[PDF][PDF] Multi-scale modeling and rendering of granular materials.

J Meng, M Papas, R Habel, C Dachsbacher… - ACM Trans. Graph., 2015 - Citeseer
We address the problem of modeling and rendering granular materials—such as large
structures made of sand, snow, or sugar—where an aggregate object is composed of many …

A radiative transfer framework for spatially-correlated materials

A Jarabo, C Aliaga, D Gutierrez - ACM Transactions on Graphics (TOG), 2018 - dl.acm.org
We introduce a non-exponential radiative framework that takes into account the local spatial
correlation of scattering particles in a medium. Most previous works in graphics have …

State of the Art in Efficient Translucent Material Rendering with BSSRDF

S Liang, Y Gao, C Hu, P Zhou, A Hao… - Computer Graphics …, 2024 - Wiley Online Library
Sub‐surface scattering is always an important feature in translucent material rendering.
When light travels through optically thick media, its transport within the medium can be …

A reciprocal formulation of nonexponential radiative transfer. 1: Sketch and motivation

E d'Eon - Journal of Computational and Theoretical Transport, 2018 - Taylor & Francis
Previous proposals to permit nonexponential free-path statistics in radiative transfer have
not included support for volume and boundary sources that are spatially uncorrelated from …

A reciprocal formulation of nonexponential radiative transfer. 2: Monte Carlo estimation and diffusion approximation

E d'Eon - Journal of Computational and Theoretical Transport, 2019 - Taylor & Francis
When lifting the assumption of spatially-independent scattering centers in classical linear
transport theory, collision rate is no longer proportional to angular flux/radiance because the …

A spectral approach for solving the nonclassical transport equation

R Vasques, LRC Moraes, RC Barros… - Journal of Computational …, 2020 - Elsevier
This paper introduces a mathematical approach that allows one to numerically solve the
nonclassical transport equation in a deterministic fashion using classical numerical …

An improved spectral approach for solving the nonclassical neutral particle transport equation

LRC Moraes, JK Patel, RC Barros… - Journal of Quantitative …, 2022 - Elsevier
An improved modification of the Spectral Approach (SA) used for approximating the
nonclassical neutral particle transport equation is described in this work. The term “Spectral” …

On the use of spherical harmonic approximations in nonclassical particle transport problems

SA Agbo, LRC Moraes, R Vasques - Journal of Quantitative Spectroscopy …, 2024 - Elsevier
Presented here is the application of the spherical harmonic expansion to the nonclassical
transport equation to derive a system of equations for the nonclassical flux moments, namely …

The nonclassical Boltzmann equation and diffusion-based approximations to the Boltzmann equation

M Frank, K Krycki, EW Larsen, R Vasques - SIAM Journal on Applied …, 2015 - SIAM
We show that several diffusion-based approximations (classical diffusion or SP_1, SP_2,
SP_3) to the linear Boltzmann equation can (for an infinite, homogeneous medium) be …

Novel analytical solution for the radiance in an anisotropically scattering medium

A Liemert, A Kienle - Applied optics, 2015 - opg.optica.org
We report on a novel analytical solution of the three-dimensional radiative transport
equation for the case of an infinitely extended anisotropically scattering medium that is …