Area-Preserving Parameterizations for Spherical Ellipses
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
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.
Description
@article{10.1111:cgf.13234,
journal = {Computer Graphics Forum},
title = {{Area-Preserving Parameterizations for Spherical Ellipses}},
author = {Guillén, Ibón and Ureña, Carlos and King, Alan and Fajardo, Marcos and Georgiev, Iliyan and López-Moreno, Jorge and Jarabo, Adrián},
year = {2017},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.13234}
}