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We propose a method to reconstruct sparse signals degraded by a nonlinear distortion and acquired at a limited sampling rate. Our method formulates the reconstruction problem as a nonconvex minimization of the sum of a data fitting term and…

Optimization and Control · Mathematics 2023-01-19 Arthur Marmin , Marc Castella , Jean-Christophe Pesquet , Laurent Duval

X-ray tomographic image reconstruction consists of determining an object function from its projections. In many applications such as non-destructive testing, we look for a fault region (air) in a homogeneous, known background (metal). The…

Data Analysis, Statistics and Probability · Physics 2007-05-23 A. Mohammad-Djafari , Ken Sauer

This paper presents a new method for 3D shape reconstruction based on two existing methods. A 3D reconstruction from a single photograph is introduced by both papers: the first one uses a photograph and a set of existing 3D model to…

Computer Vision and Pattern Recognition · Computer Science 2017-05-16 Yong Khoo

Electron tomography is becoming an increasingly important tool in materials science for studying the three-dimensional morphologies and chemical compositions of nanostructures. The image quality obtained by many current algorithms is…

This paper addresses the problem of reconstructing the surface shape of transparent objects. The difficulty of this problem originates from the viewpoint dependent appearance of a transparent object, which quickly makes reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2021-05-24 Kai Han , Kwan-Yee K. Wong , Miaomiao Liu

In this paper, we propose a computational framework for the optimal design of broadband absorbing materials composed of plasmonic nanoparticle arrays. This design problem poses several key challenges: (1) the complex multi-particle…

Numerical Analysis · Mathematics 2025-08-07 Yu Gao , Hai Zhang , Kai Zhang

Seismic full-waveform inversion tries to estimate subsurface medium parameters from seismic data. Areas with subsurface salt bodies are of particular interest because they often have hydrocarbon reservoirs on their sides or underneath.…

Computational Engineering, Finance, and Science · Computer Science 2020-12-23 Ajinkya Kadu , Tristan van Leeuwen , Wim A. Mulder

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

Inline holographic imaging presents an ill-posed inverse problem of reconstructing objects' complex amplitude from recorded diffraction patterns. Although recent deep learning approaches have shown promise over classical phase retrieval…

Optics · Physics 2025-07-02 Chanseok Lee , Fakhriyya Mammadova , Jiseong Barg , Mooseok Jang

We study the morphology of convergence maps by perturbatively reconstructing their Minkowski Functionals (MFs). We present a systematics study using a set of three generalised skew-spectra as a function of source redshift and smoothing…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-01 D. Munshi , T. Namikawa , J. D. McEwen , T. D. Kitching , F. R. Bouchet

We present a computational framework for efficient optimization-based "inverse design" of large-area "metasurfaces" (subwavelength-patterned surfaces) for applications such as multi-wavelength and multi-angle optimizations, and…

Plasma diagnostics often employ computerized tomography to estimate emissivity profiles from a finite, and often limited, number of line-integrated measurements. Decades of algorithmic refinement have brought considerable improvements, and…

Plasma Physics · Physics 2026-03-12 D. Hamm , C. Theiler , M. Simeoni , B. P. Duval , T. Debarre , L. Simons , J. R. Queralt

Accurately reconstructing a global spatial field from sparse data has been a longstanding problem in several domains, such as Earth Sciences and Fluid Dynamics. Historically, scientists have approached this problem by employing complex…

Computer Vision and Pattern Recognition · Computer Science 2024-08-23 Robert Sunderhaft , Logan Frank , Jim Davis

Recently, it has been shown that a high resolution image can be obtained without the usage of a high resolution sensor. The main idea has been that a low resolution sensor is covered with a non-regular sampling mask followed by a…

Image and Video Processing · Electrical Eng. & Systems 2022-04-11 Markus Jonscher , Jürgen Seiler , Michel Bätz , Thomas Richter , Wolfgang Schnurrer , André Kaup

A new method for high-sensitivity subwavelength spectromicroscopy is proposed based on the usage of a spaser (near-field laser) in the form of a scanning probe microscope tip. The high spatial resolution is defined by the tip's curvature,…

Mesoscale and Nanoscale Physics · Physics 2012-08-17 Yuriy E. Lozovik , Igor A. Nechepurenko , Alexander V. Dorofeenko , Alexander A. Pukhov , Eugeniy S. Andrianov

Tomographic reconstruction, despite its revolutionary impact on a wide range of applications, suffers from its ill-posed nature in that there is no unique solution because of limited and noisy measurements. Therefore, in the absence of…

Applications · Statistics 2023-04-10 Agnimitra Dasgupta , Carlo Graziani , Zichao Wendy Di

A two-step shape reconstruction method for diffuse optical tomography (DOT) is presented which uses adjoint fields and level sets. The propagation of near-infrared photons in tissue is modeled by the time-dependent linear transport…

Numerical Analysis · Mathematics 2025-10-20 Oliver Dorn

Radio interferometry enables high-resolution imaging of astronomical radio sources by synthesizing a large effective aperture from an array of antennas and solving a deconvolution problem to reconstruct the image. Deep learning has emerged…

Instrumentation and Methods for Astrophysics · Physics 2026-03-11 Zihui Wu , Liam Connor , Samuel McCarty , Katherine L. Bouman

We consider the signal reconstruction problem under the case of the signals sampled in the multichannel way and with the presence of noise. Observing that if the samples are inexact, the rigorous enforcement of multichannel interpolation is…

Information Theory · Computer Science 2022-09-20 Dong Cheng , Xiaoxiao Hu , Kit Ian Kou

Resonant modes determine the response of electromagnetic devices, including dielectric and plasmonic resonators. Relying on the degrees of freedom that metamaterials provide, this contribution shows how to design, at will, the resonant…