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Iterative algorithms have many advantages for linear tomographic image reconstruction when compared to back-projection based methods. However, iterative methods tend to have significantly higher computational complexity. To overcome this,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-29 Yushan Gao , Ander Biguri , Thomas Blumensath

MRI is an indispensable clinical tool, offering a rich variety of tissue contrasts to support broad diagnostic and research applications. Clinical exams routinely acquire multiple structural sequences that provide complementary information…

Image and Video Processing · Electrical Eng. & Systems 2025-10-03 Tolga Çukur , Salman U. H. Dar , Valiyeh Ansarian Nezhad , Yohan Jun , Tae Hyung Kim , Shohei Fujita , Berkin Bilgic

We propose a differentiable sphere tracing algorithm to bridge the gap between inverse graphics methods and the recently proposed deep learning based implicit signed distance function. Due to the nature of the implicit function, the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Shaohui Liu , Yinda Zhang , Songyou Peng , Boxin Shi , Marc Pollefeys , Zhaopeng Cui

From a single image, humans are able to perceive the full 3D shape of an object by exploiting learned shape priors from everyday life. Contemporary single-image 3D reconstruction algorithms aim to solve this task in a similar fashion, but…

Computer Vision and Pattern Recognition · Computer Science 2018-12-31 Xiuming Zhang , Zhoutong Zhang , Chengkai Zhang , Joshua B. Tenenbaum , William T. Freeman , Jiajun Wu

This work is concerned with applying iterative image reconstruction, based on constrained total-variation minimization, to low-intensity X-ray CT systems that have a high sampling rate. Such systems pose a challenge for iterative image…

Medical Physics · Physics 2016-11-17 Emil Y. Sidky , Rick Chartrand , Yuval Duchin , Christer Ullberg , Xiaochuan Pan

Accurate multi-slice reconstruction from limited measurement data is crucial to speed up the acquisition process in medical and scientific imaging. However, it remains challenging due to the ill-posed nature of the problem and the high…

Image and Video Processing · Electrical Eng. & Systems 2025-12-09 Laurentius Valdy , Richard D. Paul , Alessio Quercia , Zhuo Cao , Xuan Zhao , Hanno Scharr , Arya Bangun

Atomic-resolution imaging with scanning transmission electron microscopy is a powerful tool for characterizing the nanoscale structure of materials, in particular features such as defects, local strains, and symmetry-breaking distortions.…

Parameter reduction can enable otherwise infeasible design and uncertainty studies with modern computational science models that contain several input parameters. In statistical regression, techniques for sufficient dimension reduction…

Numerical Analysis · Mathematics 2018-12-12 Andrew T. Glaws , Paul G. Constantine , R. Dennis Cook

Tomography deals with the reconstruction of objects from their projections, acquired along a range of angles. Discrete tomography is concerned with objects that consist of a small number of materials, which makes it possible to compute…

Computer Vision and Pattern Recognition · Computer Science 2020-09-07 Mathé Zeegers , Felix Lucka , Kees Joost Batenburg

We introduce FB-LISA, a forward-backward (FB) generalization of a recently proposed line-search-based stochastic gradient algorithm to address the imaging problem of volumetric reconstruction in Computed Tomography, a substantially high…

Numerical Analysis · Mathematics 2026-05-13 Tatiana A. Bubba , Elena Morotti , Federica Porta , Valeria Ruggiero , Ilaria Trombini

Radio-frequency (RF) tomographic imaging is a promising technique for inferring multi-dimensional physical space by processing RF signals traversed across a region of interest. However, conventional RF tomography schemes are generally based…

Information Theory · Computer Science 2017-12-19 Tao Deng , Xiao-Yang Liu , Feng Qian , Anwar Walid

Realistic microscale domains are an essential step towards making modern multiscale simulations more applicable to computational materials engineering. For this purpose, 3D computed tomography scans can be very expensive or technically…

Suppressing the interference of atmospheric turbulence and obtaining observation data with a high spatial resolution is an issue to be solved urgently for ground observations. One way to solve this problem is to perform a statistical…

Instrumentation and Methods for Astrophysics · Physics 2022-07-04 Hui Liu , Zhenyu Jin , Yongyuan Xiang , Kaifan Ji

As Computed Tomography (CT) scans are an essential medical test, many techniques have been proposed to reconstruct high-quality images using a smaller amount of radiation. One approach is to employ algebraic factorization methods to…

Image and Video Processing · Electrical Eng. & Systems 2019-07-04 Mónica Chillarón , Gregorio Quintana-Ortí , Vicente Vidal , Gumersindo Verdú

Quantum computing is a promising technology that accelerates the partial differential equations solver for practical problems. The reconstruction of solutions (i.e., the readout of quantum states) remains a crucial problem, although…

Quantum Physics · Physics 2025-11-26 Xinchi Huang , Hirofumi Nishi , Yoshifumi Kawada , Tomofumi Zushi , Yu-ichiro Matsushita

Single image super-resolution (SISR) is the task of inferring a high-resolution image from a single low-resolution image. Recent research on super-resolution has achieved great progress due to the development of deep convolutional neural…

Image and Video Processing · Electrical Eng. & Systems 2019-11-22 Zhengyang Lu , Ying Chen

Radio interferometry invariably suffers from an incomplete coverage of the spatial Fourier space, which leads to imaging artifacts. The current state-of-the-art technique is to create an image by Fourier-transforming the incomplete…

Instrumentation and Methods for Astrophysics · Physics 2024-12-19 F. Geyer , K. Schmidt , J. Kummer , M. Brüggen , H. W. Edler , D. Elsässer , F. Griese , A. Poggenpohl , L. Rustige , W. Rhode

Computed Tomography (CT) enables detailed cross-sectional imaging but continues to face challenges in balancing reconstruction quality and computational efficiency. While deep learning-based methods have significantly improved image quality…

Image and Video Processing · Electrical Eng. & Systems 2025-10-23 Shaokai Wu , Yuxiang Lu , Yapan Guo , Wei Ji , Suizhi Huang , Fengyu Yang , Shalayiding Sirejiding , Qichen He , Jing Tong , Yanbiao Ji , Yue Ding , Hongtao Lu

This paper presents several new algorithms for the regularized reconstruction of a surface from its measured gradient field. By taking a matrix-algebraic approach, we establish general framework for the regularized reconstruction problem…

Numerical Analysis · Mathematics 2013-08-21 Matthew Harker , Paul O'Leary

Limited-angle electron tomography aims to reconstruct 3D shapes from 2D projections of Transmission Electron Microscopy (TEM) within a restricted range and number of tilting angles, but it suffers from the missing-wedge problem that causes…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Zhantao Deng , Mériem Er-Rafik , Anna Sushko , Cécile Hébert , Pascal Fua