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Alternating projection onto convex sets (POCS) provides an iterative procedure to find a signal that satisfies two or more convex constraints when the sets intersect. For nonintersecting constraints, the method of simultaneous projections…

图像与视频处理 · 电气工程与系统科学 2026-02-19 Albert R. Yu , Robert J. Marks , Keith E. Schubert , Charles Baylis , Austin Egbert , Adam Goad , Sam Haug

We consider the problem of signal reconstruction for computed tomography (CT) under a nonlinear forward model that accounts for exponential signal attenuation, a polychromatic X-ray source, general measurement noise (e.g., Poisson shot…

图像与视频处理 · 电气工程与系统科学 2026-02-12 Mengqi Lou , Kabir Aladin Verchand , Sara Fridovich-Keil , Ashwin Pananjady

Uniqueness of solution is proved for any ptychographic scheme with a random masks under a minimum overlap condition and local geometric convergence analysis is given for the alternating projection (AP) and Douglas-Rachford (DR) algorithms.…

数值分析 · 数学 2018-02-14 Pengwen Chen , Albert Fannjiang

Photoacoustic tomography is an emerging medical imaging technology whose primary aim is to map the high-contrast optical properties of biological tissues by leveraging high-resolution ultrasound measurements. Mathematically, this can be…

偏微分方程分析 · 数学 2025-02-14 Alessandro Felisi

Ptychography is a lensless imaging method that allows for wavefront sensing and phase-sensitive microscopy from a set of diffraction patterns. Recently, it has been shown that the optimization task in ptychography can be achieved via…

图像与视频处理 · 电气工程与系统科学 2021-01-13 Jacob Seifert , Dorian Bouchet , Lars Loetgering , Allard P. Mosk

Tilting planar samples for multi-zone-axes observation is a routine procedure in electron microscopy. However, this process invariably introduces optical path differences in the electron beam across different sample positions, significantly…

材料科学 · 物理学 2024-08-22 Jizhe Cui , Yi Zheng , Kang Sun , Wenfeng Yang , Haozhi Sha , Rong Yu

Conventional tomographic reconstruction algorithms assume that one has obtained pure projection images, involving no within-specimen diffraction effects nor multiple scattering. Advances in x-ray nanotomography are leading towards the…

图像与视频处理 · 电气工程与系统科学 2020-12-23 Ming Du , Youssef S. G. Nashed , Saugat Kandel , Doga Gursoy , Chris Jacobsen

In tomographic reconstruction, the goal is to reconstruct an unknown object from a collection of line integrals. Given a complete sampling of such line integrals for various angles and directions, explicit inverse formulas exist to…

数值分析 · 数学 2018-01-18 Tristan van Leeuwen , Simon Maretzke , K. Joost Batenburg

Imaging of biological cells and tissues often relies on fluorescent labels, which offer high contrast with molecular specificity. The use of exogenous labeling agents, however, may alter the normal physiology of the bio-specimens.…

仪器与探测器 · 物理学 2019-10-01 Zichao Bian , Shaowei Jiang , Pengming Song , He Zhang , Pouria Hoveida , Kazunori Hoshino , Guoan Zheng

Ever brighter light sources, fast parallel detectors, and advances in phase retrieval methods, have made ptychography a practical and popular imaging technique. Compared to previous techniques, ptychography provides superior robustness and…

This paper presents a variational based approach to fusing hyperspectral and multispectral images. The fusion process is formulated as an inverse problem whose solution is the target image assumed to live in a much lower dimensional…

计算机视觉与模式识别 · 计算机科学 2023-07-19 Qi Wei , José Bioucas-Dias , Nicolas Dobigeon , Jean-Yves Tourneret

Ptychography provides highly efficient imaging in scanning transmission electron microscopy (STEM), but questions have remained over its applicability to strongly scattering samples such as those most commonly seen in materialsscience.…

应用物理 · 物理学 2022-09-07 C. Gao , C. Hofer , D. Jannis , A. Béché , J. Verbeeck , T. J. Pennycook

Plasma diagnostics often employ computerized tomography to estimate emissivity profiles from a finite, and often limited, number of line-integrated measurements. Decades of algorithmic refinement have brought considerable improvements, and…

等离子体物理 · 物理学 2026-03-12 D. Hamm , C. Theiler , M. Simeoni , B. P. Duval , T. Debarre , L. Simons , J. R. Queralt

Many signal processing algorithms break the target signal into overlapping segments (also called windows, or patches), process them separately, and then stitch them back into place to produce a unified output. At the overlaps, the final…

信号处理 · 电气工程与系统科学 2021-03-15 Ignacio Francisco Ramírez Paulino

Prior panorama stitching approaches heavily rely on pairwise feature correspondences and are unable to leverage geometric consistency across multiple views. This leads to severe distortion and misalignment, especially in challenging scenes…

计算机视觉与模式识别 · 计算机科学 2026-03-13 Zhengdong Zhu , Weiyi Xue , Zuyuan Yang , Wenlve Zhou , Zhiheng Zhou

Existing approaches to image reconstruction in photoacoustic computed tomography (PACT) with acoustically heterogeneous media are limited to weakly varying media, are computationally burdensome, and/or cannot effectively mitigate the…

医学物理 · 物理学 2013-03-25 Chao Huang , Kun Wang , Liming Nie , Lihong V. Wang , Mark A. Anastasio

Reconstructing medical images from partial measurements is an important inverse problem in Computed Tomography (CT) and Magnetic Resonance Imaging (MRI). Existing solutions based on machine learning typically train a model to directly map…

图像与视频处理 · 电气工程与系统科学 2022-06-17 Yang Song , Liyue Shen , Lei Xing , Stefano Ermon

X-ray tomography is capable of imaging the interior of objects in three dimensions non-invasively, with applications in biomedical imaging, materials science, electronic inspection, and other fields. The reconstruction process can be an…

图像与视频处理 · 电气工程与系统科学 2022-06-22 Zhen Guo , Jung Ki Song , George Barbastathis , Michael E. Glinsky , Courtenay T. Vaughan , Kurt W. Larson , Bradley K. Alpert , Zachary H. Levine

We use convolutional neural networks to recover images optically down-sampled by $6.7\times$ using coherent aperture synthesis over a 16 camera array. Where conventional ptychography relies on scanning and oversampling, here we apply…

图像与视频处理 · 电气工程与系统科学 2022-02-09 Chengyu Wang , Minghao Hu , Yuzuru Takashima , Timothy J. Schulz , David J. Brady

Electron ptychography describes a family of algorithms which are used to enable the reconstruction of complex specimen transmission functions of a sample in order to obtain both phase and amplitude information, as applied within the realms…

光学 · 物理学 2025-03-17 L. Clark , P. D. Nellist