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X-ray single particle imaging involves the measurement of a large number of noisy diffraction patterns of isolated objects in random orientations. The missing information about these patterns is then computationally recovered in order to…

Image and Video Processing · Electrical Eng. & Systems 2020-05-25 Kartik Ayyer

Faraday tomography offers crucial information on the magnetized astronomical objects, such as quasars, galaxies, or galaxy clusters, by observing its magnetoionic media. The observed linear polarization spectrum is inverse Fourier…

Instrumentation and Methods for Astrophysics · Physics 2020-11-24 Suchetha Cooray , Tsutomu T. Takeuchi , Takuya Akahori , Yoshimitsu Miyashita , Shinsuke Ideguchi , Keitaro Takahashi , Kiyotomo Ichiki

This paper investigates the shape reconstructions of sub-wavelength objects from near-field measurements in transverse electromagnetic scattering. This geometric inverse problem is notoriously ill-posed and challenging. We develop a novel…

Mathematical Physics · Physics 2023-05-03 M. H. Ding , H. Y. Liu , G. H. Zheng

We solve the compressive sensing problem via convolutional factor analysis, where the convolutional dictionaries are learned {\em in situ} from the compressed measurements. An alternating direction method of multipliers (ADMM) paradigm for…

Machine Learning · Statistics 2017-01-12 Xin Yuan , Yunchen Pu , Lawrence Carin

Optical projection tomography (OPT) is a powerful tool for biomedical studies. It achieves 3D visualization of mesoscopic biological samples with high spatial resolution using conventional tomographic-reconstruction algorithms. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-10-02 Yan Liu , Jonathan Dong , Thanh-An Pham , Francois Marelli , Michael Unser

The reconstruction of three-dimensional sparse volume functions from few tomographic projections constitutes a challenging problem in image reconstruction and turns out to be a particular instance problem of compressive sensing. The…

Numerical Analysis · Mathematics 2012-08-31 Stefania Petra , Christoph Schnörr

Optical projection tomography (OPT) is a powerful tool for biomedical studies. It achieves 3D visualization of mesoscopic biological samples with high spatial resolution using conventional tomographic-reconstruction algorithms. However,…

Optics · Physics 2025-02-07 Yan Liu , Jonathan Dong , Thanh-an Pham , François Marelli , Michael Unser

The simple entropic method to statistical reconstructing of heterogeneous three-dimensional media from a single two-dimensional image is briefly reported. We apply the entropic descriptor quantifying spatial inhomogeneity that depends on…

Statistical Mechanics · Physics 2015-11-18 D. Frączek , W. Olchawa , R. Piasecki , R. Wiśniowski

In this work, a generalized force-field methodology for the relaxation of large moir\'e heterostructures is proposed. The force-field parameters are optimized to accurately reproduce the structural degrees of freedom of some computationally…

Materials Science · Physics 2023-07-19 Carl Emil Mørch Nielsen , Miguel da Cruz , Abderrazak Torche , Gabriel Bester

We consider geometry parameter estimation in industrial sawmill fan-beam X-ray tomography. In such industrial settings, scanners do not always allow identification of the location of the source-detector pair, which creates the issue of…

Computational Engineering, Finance, and Science · Computer Science 2023-12-11 Angelina Senchukova , Jarkko Suuronen , Jere Heikkinen , Lassi Roininen

We present a novel method for characterizing the microstructure of a material from volumetric datasets such as 3D image data from computed tomography (CT). The method is based on a new statistical model for the distribution of voxel…

Materials Science · Physics 2021-01-06 Elise Otterlei Brenne , Vedrana Andersen Dahl , Peter Stanley Jørgensen

Tomography has made a revolutionary impact on diverse fields, ranging from macro-/mesoscopic scale studies in biology, radiology, plasma physics to the characterization of 3D atomic structure in material science. The fundamental of…

Optimization and Control · Mathematics 2020-04-28 Minh Pham , Yakun Yuan , Arjun Rana , Jianwei Miao , Stanley Osher

To improve the performance in identifying the faults under strong noise for rotating machinery, this paper presents a dynamic feature reconstruction signal graph method, which plays the key role of the proposed end-to-end fault diagnosis…

Signal Processing · Electrical Eng. & Systems 2023-10-02 Wenbin He , Jianxu Mao , Yaonan Wang , Zhe Li , Qiu Fang , Haotian Wu

We propose a method to reconstruct the optical absorption of a highly-scattering medium probed by diffuse light. The method consists of learning the optical detection system and then using this result to reconstruct the absorption. Our…

Optics · Physics 2025-10-08 Zijian Wang , Andreas Hauptmann , Lu Lu , John C. Schotland

We propose a new beam diagnostics method to reconstruct the phase space of charged particle bunches in 5 dimensions, which consist of the horizontal and vertical positions and divergences as well as the time axis. This is achieved by…

Accelerator Physics · Physics 2023-05-08 S. Jaster-Merz , R. W. Assmann , R. Brinkmann , F. Burkart , W. Hillert , M. Stanitzki , T. Vinatier

In order to determine the 3D structure of a thick sample, researchers have recently combined ptychography (for high resolution) and tomography (for 3D imaging) in a single experiment. 2-step methods are usually adopted for reconstruction,…

Image and Video Processing · Electrical Eng. & Systems 2020-07-21 Huibin Chang , Pablo Enfedaque , Stefano Marchesini

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

Atom probe tomography (APT) fills a crucial need in the characterization workflow of materials by its ability to inform the 3D chemical microstructure at the nanoscale. As with any characterization techniques, APT has strengths and…

We consider the recovery of sparse signals that share a common support from multiple measurement vectors. The performance of several algorithms developed for this task depends on parameters like dimension of the sparse signal, dimension of…

Methodology · Statistics 2015-04-08 Deepa K. G. , Sooraj K. Ambat , K. V. S. Hari

Recent advancements in deep learning for predicting 3D protein structures have shown promise, particularly when leveraging inputs like protein sequences and Cryo-Electron microscopy (Cryo-EM) images. However, these techniques often fall…

Computer Vision and Pattern Recognition · Computer Science 2024-08-13 Jaydeep Rade , Ethan Herron , Soumik Sarkar , Anwesha Sarkar , Adarsh Krishnamurthy