News
- September, 2017: Web launched.
- September, 2017: Preprint available (see Downloads).
- January, 2020: Code released (see Downloads).
Abstract
We present new methods for uniformly sampling the solid angle subtended by a disk. To achieve this, we devise two novel area-preserving mappings from the unit square [0,1]2 to a spherical ellipse (i.e. the projection of the disk onto the unit sphere). These mappings allow for low-variance stratified sampling of direct illumination from disk-shaped light sources. We discuss how to efficiently incorporate our methods into a production renderer and demonstrate the quality of our maps, showing significantly lower variance than previous work.
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Bibtex
@article{Guillen:2017:Ellipses,
author = {Guill\'{e}n, Ib\'{o}n and Ure\~{n}a, Carlos and King, Alan and Fajardo, Marcos and Georgiev, Iliyan and L\'{o}pez-Moreno, Jorge and Jarabo, Adrian},
journal = {Computer Graphics Forum (Proceedings of EGSR)},
title = {Area-Preserving Parameterizations for Spherical Ellipses},
volume = {36},
number = {4},
year = {2017}
}