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Related papers: A Message-Passing Perspective on Ptychographic Pha…

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A method for photoacoustic tomography is presented that uses circular integrals of the acoustic wave for the reconstruction of a three-dimensional image. Image reconstruction is a two-step process: In the first step data from a stack of…

Numerical Analysis · Mathematics 2009-12-06 G. Zangerl , O. Scherzer , M. Haltmeier

Deconvolution of astronomical images is a key aspect of recovering the intrinsic properties of celestial objects, especially when considering ground-based observations. This paper explores the use of diffusion models (DMs) and the Diffusion…

Instrumentation and Methods for Astrophysics · Physics 2025-01-22 Alessio Spagnoletti , Alexandre Boucaud , Marc Huertas-Company , Wassim Kabalan , Biswajit Biswas

Ptychography, as a powerful lensless imaging method, has become a popular member of the coherent diffractive imaging family over decades of development. The ability to utilize low-dose X-rays and/or fast scans offers a big advantage in a…

Medical Physics · Physics 2024-06-14 Longlong Wu , Shinjae Yoo , Yong S. Chu , Xiaojing Huang , Ian K. Robinson

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…

Materials Science · Physics 2024-08-22 Jizhe Cui , Yi Zheng , Kang Sun , Wenfeng Yang , Haozhi Sha , Rong Yu

Fourier ptychography captures intensity images with varying source patterns (illumination angles) in order to computationally reconstruct large space-bandwidth-product images. Accurate knowledge of the illumination angles is necessary for…

Signal Processing · Electrical Eng. & Systems 2018-11-01 Regina Eckert , Zachary F. Phillips , Laura Waller

Diffusion models are a remarkably effective way of learning and sampling from a distribution $p(x)$. In posterior sampling, one is also given a measurement model $p(y \mid x)$ and a measurement $y$, and would like to sample from $p(x \mid…

Machine Learning · Computer Science 2025-11-11 Shivam Gupta , Ajil Jalal , Aditya Parulekar , Eric Price , Zhiyang Xun

Ptychography, as an essential tool for high-resolution and nondestructive material characterization, presents a challenging large-scale nonlinear and non-convex inverse problem; however, its intrinsic photon statistics create clear…

Machine Learning · Statistics 2021-11-02 Agnimitra Dasgupta , Zichao Wendy Di

X-ray ptychography imaging at synchrotron facilities like the Advanced Photon Source (APS) involves controlling instrument hardwares to collect a set of diffraction patterns from overlapping coherent illumination spots on extended samples,…

Instrumentation and Detectors · Physics 2022-02-10 Ke Yue , Junjing Deng , Yi Jiang , Youssef Nashed , David Vine , Stefan Vogt

Applying standard algorithms to sparse data problems in photoacoustic tomography (PAT) yields low-quality images containing severe under-sampling artifacts. To some extent, these artifacts can be reduced by iterative image reconstruction…

Numerical Analysis · Mathematics 2024-12-20 Stephan Antholzer , Johannes Schwab , Robert Nuster , Markus Haltmeier

Ptychography has become an indispensable tool for high-resolution, non-destructive imaging using coherent light sources. The processing of ptychographic data critically depends on robust, efficient, and flexible computational reconstruction…

We present a new Bayesian methodology to learn the unknown material density of a given sample by inverting its two-dimensional images that are taken with a Scanning Electron Microscope. An image results from a sequence of projections of the…

Applications · Statistics 2014-03-06 Dalia Chakrabarty , Fabio Rigat , Nare Gabrielyan , Richard Beanland , Shashi Paul

Imaging is a form of probabilistic belief change which could be employed for both revision and update. In this paper, we propose a new framework for probabilistic belief change based on imaging, called Expected Distance Imaging (EDI). EDI…

Artificial Intelligence · Computer Science 2017-05-04 Gavin Rens , Thomas Meyer

Expectation Propagation (EP) is a widely used iterative message-passing algorithm that decomposes a global inference problem into multiple local ones. It approximates marginal distributions as ``beliefs'' using intermediate functions called…

Machine Learning · Statistics 2026-04-07 Zilu Zhao , Jichao Chen , Dirk Slock

Phase recovery from intensity-only measurements forms the heart of coherent imaging techniques and holography. Here we demonstrate that a neural network can learn to perform phase recovery and holographic image reconstruction after…

Computer Vision and Pattern Recognition · Computer Science 2017-12-13 Yair Rivenson , Yibo Zhang , Harun Gunaydin , Da Teng , Aydogan Ozcan

Most reconstruction algorithms for photoacoustic imaging assume that the pressure field is measured by ultrasound sensors placed on a detection surface. However, such sensors do not measure pressure exactly due to their non-uniform…

Analysis of PDEs · Mathematics 2021-01-05 Sebastian Acosta

Non-line-of-sight (NLOS) imaging enables the visualization of objects hidden from direct view, with applications in surveillance, remote sensing, and light detection and ranging. Here, we introduce a NLOS imaging technique termed…

Image and Video Processing · Electrical Eng. & Systems 2024-09-04 Pengming Song , Qianhao Zhao , Ruihai Wang , Ninghe Liu , Yingqi Qiang , Tianbo Wang , Xincheng Zhang , Yi Zhang , Guoan Zheng

Fourier ptychography (FP) is a newly developed computational imaging approach that achieves both high resolution and wide field of view by stitching a series of low-resolution images captured under angle-varied illumination. So far, many…

Image and Video Processing · Electrical Eng. & Systems 2019-09-20 Yongbing Zhang , Yangzhe Liu , Xiu Li , Shaowei Jiang , Krishna Dixit , Xinfeng Zhang , Xiangyang Ji

Maximum-likelihood methods are applied to the problem of absorption tomography. The reconstruction is done with the help of an iterative algorithm. We show how the statistics of the illuminating beam can be incorporated into the…

Data Analysis, Statistics and Probability · Physics 2009-11-07 J. Rehacek , Z. Hradil , M. Zawisky , W. Treimer , M. Strobl

Reconstruction of images from noisy linear measurements is a core problem in image processing, for which convex optimization methods based on total variation (TV) minimization have been the long-standing state-of-the-art. We present an…

Information Theory · Computer Science 2016-08-31 Jean Barbier , Eric W. Tramel , Florent Krzakala

Ptychography, a prevalent imaging technique in fields such as biology and optics, poses substantial challenges in its reconstruction process, characterized by nonconvexity and large-scale requirements. This paper presents a novel approach…

Numerical Analysis · Mathematics 2024-03-25 Kevin Bui , Zichao Di