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- W4297917059 abstract "We approximate the uniform measure on an equilateral triangle by a measure supported on $n$ points. We find the optimal sets of points ($n$-means) and corresponding approximation (quantization) error for $nleq4$, give numerical optimization results for $nleq 21$, and a bound on the quantization error for $ntoinfty$. The equilateral triangle has particularly efficient quantizations due to its connection with the triangular lattice. Our methods can be applied to the uniform distributions on general sets with piecewise smooth boundaries." @default.
- W4297917059 created "2022-10-01" @default.
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- W4297917059 date "2015-08-03" @default.
- W4297917059 modified "2023-10-14" @default.
- W4297917059 title "Quantization for uniform distributions on equilateral triangles" @default.
- W4297917059 doi "https://doi.org/10.48550/arxiv.1508.00498" @default.
- W4297917059 hasPublicationYear "2015" @default.
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