In geometry, a centroidal Voronoi tessellation (CVT) is a special type of Voronoi tessellation or Voronoi diagrams. A Voronoi tessellation is calledâ€¦Â (More)

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2011

2011

- Guodong Rong, Miao Jin, Liang Shuai, Xiaohu Guo
- Computer Aided Geometric Design
- 2011

The centroidal Voronoi tessellation (CVT) has found versatile applications in geometric modeling, computer graphics, andâ€¦Â (More)

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2011

2011

- Dong-Ming Yan, Kai Wang, Bruno LÃ©vy, Laurent Alonso
- 2011 Eighth International Symposium on Voronoiâ€¦
- 2011

In this paper, we propose an efficient algorithm to compute the centroidal Voronoi tessellation in 2D periodic space. We firstâ€¦Â (More)

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2010

2010

- Guodong Rong, Miao Jin, Xiaohu Guo
- Symposium on Solid and Physical Modeling
- 2010

The centroidal Voronoi tessellation (CVT) has found versatile applications in geometric modeling, computer graphics, andâ€¦Â (More)

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Highly Cited

2010

Highly Cited

2010

- Bruno LÃ©vy, Yang Liu
- ACM Trans. Graph.
- 2010

This paper introduces Lp-Centroidal Voronoi Tessellation (LpCVT), a generalization of CVT that minimizes a higher-order moment ofâ€¦Â (More)

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Highly Cited

2009

Highly Cited

2009

- Yang Liu, Wenping Wang, +4 authors Chenglei Yang
- ACM Trans. Graph.
- 2009

Centroidal Voronoi tessellation (CVT) is a particular type of Voronoi tessellation that has many applications in computationalâ€¦Â (More)

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2006

2006

- John Burkardt, Max Gunzburger, Hyung-Chun Lee
- SIAM J. Scientific Computing
- 2006

A reduced-order modeling methodology based on centroidal Voronoi tessellations (CVTs) is introduced. CVTs are special Voronoiâ€¦Â (More)

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Highly Cited

2006

Highly Cited

2006

- Qiang Du, Maria Emelianenko, Lili Ju
- SIAM J. Numerical Analysis
- 2006

Centroidal Voronoi tessellations (CVTs) are Voronoi tessellations of a bounded geometric domain such that the generating pointsâ€¦Â (More)

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2006

2006

- DeSheng Wang, Qiang Du
- 2006

The subject of mesh generation and optimization is very important in many scientific applications. In this paper, we investigateâ€¦Â (More)

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2005

2005

Centroidal Voronoi tessellations (CVTâ€™s) are special Voronoi tessellations for which the generators of the tessellation are alsoâ€¦Â (More)

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Highly Cited

1999

Highly Cited

1999

- Qiang Du, Vance Faber, Max Gunzburger
- SIAM Review
- 1999

A centroidal Voronoi tessellation is a Voronoi tessellation whose generating points are the centroids (centers of mass) of theâ€¦Â (More)

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