Quantization and centroidal Voronoi tessellations for probability measures on dyadic Cantor sets

By Mrinal Kanti Roychowdhury. 2015

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In this paper, we investigate the optimal sets of $n$-means and the centroidal Voronoi tessellations with $n$ generators for a Borel probability measure $P$ on $\mathbb R$ supported by a dyadic Cantor set generated by two self-similar mappings with similarity ratios $r$ where $0.4364590141\leq r\leq 0.4512271429$.

Subfields: Computer Networks and Communications, Computer Vision and Pattern Recognition

View Paper: https://www.semanticscholar.org/paper/e35e386b7e97f3269c2115dee1a5d32774f1bcf0