30 citations · 124 across the 12 of their papers we have counts for
13 papers
A Generalized Ray Formulation For Wave-Optics Rendering
Shlomi Steinberg, Ravi Ramamoorthi, Benedikt Bitterli +3
Under ray-optical light transport, the classical ray serves as a linear and local "point query" of light's behaviour. Linearity and locality are crucial to the formulation of sophi…
A physical model and a Monte Carlo estimate for the specific intensity spatial derivative, angular derivative and geometric sensitivity
Paule Lapeyre, Zili He, Stéphane Blanco +11
Starting from the radiative transfer equation and its usual boundary conditions, the objective of this work is to design Monte Carlo algorithms estimating the specific intensity sp…
A Position-Free Path Integral for Homogeneous Slabs and Multiple Scattering on Smith Microfacets
Benedikt Bitterli, Eugene d'Eon
We consider the problem of multiple scattering on Smith microfacets. This problem is equivalent to computing volumetric light transport in a homogeneous slab. Although the symmetry…
An analytic BRDF for materials with spherical Lambertian scatterers
Eugene d'Eon
We present a new analytic BRDF for porous materials comprised of spherical Lambertian scatterers. The BRDF has a single parameter: the albedo of the Lambertian particles. The resul…
An unbiased ray-marching transmittance estimator
Markus Kettunen, Eugene d'Eon, Jacopo Pantaleoni +1
We present an in-depth analysis of the sources of variance in state-of-the-art unbiased volumetric transmittance estimators, and propose several new methods for improving their eff…
Green's functions for non-classical transport with general anisotropic scattering
Eugene d'Eon
In non-classical linear transport the chord length distribution between collisions is non-exponential and attenuation does not respect Beer's law. Generalized radiative transfer (G…
Radiative transfer in half spaces of arbitrary dimension
Eugene d'Eon, Norman J. McCormick
We solve the classic albedo and Milne problems of plane-parallel illumination of an isotropically-scattering half-space when generalized to a Euclidean domain for ar…
A Reciprocal Formulation of Nonexponential Radiative Transfer. 3: Binary Mixtures
Eugene d'Eon
We derive the form of reciprocal generalized radiative transfer (RGRT) that includes the Levermore-Pomraning attenuation law for paths leaving a deterministic origin. The resulting…
A Reciprocal Formulation of Nonexponential Radiative Transfer. 2: Monte Carlo Estimation and Diffusion Approximation
Eugene d'Eon
When lifting the assumption of spatially-independent scattering centers in classical linear transport theory, collision rate is no longer proportional to angular flux / radiance be…
A reciprocal formulation of non-exponential radiative transfer. 1: Sketch and motivation
Eugene d'Eon
Previous proposals to permit non-exponential free-path statistics in radiative transfer have not included support for volume and boundary sources that are spatially uncorrelated fr…
Isotropic Scattering in a Flatland Half-Space
Eugene d'Eon, M. M. R. Williams
We solve the Milne, constant-source and albedo problems for isotropic scattering in a two-dimensional "Flatland" half-space via the Wiener-Hopf method. The Flatland -function is…
A Dual-Beam Method-of-Images 3D Searchlight BSSRDF
Eugene d'Eon
We present a novel BSSRDF for rendering translucent materials. Angular effects lacking in previous BSSRDF models are incorporated by using a dual-beam formulation. We employ a Plac…
Rigorous asymptotic and moment-preserving diffusion approximations for generalized linear Boltzmann transport in arbitrary dimension
Eugene d'Eon
We derive new diffusion solutions to the monoenergetic generalized linear Boltzmann transport equation (GLBE) for the stationary collision density and scalar flux about an isotropi…