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Extended formulation of Full Waveform Inversion (FWI), called Wavefield Reconstruction Inversion (WRI), offers potential benefits of decreasing the nonlinearity of the inverse problem by replacing the explicit inverse of the ill-conditioned…

最优化与控制 · 数学 2020-05-18 Hossein S. Aghamiry , Ali Gholami , Stéphane Operto

In this paper, we address an alternative formulation for the exact inverse formula of the Radon transform on circle arcs arising in a modality of Compton Scattering Tomography in translational geometry proposed by Webber and Miller (Inverse…

数值分析 · 数学 2021-12-06 Cécilia Tarpau , Javier Cebeiro , Geneviève Rollet , Mai K. Nguyen , Laurent Dumas

The magnetic inversion method is one of the non-destructive geophysical methods, which aims to estimate the subsurface susceptibility distribution from surface magnetic anomaly data. Recently, supervised deep learning methods have been…

地球物理 · 物理学 2023-08-24 Yinshuo Li , Zhuo Jia , Wenkai Lu , Cao Song

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…

计算机视觉与模式识别 · 计算机科学 2017-10-11 Kuang Gong , Jiahui Guan , Kyungsang Kim , Xuezhu Zhang , Georges El Fakhri , Jinyi Qi , Quanzheng Li

The non-uniform surface temperature distribution of rotating active stars is routinely mapped with the Doppler Imaging technique. Inhomogeneities in the surface produce features in high-resolution spectroscopic observations that shift in…

天体物理仪器与方法 · 物理学 2022-02-23 A. Asensio Ramos , C. Diaz Baso , O. Kochukhov

We use the POLARIS radiative transport code to generate predictions of the two main observables directly sensitive to the magnetic field morphology and strength in filaments: dust polarization and gas Zeeman line splitting. We simulate…

Magnetic Particle Imaging (MPI) is a recent imaging modality where superparamagnetic nanoparticles are employed as tracers. The reconstruction task is to obtain the spatial particle distribution from a voltage signal induced by the…

数值分析 · 数学 2025-08-11 Thomas März , Vladyslav Gapyak , Andreas Weinmann

Reconstructing an image from its Radon transform is a fundamental computed tomography (CT) task arising in applications such as X-ray scans. In many practical scenarios, a full 180-degree scan is not feasible, or there is a desire to reduce…

计算机视觉与模式识别 · 计算机科学 2025-02-20 Ilmari Vahteristo , Zhi-Song Liu , Andreas Rupp

This paper presents an uncalibrated deep neural network framework for the photometric stereo problem. For training models to solve the problem, existing neural network-based methods either require exact light directions or ground-truth…

计算机视觉与模式识别 · 计算机科学 2021-04-20 Berk Kaya , Suryansh Kumar , Carlos Oliveira , Vittorio Ferrari , Luc Van Gool

The modeling of complex atomic spectra is a difficult task, due to the huge number of levels and lines involved. In the presence of a magnetic field, the computation becomes even more difficult. The anomalous Zeeman pattern is a…

原子物理 · 物理学 2015-06-04 Jean-Christophe Pain , Franck Gilleron

Recent advances in spectropolarimetry have allowed the reconstruction of stellar coronal magnetic fields. This uses Zeeman-Doppler magnetograms of the surface magnetic field as a lower boundary condition. The ZDI maps, however, suffer from…

太阳与恒星天体物理 · 物理学 2015-05-18 Colin Johnstone , Moira Jardine , Duncan Mackay

This paper is concerned with the inverse problem of reconstructing small and local perturbations of a planar surface using the field interaction between a known plasmonic particle and the planar surface. The aim is to perform a…

偏微分方程分析 · 数学 2018-11-21 Habib Ammari , Doo Sung Choi , Sanghyeon Yu

We present two efficient numerical methods for susceptibility artifact correction applicable in Echo Planar Imaging (EPI), an ultra fast Magnetic Resonance Imaging (MRI) technique widely used in clinical applications. Both methods address a…

最优化与控制 · 数学 2016-11-23 Jan Macdonald , Lars Ruthotto

We introduce a novel framework for solving inverse problems using NeRF-style generative models. We are interested in the problem of 3-D scene reconstruction given a single 2-D image and known camera parameters. We show that naively…

计算机视觉与模式识别 · 计算机科学 2021-12-17 Giannis Daras , Wen-Sheng Chu , Abhishek Kumar , Dmitry Lagun , Alexandros G. Dimakis

Inverse problems are fundamental in fields like medical imaging, geophysics, and computerized tomography, aiming to recover unknown quantities from observed data. However, these problems often lack stability due to noise and…

数值分析 · 数学 2024-06-26 Andrea Ebner , Matthias Schwab , Markus Haltmeier

In image reconstruction there are techniques that use analytical formulae for the Radon transform to recover an image from a continuum of data. In practice, however, one has only discrete data available. Thus one often resorts to sampling…

泛函分析 · 数学 2011-08-30 Isaac Pesenson , Eric Grinberg

In this paper, we address the inverse problem of fast, stable, and high-quality wavefront reconstruction from pyramid wavefront sensor data for Adaptive Optics systems on Extremely Large Telescopes. For solving the indicated problem we…

天体物理仪器与方法 · 物理学 2019-05-01 Victoria Hutterer , Ronny Ramlau , Iuliia Shatokhina

Neural fields or implicit neural representations (INRs) have attracted significant attention in computer vision and imaging due to their efficient coordinate-based representation of images and 3D volumes. In this work, we introduce a…

计算机视觉与模式识别 · 计算机科学 2024-12-24 AmirEhsan Khorashadizadeh , Tobías I. Liaudat , Tianlin Liu , Jason D. McEwen , Ivan Dokmanić

In this paper I will discuss new magnetic field diagnostics and instrumentation for an area of astrophysics where magnetic field observations have been difficult - circumstellar material. Such diagnostics would be particularly relevant to…

天体物理学 · 物理学 2007-05-23 K. H. Nordsieck

Image reconstruction under multiple light scattering is crucial in a number of applications such as diffraction tomography. The reconstruction problem is often formulated as a nonconvex optimization, where a nonlinear measurement model is…

计算机视觉与模式识别 · 计算机科学 2018-07-04 Yu Sun , Zhihao Xia , Ulugbek S. Kamilov