A Novel Algorithm for Sampling Uniformly in the Directional Space of a Cone

C.-M. WANG · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2006

We present a novel, simple, efficient algorithm to generate random samples uniformly on the directional space of a cone. This algorithm has three advantages over the conventional non-uniform approach. First, to the best of our knowledge, this algorithm is original for uniformly sampling smaller areas of cones. Second, it is faster. Third, it always generates valid samples, which is not possible for the conventional approach.

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