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.
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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.