Closed-form optimal quantizers and mean-square error formulas are derived for symmetric point sets on the sphere, establishing that optimal Voronoi cells are contiguous azimuthal blocks with midpoint representatives.
Lloyd,Least squares quantization in PCM, IEEE Transactions on Information Theory, vol
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Discrete Quantization on Spherical Geometries: Explicit Models, Computations, and Didactic Exposition
Closed-form optimal quantizers and mean-square error formulas are derived for symmetric point sets on the sphere, establishing that optimal Voronoi cells are contiguous azimuthal blocks with midpoint representatives.