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The Euler Characteristic Transform (ECT) of Turner et al. provides a way to statistically analyze non-diffeomorphic shapes without relying on landmarks. In applications, this transform is typically approximated by a discrete set of…

Algebraic Topology · Mathematics 2024-11-14 Henry Kirveslahti , Xiaohan Wang

The ability of a radar to discriminate in both range and Doppler velocity is completely characterized by the ambiguity function (AF) of its transmit waveform. Mathematically, it is obtained by correlating the waveform with its…

Signal Processing · Electrical Eng. & Systems 2024-06-11 Samuel Pinilla , Kumar Vijay Mishra , Brian M. Sadler , Henry Arguello

Image Representation learning via input reconstruction is a common technique in machine learning for generating representations that can be effectively utilized by arbitrary downstream tasks. A well-established approach is using…

Neural and Evolutionary Computing · Computer Science 2025-06-10 Raoof HojatJalali , Edmondo Trentin

Phase retrieval refers to the problem of recovering a signal $\mathbf{x}_{\star}\in\mathbb{C}^n$ from its phaseless measurements $y_i=|\mathbf{a}_i^{\mathrm{H}}\mathbf{x}_{\star}|$, where $\{\mathbf{a}_i\}_{i=1}^m$ are the measurement…

Information Theory · Computer Science 2020-09-10 Junjie Ma , Rishabh Dudeja , Ji Xu , Arian Maleki , Xiaodong Wang

Deep learning has been widely used for hyperspectral pixel classification due to its ability of generating deep feature representation. However, how to construct an efficient and powerful network suitable for hyperspectral data is still…

Computer Vision and Pattern Recognition · Computer Science 2019-04-17 Jingzhou Chen , Siyu Chen , Peilin Zhou , Yuntao Qian

Positron emission tomography (PET) is widely used in various clinical applications, including cancer diagnosis, heart disease and neuro disorders. The use of radioactive tracer in PET imaging raises concerns due to the risk of radiation…

Computer Vision and Pattern Recognition · Computer Science 2017-12-13 Junshen Xu , Enhao Gong , John Pauly , Greg Zaharchuk

In a follow-up effort to our prior report on the optical transmission of a moving Fabry-Perot interferometer \cite{Pyvovar}, this work seeks to establish a general framework that describes the transmission and reflection properties of a…

Optics · Physics 2024-09-30 Lingze Duan

Fourier ptychography is a recently explored imaging method for overcoming the diffraction limit of conventional cameras with applications in microscopy and yielding high-resolution images. In order to splice together low-resolution images…

Image and Video Processing · Electrical Eng. & Systems 2020-03-18 Yican Chen , Zhi Luo , Xia Wu , Huidong Yang , Bo Huang

PET image reconstruction is challenging due to the ill-poseness of the inverse problem and limited number of detected photons. Recently deep neural networks have been widely and successfully used in computer vision tasks and attracted…

Computer Vision and Pattern Recognition · Computer Science 2017-10-11 Kuang Gong , Jiahui Guan , Kyungsang Kim , Xuezhu Zhang , Georges El Fakhri , Jinyi Qi , Quanzheng Li

Electrical Impedance Tomography (EIT) is a non-invasive imaging technique that reconstructs conductivity distributions within a body from boundary measurements. However, EIT reconstruction is hindered by its ill-posed nonlinear inverse…

Image and Video Processing · Electrical Eng. & Systems 2024-09-11 Bowen Tong , Junwu Wang , Dong Liu

When two lasers are applied to a non-centrosymmetric material, light can be generated at the difference of the incoming frequencies $\Delta\omega$, a phenomenon known as difference frequency generation (DFG), well characterized in…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Fernando de Juan , Yang Zhang , Takahiro Morimoto , Yan Sun , Joel E. Moore , Adolfo G. Grushin

The Doppler spectrum estimation of a weather radar signal in a classic way can be made by two methods, temporal one based in the autocorrelation of the successful signals, whereas the other one uses the estimation of the power spectral…

Numerical Analysis · Mathematics 2025-10-20 Mohand Lagha , Messaoud Bensebti

The radial velocity (RV) method, also known as Doppler spectroscopy, is a powerful technique for exoplanet discovery and characterization. In recent years, progress has been made thanks to the improvements in the quality of spectra from new…

Earth and Planetary Astrophysics · Physics 2026-01-06 Joseph Salzer , Jessi Cisewski-Kehe , Eric B. Ford , Lily L. Zhao

Electron backscatter diffraction (EBSD) has developed over the last few decades into a valuable crystallographic characterisation method for a wide range of sample types. Despite these advances, issues such as the complexity of sample…

Image and Video Processing · Electrical Eng. & Systems 2024-07-17 Zoë Broad , Alex W. Robinson , Jack Wells , Daniel Nicholls , Amirafshar Moshtaghpour , Angus I. Kirkland , Nigel D. Browning

The Doppler beaming effect, induced by the reflex motion of stars, introduces flux modulations and serves as an efficient method to photometrically determine mass functions for a large number of close binary systems, particularly those…

Solar and Stellar Astrophysics · Physics 2024-08-08 Chuanjie Zheng , Yang Huang , Jifeng Liu , Youjun Lu , Henggeng Han , Yuan Tan , Timothy C. Beers

We study (inverse) photoemission from systems with strong coupling of doped carriers to phonons. Using an adiabatic approximation, we develop a method for calculating spectra. This method is particularly simple for systems where the…

Strongly Correlated Electrons · Physics 2007-05-23 O. Rösch , O. Gunnarsson

We report a simple fiber-implemented technique for complete reconstruction of intensity profile and phase of ultrashort laser pulses based on processing only pulse spectrum and two self-phase modulated spectra measured after a short piece…

Optics · Physics 2017-12-12 E. A. Anashkina , A. V. Andrianov , M. Yu. Koptev , A. V. Kim

In this paper, we present a novel reconstruction method for diffuse optical spectroscopic imaging with a commonly used tissue model of optical absorption and scattering. It is based on linearization and group sparsity, which allows…

Numerical Analysis · Mathematics 2019-03-06 Habib Ammari , Bangti Jin , Wenlong Zhang

techniques can be considered as an attractive alternative to the often-cumbersome traditional manufacturing routes. With the use of high-power lasers, localized hot zones that are necessary for glass making can be obtained rapidly. For…

Spectroscopy requires high-precision wavelength discrimination but typically requires bulky, alignment-sensitive instrumentation. To address this, we present a compact computational spectrometer built from a single germanium PN photodiode.…

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