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We propose the first general framework to automatically correct different types of geometric distortion in a single input image. Our proposed method employs convolutional neural networks (CNNs) trained by using a large synthetic distortion…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Xiaoyu Li , Bo Zhang , Pedro V. Sander , Jing Liao

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 reconstruction method requires the complete knowledge of the…

Numerical Analysis · Mathematics 2016-02-24 Jae Kyu Choi , Bin Dong , Xiaoqun Zhang

This paper is to investigate the high-quality analytical reconstructions of multiple source-translation computed tomography (mSTCT) under an extended field of view (FOV). Under the larger FOVs, the previously proposed backprojection…

Computer Vision and Pattern Recognition · Computer Science 2023-07-13 Zhisheng Wang , Yue Liu , Shunli Wang , Xingyuan Bian , Zongfeng Li , Junning Cui

Reconstructing 3D cone beam computed tomography (CBCT) images from a limited set of projections is an important inverse problem in many imaging applications from medicine to inertial confinement fusion (ICF). The performance of traditional…

Image and Video Processing · Electrical Eng. & Systems 2025-10-06 Xiaojian Xu , Marc Klasky , Michael T. McCann , Jason Hu , Jeffrey A. Fessler

The improvement of computed tomography (CT) image resolution is beneficial to the subsequent medical diagnosis, but it is usually limited by the scanning devices and great expense. Convolutional neural network (CNN)-based methods have…

Medical Physics · Physics 2019-03-26 Chao Tang , Wenkun Zhang , Ziheng Li , Ailong Cai , Linyuan Wang , Lei Li , Ningning Liang , Bin Yan

Convolution and transposed convolution are fundamental operators widely used in neural networks. However, transposed convolution (a.k.a. deconvolution) does not serve as a true inverse of convolution due to inherent differences in their…

Computer Vision and Pattern Recognition · Computer Science 2025-08-18 Xuhong Huang , Shiqi Liu , Kai Zhang , Ying Tai , Jian Yang , Hui Zeng , Lei Zhang

Bayesian inverse problems highly rely on efficient and effective inference methods for uncertainty quantification (UQ). Infinite-dimensional MCMC algorithms, directly defined on function spaces, are robust under refinement of physical…

Computation · Statistics 2019-05-22 Shiwei Lan

Multi-Grid Back-Projection (MGBP) is a fully-convolutional network architecture that can learn to restore images and videos with upscaling artifacts. Using the same strategy of multi-grid partial differential equation (PDE) solvers this…

Image and Video Processing · Electrical Eng. & Systems 2021-01-05 Pablo Navarrete Michelini , Wenbin Chen , Hanwen Liu , Dan Zhu , Xingqun Jiang

Industrial cone-beam X-ray computed tomography (CT) scans of additively manufactured components produce a 3D reconstruction from projection measurements acquired at multiple predetermined rotation angles of the component about a single…

Image and Video Processing · Electrical Eng. & Systems 2024-07-19 Jingsong Lin , Singanallur Venkatakrishnan , Gregery Buzzard , Amir Koushyar Ziabari , Charles Bouman

Reconstructing an image from its Radon transform is a fundamental computed tomography (CT) task arising in applications such as X-ray scans. In many practical scenarios, a full 180-degree scan is not feasible, or there is a desire to reduce…

Computer Vision and Pattern Recognition · Computer Science 2025-02-20 Ilmari Vahteristo , Zhi-Song Liu , Andreas Rupp

Deep learning frameworks commonly implement convolution operators with GEMM-based algorithms. In these algorithms, convolution is implemented on top of matrix-matrix multiplication (GEMM) functions, provided by highly optimized BLAS…

Computer Vision and Pattern Recognition · Computer Science 2019-07-05 Marat Dukhan

Flat-panel cone-beam CT (CBCT) has been applied clinically in a number of high-resolution applications. Increasing geometric magnification can potentially improve resolution, but also increases blur due to an extended x-ray focal-spot. We…

Medical Physics · Physics 2016-10-18 Steven Tilley , Wojciech Zbijewski , Jeffrey H. Siewerdsen , J. Webster Stayman

While Bayesian inference provides a principled framework for reasoning under uncertainty, its widespread adoption is limited by the intractability of exact posterior computation, necessitating the use of approximate inference. However,…

Machine Learning · Statistics 2026-05-19 George Whittle , Juliusz Ziomek , Jacob Rawling , Maike A. Osborne

Cone beam computed tomography (CBCT) is an important imaging technology widely used in medical scenarios, such as diagnosis and preoperative planning. Using fewer projection views to reconstruct CT, also known as sparse-view reconstruction,…

Image and Video Processing · Electrical Eng. & Systems 2024-06-07 Yiqun Lin , Jiewen Yang , Hualiang Wang , Xinpeng Ding , Wei Zhao , Xiaomeng Li

The Circumcentered Reflection Method (CRM) is a recently developed projection method for solving convex feasibility problems. It offers preferable convergence properties compared to classic methods such as the Douglas-Rachford and the…

Optimization and Control · Mathematics 2024-12-03 Hongzhi Liao

High radiation dose in computed tomography (CT) scans increases the lifetime risk of cancer, which become a major clinical concern. The backprojection-filtration (BPF) algorithm could reduce radiation dose by reconstructing images from…

Medical Physics · Physics 2013-11-20 Yan Bin , Deng Lin , Han Yu , Zhang Feng , Wang Xian Chao , Li Lei

In the context of large-angle cone-beam tomography (CBCT), we present a practical iterative reconstruction (IR) scheme designed for rapid convergence as required for large datasets. The robustness of the reconstruction is provided by the…

Cone beam computed tomography (CBCT) is an emerging medical imaging technique to visualize the internal anatomical structures of patients. During a CBCT scan, several projection images of different angles or views are collectively utilized…

Image and Video Processing · Electrical Eng. & Systems 2024-01-18 Heejun Shin , Taehee Kim , Jongho Lee , Se Young Chun , Seungryung Cho , Dongmyung Shin

X-ray phase-contrast imaging has the potential to improve image contrast with lower dose by probing an object's refractive properties as well as its absorptive properties. To reconstruct a phase-contrast image from a raw dataset, a phase…

Medical Physics · Physics 2025-08-19 Giavanna Jadick , Patrick La Rivière

We tackle the task of synthesizing novel views of an object given a few input images and associated camera viewpoints. Our work is inspired by recent 'geometry-free' approaches where multi-view images are encoded as a (global) set-latent…

Computer Vision and Pattern Recognition · Computer Science 2023-01-12 Naveen Venkat , Mayank Agarwal , Maneesh Singh , Shubham Tulsiani