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The standard implementation of the Maximum Entropy Method (MEM) follows Bryan and deploys a Singular Value Decomposition (SVD) to limit the dimensionality of the underlying solution space apriori. Here we present arguments based on the…

Computational Physics · Physics 2013-01-08 Alexander Rothkopf

The technique of non-redundant masking (NRM) transforms a conventional telescope into an interferometric array. In practice, this provides a much better constrained point spread function than a filled aperture and thus higher resolution…

Instrumentation and Methods for Astrophysics · Physics 2017-11-29 Steph Sallum , Josh Eisner

In cross-modal retrieval tasks, such as image-to-report and report-to-image retrieval, accurately aligning medical images with relevant text reports is essential but challenging due to the inherent ambiguity and variability in medical data.…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Shreyank N Gowda , Xiaobo Jin , Christian Wagner

Recovering images corrupted by multiplicative noise is a well known challenging task. Motivated by the success of multiscale hierarchical decomposition methods (MHDM) in image processing, we adapt a variety of both classical and new…

Numerical Analysis · Mathematics 2023-10-11 Joel Barnett , Wen Li , Elena Resmerita , Luminita Vese

Magnetic resonance electrical property tomography is a recent medical imaging modality for visualizing the electrical tissue properties of the human body using radio-frequency magnetic fields. It uses the fact that in magnetic resonance…

Analysis of PDEs · Mathematics 2014-09-23 Habib Ammari , Hyeuknam Kwon , Yoonseop Lee , Kyungkeun Kang , Jin Keun Seo

Positron Emission Mammography (PEM) imaging systems with the ability in detection of millimeter-sized tumors were developed in recent years. And some of them have been well used in clinical applications. In consideration of biopsy…

Medical Physics · Physics 2016-08-03 Xiao-Yue Gu , Wei Zhou , Lin Li , Peng-Fei Yin , Lei-Min Shang , Ming-Kai Yun , Zhen-Rui Lu , Xian-Chao Huang , Long Wei

Score-based generative models (SGMs) have recently shown promising results for image reconstruction on simulated positron emission tomography (PET) datasets. In this work we have developed and implemented practical methodology for 3D image…

The random equivalent sampling (RES) is a well-known sampling technique that can be used to capture a high-speed repetitive waveform with low sampling rate. In this paper, the feasibility of spectrum-blind multiband signal reconstruction…

Instrumentation and Detectors · Physics 2017-01-10 Yijiu Zhao , Li Wang , Houjun Wang , Changjian Liu

The field of medical image reconstruction has seen roughly four types of methods. The first type tended to be analytical methods, such as filtered back-projection (FBP) for X-ray computed tomography (CT) and the inverse Fourier transform…

Image and Video Processing · Electrical Eng. & Systems 2019-08-19 Saiprasad Ravishankar , Jong Chul Ye , Jeffrey A. Fessler

A set of orthonormal polynomials is proposed for image reconstruction from projection data. The relationship between the projection moments and image moments is discussed in detail, and some interesting properties are demonstrated.…

Computer Vision and Pattern Recognition · Computer Science 2014-03-14 Huazhong Shu , Jian Zhou , Guo-Niu Han , Limin M. Luo , Jean-Louis Coatrieux

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

First principle calculation of the QCD spectral functions (SPFs) based on the lattice QCD simulations is reviewed. Special emphasis is placed on the Bayesian inference theory and the Maximum Entropy Method (MEM), which is a useful tool to…

High Energy Physics - Lattice · Physics 2009-10-31 M. Asakawa , T. Hatsuda , Y. Nakahara

Scanning Transmission Electron Microscopy (STEM) enables the observation of atomic arrangements at sub-angstrom resolution, allowing for atomically resolved analysis of the physical and chemical properties of materials. However, due to the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-04 Hesong Li , Ziqi Wu , Ruiwen Shao , Tao Zhang , Ying Fu

Four-dimensional Scanning Transmission Electron Microscopy (4D-STEM) is a powerful technique for high-resolution and high-precision materials characterization at multiple length scales, including the characterization of beam-sensitive…

Applied Physics · Physics 2023-08-11 Hsu-Chih Ni , Renliang Yuan , Jiong Zhang , Jian-Min Zuo

We explore the use of the method of Maximum Entropy (ME) as a technique to generate approximations. In a first use of the ME method the "exact" canonical probability distribution of a fluid is approximated by that of a fluid of hard…

Statistical Mechanics · Physics 2009-11-10 Chih-Yuan Tseng , Ariel Caticha

Consumer-grade music recordings such as those captured by mobile devices typically contain distortions in the form of background noise, reverb, and microphone-induced EQ. This paper presents a deep learning approach to enhance low-quality…

Sound · Computer Science 2022-04-29 Nikhil Kandpal , Oriol Nieto , Zeyu Jin

Cryo-electron microscopy (cryo-EM) is an indispensable technique for determining the 3D structures of dynamic biomolecular complexes. While typically applied to image a single molecular species, cryo-EM has the potential for structure…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Jeffrey Gu , Minkyu Jeon , Ambri Ma , Serena Yeung-Levy , Ellen D. Zhong

Model-based methods are widely used for reconstruction in compressed sensing (CS) magnetic resonance imaging (MRI), using regularizers to describe the images of interest. The reconstruction process is equivalent to solving a composite…

Optimization and Control · Mathematics 2024-02-27 Tao Hong , Luis Hernandez-Garcia , Jeffrey A. Fessler

SPECT provides a mechanism to perform absorbed-dose quantification tasks for $\alpha$-particle radiopharmaceutical therapies ($\alpha$-RPTs). However, quantitative SPECT for $\alpha$-RPT is challenging due to the low number of detected…

Current end-to-end (E2E) and plug-and-play (PnP) image reconstruction algorithms approximate the maximum a posteriori (MAP) estimate but cannot offer sampling from the posterior distribution, like diffusion models. By contrast, it is…

Image and Video Processing · Electrical Eng. & Systems 2025-03-24 Jyothi Rikhab Chand , Mathews Jacob