Publication
A Mathematical Framework for Efficient Closed-Form Single Scattering
Philipp Slusallek; Vincent Pegoraro; Mathias Schott
In: Stephen Brooks; Pourang Irani (Hrsg.). Proceedings of Graphics Interface 2011. Graphics Interface (GI-2011), May 25-27, St. John's, Newfoundland, Canada, Canadian Human-Computer Communications Society, 2011.
Abstract
Analytic approaches to efficiently simulate accurate light transport
in homogeneous participating media have recently received attention
in the graphics community, and although a closed-form solution
to the single-scattering air-light integral has been derived for
a generic representation of 1-D angular distributions, its high order
of computational complexity alas limits its practical applicability.
In this paper, we introduce alternative algebraic formulations of the
solution that entirely preserve its closed-form nature while effectively
reducing its order of complexity. The analytic derivations
yield a significant decrease in the computational cost of the evaluation
scheme, and the substantial gains in performance achieved by
the method make high-quality light transport simulation considerably
more applicable to both real-time and off-line rendering.