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Importance sampling the distribution of visible GGX normals requires samplingthose of a hemisphere. In this work, we introduce a novel method for samplingsuch visible normals. Our method builds upon the insight that a hemisphericalmirror reflects parallel light rays uniformly within a solid angle shaped as aspherical cap. This spherical cap has the same apex as the hemisphericalmirror, and its aperture given by the angle formed by the orientation of thatapex and the direction of incident light rays. Based on this insight, we sampleGGX visible normals as halfway vectors between a given incident direction anddirections drawn from its associated spherical cap. Our resultingimplementation is even simpler than that of Heitz and leads to up to systematicspeed-ups in our benchmarks.

Sampling Visible GGX Normals with Spherical Caps