TY - JOUR
T1 - Advances in Studies and Applications of Centroidal Voronoi Tessellations
AU - Qiang Du, Max Gunzburger & Lili Ju
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 2
SP - 119
EP - 142
PY - 2010
DA - 2010/03
SN - 3
DO - http://doi.org/10.4208/nmtma.2010.32s.1
UR - https://global-sci.org/intro/article_detail/nmtma/5992.html
KW - Voronoi tessellations, centroids, clustering, mesh generation and optimization, image
processing, model reduction, point sampling.
AB - <p style="text-align: justify;">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 &nbsp;point out
some outstanding issues that still need investigating.</p>