Proceedings: GI 2011

A mathematical framework for efficient closed-form single scattering

Vincent Pegoraro, Mathias Schott, Philipp Slusallek

Proceedings of Graphics Interface 2011: St. John’s, Newfoundland, Canada, 25 - 27 May 2011, 151-158

  • BibTex

    author = {Pegoraro, Vincent and Schott, Mathias and Slusallek, Philipp},
    title = {A mathematical framework for efficient closed-form single scattering},
    booktitle = {Proceedings of Graphics Interface 2011},
    series = {GI 2011},
    year = {2011},
    issn = {0713-5424},
    isbn = {978-1-4503-0693-5},
    location = {St. John{\textquoteright}s, Newfoundland, Canada},
    pages = {151--158},
    numpages = {8},
    publisher = {Canadian Human-Computer Communications Society},
    address = {Toronto, Ontario, Canada},


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.