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Scanning Probe Microscopy (SPM) is the primary tool for exploring nanoscale functionality, yet standard single-frequency operation is fundamentally limited, because the dynamic tip-sample interaction is mathematically underdetermined. While…

The ability of Minkowski Functionals to characterize local structure in different biological tissue types has been demonstrated in a variety of medical image processing tasks. We introduce anisotropic Minkowski Functionals (AMFs) as a novel…

Image and Video Processing · Electrical Eng. & Systems 2020-04-06 Axel Wismueller , Titas De , Eva Lochmueller , Felix Eckstein , Mahesh B. Nagarajan

We consider the problem of signal estimation (denoising) from a statistical-mechanical perspective, in continuation to a recent work on the analysis of mean-square error (MSE) estimation using a direct relationship between optimum…

Information Theory · Computer Science 2013-06-04 Wasim Huleihel , Neri Merhav

The 4D Millimeter wave (mmWave) radar is a promising technology for vehicle sensing due to its cost-effectiveness and operability in adverse weather conditions. However, the adoption of this technology has been hindered by sparsity and…

Computer Vision and Pattern Recognition · Computer Science 2023-10-06 Jianan Liu , Qiuchi Zhao , Weiyi Xiong , Tao Huang , Qing-Long Han , Bing Zhu

Diffusion MRI is a non-invasive, in-vivo biomedical imaging method for mapping tissue microstructure. Applications include structural connectivity imaging of the human brain and detecting microstructural neural changes. However, acquiring…

Image and Video Processing · Electrical Eng. & Systems 2023-10-09 Amir Sadikov , Xinlei Pan , Hannah Choi , Lanya T. Cai , Pratik Mukherjee

The natural outcome of theoretical calculations of microwave background anisotropy is the angular power spectrum ${\cal C}_\ell$ as a function of multipole number $\ell$. Experimental ${\cal C}_\ell$'s are needed for direct comparison.…

Astrophysics · Physics 2009-09-25 J. Richard Bond

Faraday Rotation Measure (RM) synthesis requires the recovery of the Faraday Dispersion Function (FDF) from measurements restricted to limited wavelength ranges, which is an ill-conditioned deconvolution problem. Here, we propose a novel…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 M. Andrecut

Magnetic Resonance Imaging (MRI), including diffusion MRI (dMRI), serves as a ``microscope'' for anatomical structures and routinely mitigates the influence of low signal-to-noise ratio scans by compromising temporal or spatial resolution.…

Image and Video Processing · Electrical Eng. & Systems 2025-03-11 Chenxu Wu , Qingpeng Kong , Zihang Jiang , S. Kevin Zhou

Forward scatter radar (FSR) has emerged as an effective imaging modality for target detection, utilizing forward scattering (FS) signals to reconstruct two-dimensional shadow profile images of objects. However, real-world FS signals are…

Computational Physics · Physics 2025-08-18 ShuQi Lei , Gan Yu , Yuan Tian , XiaoWei Shao

Purpose: To propose a self-supervised deep learning-based compressed sensing MRI (DL-based CS-MRI) method named "Adaptive Self-Supervised Consistency Guided Diffusion Model (ASSCGD)" to accelerate data acquisition without requiring fully…

Image and Video Processing · Electrical Eng. & Systems 2025-02-11 Mojtaba Safari , Zach Eidex , Shaoyan Pan , Richard L. J. Qiu , Xiaofeng Yang

This paper is concerned with decentralized estimation of a Gaussian source using multiple sensors. We consider a diversity scheme where only the sensor with the best channel sends their measurements over a fading channel to a fusion center,…

Information Theory · Computer Science 2010-02-25 Alex S. Leong , Subhrakanti Dey

High-angle annular dark-field scanning transmission electron microscopy (HAADF-STEM) is a vital tool for characterizing single-atom catalysts (SACs). However, reliable elemental identification of different atoms remains challenging because…

Materials Science · Physics 2025-05-09 Yangfan Li , Yue Pan , Xincheng Lei , Weiwei Chen , Yang Shen , Mengshu Ge , Xiaozhi Liu , Dong Su

Diffusion models now set the benchmark in high-fidelity generative sampling, yet they can, in principle, be prone to memorization. In this case, their learned score overfits the finite dataset so that the reverse-time SDE samples are mostly…

Machine Learning · Computer Science 2025-05-30 Franck Gabriel , François Ged , Maria Han Veiga , Emmanuel Schertzer

In this paper, we employ asymptotic analysis to determine information about small volume defects in a known anisotropic scattering medium from far field scattering data. The location of the defects is reconstructed via the MUSIC algorithm…

Analysis of PDEs · Mathematics 2017-02-21 Fioralba Cakoni , Isaac Harris , Shari Moskow

We describe an algorithm for simulating ultrasound propagation in random one-dimensional media, mimicking different microstructures by choosing physical properties such as domain sizes and mass densities from probability distributions. By…

Data Analysis, Statistics and Probability · Physics 2015-06-11 Paulo G. Normando , Romao S. Nascimento , Elineudo P. Moura , Andre P. Vieira

Alzheimer's disease (AD) is the most common type of dementia accompanied with brain atrophy. Structural measurements of brain atrophy in specific brain structures such as hippocampus using magnetic resonance imaging (MRI) have been reported…

Medical Physics · Physics 2016-05-10 Kenya Murase , Naohiko Gondo , Tsutomu Soma

Purpose: To investigate the effect of anisotropic magnetic microstructure on the measurable Larmor frequency offset in media with heterogeneous magnetic susceptibility. Specific objectives were (i) validation of recently developed theory…

Soft Condensed Matter · Physics 2019-10-23 Alexander Ruh , Valerij G. Kiselev

We propose UNSURF, a novel uncertainty measure for cortical surface reconstruction of clinical brain MRI scans of any orientation, resolution, and contrast. It relies on the discrepancy between predicted voxel-wise signed distance functions…

Image and Video Processing · Electrical Eng. & Systems 2025-07-08 Raghav Mehta , Karthik Gopinath , Ben Glocker , Juan Eugenio Iglesias

We examined the anisotropic point spread function (PSF) of Suprime-Cam data utilizing dense star field data. We decomposed the PSF ellipticities into three components, the optical aberration, atmospheric turbulence, and chip-misalignment in…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Takashi Hamana , Satoshi Miyazaki , Yuki Okura , Tomohiro Okamura , Toshifumi Futamase

Fractional anisotropy (FA) and directionally encoded colour (DEC) maps are essential for evaluating white matter integrity and structural connectivity in neuroimaging. However, the spatial misalignment between FA maps and tractography…

Computer Vision and Pattern Recognition · Computer Science 2025-05-07 Xin Du , Francesca M. Cozzi , Rajesh Jena