A jump-diffusion process along with a particle scheme is devised as an accurate and efficient solution to the Boltzmann equation. The proposed (hereafter Gamma-Boltzmann model) match evolution of all moments up heat fluxes while attaining correct Prandtl number 2/3 for monatomic gas Maxwellian molecular potential. This approximation model not subject issues associated previously developed Fokke...

We propose a method which utilizes the radiative transfer equation in optical tomography. In this approach, the radiative transfer equation is used as light propagation model in those regions in which the assumptions of the diffusion theory are not valid and the diffusion approximation is used elsewhere. Both the radiative transfer equation and the diffusion approximation are numerically solved...

This technical report provides a description and comparison of classical and improved diffusion theory as used for rendering subsurface scattering in computer graphics. We discuss the searchlight problem and describe the diffusion equation and Green’s functions of each diffusion theory. We discuss the commonly used single-depth approximation leading to the diffusion dipole and elaborate on its ...