A Reduced Basis Method for Radiative Transfer Equation [PDF]
Journal of Scientific Computing, 2021 Linear kinetic transport equations play a critical role in optical tomography, radiative transfer and neutron transport. The fundamental difficulty hampering their efficient and accurate numerical resolution lies in the high dimensionality of the ...
Zhichao Peng +3 more
semanticscholar +7 more sources
Inversion of the radiative transfer equation for polarized light [PDF]
Living Reviews in Solar Physics, 2016 Since the early 1970s, inversion techniques have become the most useful tool for inferring the magnetic, dynamic, and thermodynamic properties of the solar atmosphere.
Jose Carlos del Toro Iniesta +1 more
doaj +2 more sources
Image reconstruction for diffuse optical tomography based on radiative transfer equation. [PDF]
Comput Math Methods Med, 2015 Diffuse optical tomography is a novel molecular imaging technology for small animal studies. Most known reconstruction methods use the diffusion equation (DA) as forward model, although the validation of DA breaks down in certain situations. In this work,
Bi B, Han B, Han W, Tang J, Li L.
europepmc +2 more sources
Diffusion Equation-Assisted Markov Chain Monte Carlo Methods for the Inverse Radiative Transfer Equation [PDF]
Entropy, 2019 Optical tomography is the process of reconstructing the optical properties of biological tissue using measurements of incoming and outgoing light intensity at the tissue boundary.
Qin Li, Kit Newton
doaj +2 more sources
Generation of Synthetic Non-Homogeneous Fog by Discretized Radiative Transfer Equation [PDF]
Journal of ImagingThe synthesis of realistic fog in images is critical for applications such as autonomous navigation, augmented reality, and visual effects. Traditional methods based on Koschmieder’s law or GAN-based image translation typically assume homogeneous fog ...
Marcell Beregi-Kovacs +3 more
doaj +2 more sources
Machine learning moment closure models for the radiative transfer equation I: directly learning a gradient based closure [PDF]
Journal of Computational Physics, 2021 In this paper, we take a data-driven approach and apply machine learning to the moment closure problem for radiative transfer equation in slab geometry. Instead of learning the unclosed high order moment, we propose to directly learn the gradient of the ...
Juntao Huang +3 more
semanticscholar +1 more source
Solving multiscale steady radiative transfer equation using neural networks with uniform stability [PDF]
Research in the Mathematical Sciences, 2021 This paper concerns solving the steady radiative transfer equation with diffusive scaling, using the physics informed neural networks (PINNs). The idea of PINNs is to minimize a least-square loss function, that consists of the residual from the governing
Yu-Long Lu, Li Wang, Wuzhe Xu
semanticscholar +1 more source
Spherical Harmonics for the 1D Radiative Transfer Equation. I. Reflected Light
The Astrophysical Journal, 2023 A significant challenge in radiative transfer theory for atmospheres of exoplanets and brown dwarfs is the derivation of computationally efficient methods that have adequate fidelity to more precise, numerically demanding solutions.
Caoimhe M. Rooney +2 more
doaj +1 more source
Invariance properties of exact solutions of the Radiative Transfer Equation
, 2021 In this work, special invariance properties of a class of exact solutions of the radiative transfer equation (RTE) pertaining to a uniform Lambertian illumination of any non-absorbing homogeneous and inhomogeneous volume are presented and discussed. This
F. Martelli +5 more
semanticscholar +1 more source
Journal of Marine Science and Engineering, 2020 In this paper, we analyze the current state of the discrete theory of radiative transfer. One-dimensional, three-dimensional and stochastic radiative transfer models are considered.
Viktor P. Afanas’ev +4 more
doaj +1 more source