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In this paper, we investigate the problem of inverse electromagnetic scattering to recover multilayer human tissue profiles using ultrawideband radar systems in a Bayesian setting. We study the recovery problem in a blind setting, in which…

Signal Processing · Electrical Eng. & Systems 2021-08-30 Burak Cevat Civek , Emre Ertin

A novel algorithm for the recovery of low-rank matrices acquired via compressive linear measurements is proposed and analyzed. The algorithm, a variation on the iterative hard thresholding algorithm for low-rank recovery, is designed to…

Numerical Analysis · Mathematics 2018-10-30 Simon Foucart , Srinivas Subramanian

Alignment or registration of functions is a fundamental problem in statistical analysis of functions and shapes. While there are several approaches available, a more recent approach based on Fisher-Rao metric and square-root velocity…

Methodology · Statistics 2022-04-12 Xiaoyang Guo , Wei Wu , Anuj Srivastava

The excavation process in mechanized tunneling can be improved by reconnaissance of the geology ahead. A nondestructive exploration can be achieved in means of seismic imaging. A full waveform inversion approach, which works in the…

Computational Engineering, Finance, and Science · Computer Science 2022-02-08 Christopher Riedel , Khayal Musayev , Matthias Baitsch , Klaus Hackl

In this paper, we investigate the problem of recovering the frequency components of a mixture of $K$ complex sinusoids from a random subset of $N$ equally-spaced time-domain samples. Because of the random subset, the samples are effectively…

Signal Processing · Electrical Eng. & Systems 2023-11-10 Mohammad Bokaei , Saeed Razavikia , Stefano Rini , Arash Amini , Hamid Behrouzi

Full waveform inversion (FWI) updates the subsurface model from an initial model by comparing observed and synthetic seismograms. Due to high nonlinearity, FWI is easy to be trapped into local minima. Extended domain FWI, including…

Numerical Analysis · Mathematics 2024-08-28 Pengliang Yang , Wei Zhou

Satellite Remote Sensing Technology is becoming a major milestone in the prediction of weather anomalies, natural disasters as well as finding alternative resources in proximity using multiple multi-spectral sensors emitting electromagnetic…

Computer Vision and Pattern Recognition · Computer Science 2018-09-28 Suraj Kothawade , Kunjan Mhaske , Sahil Sharma , Furkhan Shaikh

Wavelets have been shown to be effective bases for many classes of natural signals and images. Standard wavelet bases have the entire vector space $\mathbb R^n$ as their natural domain. It is fairly straightforward to adapt these to…

Numerical Analysis · Mathematics 2013-09-26 Gorkem Ozkaya

In this letter, we propose an algorithm for recovery of sparse and low rank components of matrices using an iterative method with adaptive thresholding. In each iteration, the low rank and sparse components are obtained using a thresholding…

Numerical Analysis · Computer Science 2017-04-13 Nematollah Zarmehi , Farokh Marvasti

This paper explores the problem of generalized phase retrieval, which involves reconstructing a length-$n$ signal $\bm{x}$ from its $m$ phaseless samples $y_k = \left|\langle \bm{a}_k,\bm{x}\rangle\right|^2$, where $k = 1,2,...,m$, and…

Information Theory · Computer Science 2026-04-16 Jianfeng Cai , Huiping Li , Jiayi Li

Achieving desirable receiver sampling in ocean bottom acquisition is often not possible because of cost considerations. Assuming adequate source sampling is available, which is achievable by virtue of reciprocity and the use of modern…

Geophysics · Physics 2020-04-17 Mi Zhang , Ali Siahkoohi , Felix J. Herrmann

We combine two Gaussianization techniques - Wavelet Non-Linear Wiener Filter (WNLWF) and density reconstruction - to quantify the recovery of Fisher information that is lost in the gravitational collapse. We compute a displacement fields,…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Joachim Harnois-Deraps , Hao-Ran Yu , Tong-Jie Zhang , Ue-Li Pen

In this paper, we derive a new class of methods for the classic 2D phase unwrapping problem of recovering a phase function from its wrapped form. For this, we consider the wrapped phase as a wavefront aberration in an optical system, and…

Numerical Analysis · Mathematics 2025-03-14 Simon Hubmer , Victoria Laidlaw , Ronny Ramlau , Ekaterina Sherina , Bernadett Stadler

Ocean-bottom seismic plays a crucial role in resource exploration and monitoring. However, despite its undoubted potential, the use of coarse receiver geometries poses challenges to accurate wavefield redatuming. This in turn, affects the…

Geophysics · Physics 2024-01-12 Ning Wang , Matteo Ravasi

Marine seismic exploration is a core technology supporting marine resource exploration, seabed detection, carbon sequestration monitoring, and offshore engineering safety. The integration of full-waveform inversion (FWI), elastic inversion,…

Geophysics · Physics 2026-05-05 Guoxin Chen

We demonstrate a wavefront sensor based on the compressive sensing, single-pixel camera. Using a high-resolution spatial light modulator (SLM) as a variable waveplate, we weakly couple an optical field's transverse-position and polarization…

Optics · Physics 2014-07-30 Gregory A. Howland , Daniel J. Lum , John C. Howell

Recent work has demonstrated that deep learning approaches can successfully be used to recover accurate estimates of the spatially-varying BRDF (SVBRDF) of a surface from as little as a single image. Closer inspection reveals, however, that…

Computer Vision and Pattern Recognition · Computer Science 2021-05-03 Louis-Philippe Asselin , Denis Laurendeau , Jean-François Lalonde

To streamline fast-track processing of large data volumes, we have developed a deep learning approach to deblend seismic data in the shot domain based on a practical strategy for generating high-quality training data along with a list of…

Geophysics · Physics 2024-09-16 Jing Sun , Song Hou , Vetle Vinje , Gordon Poole , Leiv-J Gelius

The problem of recovering signals of high complexity from low quality sensing devices is analyzed via a combination of tools from signal processing and harmonic analysis. By using the rich structure offered by the recent development in…

Information Theory · Computer Science 2020-03-16 Roza Aceska , Jean-Luc Bouchot , Shidong Li

Borehole seismic data is obtained by receivers located in a well, with sources located on the surface or in another well. Using microlocal analysis, we study possible approximate reconstruction via linearized, filtered backprojection of an…

Analysis of PDEs · Mathematics 2024-02-20 Raluca Felea , Romina Gaburro , Allan Greenleaf , Clifford Nolan
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