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Advances in Studies and Applications of Centroidal Voronoi Tessellations

Advances in Studies and Applications of Centroidal Voronoi Tessellations
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Year:    2010

Numerical Mathematics: Theory, Methods and Applications, Vol. 3 (2010), Iss. 2 : pp. 119–142

Abstract

Centroidal Voronoi tessellations (CVTs) have become a useful tool in many applications ranging from geometric modeling, image and data analysis, and numerical partial differential equations, to problems in physics, astrophysics, chemistry, and biology. In this paper, we briefly review the CVT concept and a few of its generalizations and well-known properties. We then present an overview of recent advances in both mathematical and computational studies and in practical applications of CVTs. Whenever possible, we  point out some outstanding issues that still need investigating.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/nmtma.2010.32s.1

Numerical Mathematics: Theory, Methods and Applications, Vol. 3 (2010), Iss. 2 : pp. 119–142

Published online:    2010-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    24

Keywords:    Voronoi tessellations centroids clustering mesh generation and optimization image processing model reduction point sampling.

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