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In this paper we present a simple and efficient algorithm for generating uniformaly distributed samples on the unit sphere based on an Archimedes' theorem. The implementation is straightforward and may be easily extended to include stratified sampling for variance reduction. Applications in image synthesis include solid angle measurement, irradiance computation, and rendering equation solution for geometrically complex environments.
Archiniedes' theorem, axial projection, Monte Carlo, solid angle, spherical sampling
Min-Zhi Shao and Norman Badler, "Spherical Sampling by Archimedes' Theorem", . January 1996.
Date Posted: 25 June 2007