Area-preserving parameterizations for spherical ellipses
EGSR 2017
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 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.
Resources
- paper
- supplemental document: numerical validation and additional results
- slides: from the conference presentation
Videos
BibTeX reference
@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)},
Number = {4},
Title = {Area-Preserving Parameterizations for Spherical Ellipses},
Volume = {36},
Year = {2017}
}