Zobrazeno 1 - 10
of 426
pro vyhledávání: '"65R32"'
Autor:
Aramyan, Rafik
It is known that the Funk transform (the Funk-Radon transform) is invertible in the class of even (symmetric) continuous functions defined on the unit 2-sphere S^2. In this article, for the reconstruction of f from C(S^2) (can be non-even), an additi
Externí odkaz:
http://arxiv.org/abs/2411.05365
Conventional tomographic reconstruction typically depends on centralized servers for both data storage and computation, leading to concerns about memory limitations and data privacy. Distributed reconstruction algorithms mitigate these issues by part
Externí odkaz:
http://arxiv.org/abs/2410.06106
This paper introduces an efficient tensor-vector product technique for the rapid and accurate approximation of integral operators within physics-informed deep learning frameworks. Our approach leverages neural network architectures to evaluate proble
Externí odkaz:
http://arxiv.org/abs/2409.01899
In this work, we investigate the generalized bathtub model, a nonlocal transport equation for describing network trip flows served by privately operated vehicles inside a road network. First, we establish the well-posedness of the mathematical model
Externí odkaz:
http://arxiv.org/abs/2409.00619
Publikováno v:
Inverse Problems, 2024
This paper presents a fast and robust numerical method for reconstructing point-like sources in the time-harmonic Maxwell's equations given Cauchy data at a fixed frequency. This is an electromagnetic inverse source problem with broad applications, s
Externí odkaz:
http://arxiv.org/abs/2408.03826
Iterative deblurring, notably the Richardson-Lucy algorithm with and without regularization, is analyzed in the context of nuclear and high-energy physics applications. In these applications, probability distributions may be discretized into a few bi
Externí odkaz:
http://arxiv.org/abs/2407.03458
Autor:
Volpara, Anna, Lupoli, Alessandro, Filbir, Frank, Perracchione, Emma, Massone, Anna Maria, Piana, Michele
Imaging spectroscopy, i.e., the generation of spatially resolved count spectra and of cubes of count maps at different energies, is one of the main goals of solar hard X-ray missions based on Fourier imaging. For these telescopes, so far imaging spec
Externí odkaz:
http://arxiv.org/abs/2407.01175
Autor:
Gazzola, Silvia, Gholami, Ali
Regularization techniques are necessary to compute meaningful solutions to discrete ill-posed inverse problems. The well-known 2-norm Tikhonov regularization method equipped with a discretization of the gradient operator as regularization operator pe
Externí odkaz:
http://arxiv.org/abs/2406.02209
The recently developed data-driven eigenmatrix method shows very promising reconstruction accuracy in sparse recovery for a wide range of kernel functions and random sample locations. However, its current implementation can lead to numerical instabil
Externí odkaz:
http://arxiv.org/abs/2405.08721
This article presents the numerical verification and validation of several inversion algorithms for V-line transforms (VLTs) acting on symmetric 2-tensor fields in the plane. The analysis of these transforms and the theoretical foundation of their in
Externí odkaz:
http://arxiv.org/abs/2405.03249