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Measure of Tessellation Quality of Voronoï Meshes

This article introduces a measure of the quality of Voronoi tessellations resulting from various mesh generators.Mathematical models of a number of mesh generators are given. A main result in this work is the identification ofthose mesh generators that produce the highest quality Voronoi tessellations. Examples illustrating the application ofthe quality measure are given in comparing Voronoi tessellations of digital images.