinoma (ADC) and squamous cell carcinoma (SCC) is critical for personalized treatment in non-small cell lung cancer (NSCLC). While [$^{18}$F]FDG PET/CT is a standard tool for the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Fatih Aksu , Laura Ciuffetti , Francesco Di Feola , Filippo Ruffini , Giulia Romoli , Fabrizia Gelardi , Arturo Chiti , Valerio Guarrasi , Paolo Soda

Solving optimization problems with transient PDE-constraints is computationally costly due to the number of nonlinear iterations and the cost of solving large-scale KKT matrices. These matrices scale with the size of the spatial…

Numerical Analysis · Mathematics 2023-05-09 Eric C. Cyr

This study aims to improve photon counting CT (PCCT) image resolution using denoising diffusion probabilistic models (DDPM). Although DDPMs have shown superior performance when applied to various computer vision tasks, their effectiveness…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Chuang Niu , Christopher Wiedeman , Mengzhou Li , Jonathan S Maltz , Ge Wang

We present a tomographic imaging technique, termed Deep Prior Diffraction Tomography (DP-DT), to reconstruct the 3D refractive index (RI) of thick biological samples at high resolution from a sequence of low-resolution images collected…

Image and Video Processing · Electrical Eng. & Systems 2021-11-18 Kevin C. Zhou , Roarke Horstmeyer

The efficient solution of moderately large-scale linear systems arising from the KKT conditions in optimal control problems (OCPs) is a critical challenge in robotics. With the stagnation of Moore's law, there is growing interest in…

Optimization and Control · Mathematics 2025-05-21 Shaohui Yang , Toshiyuki Ohtsuka , Brian Plancher , Colin N. Jones

Cardiac computed tomography (CT) has emerged as a major imaging modality for the diagnosis and monitoring of cardiovascular diseases. High temporal resolution is essential to ensure diagnostic accuracy. Limited-angle data acquisition can…

Image and Video Processing · Electrical Eng. & Systems 2025-03-12 Shuo Han , Yongshun Xu , Dayang Wang , Bahareh Morovati , Li Zhou , Jonathan S. Maltz , Ge Wang , Hengyong Yu