[PDF][PDF] Multi-scale modeling and rendering of granular materials.
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 …
structures made of sand, snow, or sugar—where an aggregate object is composed of many …
A radiative transfer framework for spatially-correlated materials
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 …
correlation of scattering particles in a medium. Most previous works in graphics have …
State of the Art in Efficient Translucent Material Rendering with BSSRDF
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 …
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 …
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 …
transport theory, collision rate is no longer proportional to angular flux/radiance because the …
A spectral approach for solving the nonclassical transport equation
This paper introduces a mathematical approach that allows one to numerically solve the
nonclassical transport equation in a deterministic fashion using classical numerical …
nonclassical transport equation in a deterministic fashion using classical numerical …
An improved spectral approach for solving the nonclassical neutral particle transport equation
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” …
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
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 …
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
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 …
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 …
equation for the case of an infinitely extended anisotropically scattering medium that is …