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.
Zador, Asymptotic quantization error of continuous signals and the quantization dimension,IEEE Trans
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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.