3 years ago

Area-preserving parameterizations for spherical ellipses.

Adrian Jarabo, Alan King, Iliyan Georgiev, Carlos Ureña, Ibón Guillén, Marcos Fajardo, Jorge López-Moreno

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.

Publisher URL: http://arxiv.org/abs/1805.09048

DOI: arXiv:1805.09048v1

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