Centroidal Voronoi Tessellation of Streamlines for Flow Visualization

2013 ◽  
Author(s):  
Wenjie Liu ◽  
Lin Lu ◽  
Bruno Levy ◽  
Chenglei Yang ◽  
Xiangxu Meng
Keyword(s):  
Flow Visualization ◽  
Voronoi Tessellation ◽  
Centroidal Voronoi Tessellation

Mesh clustering by approximating centroidal Voronoi tessellation

2009 ◽  
Author(s):  
Fengtao Fan ◽  
Fuhua (Frank) Cheng ◽  
Conglin Huang ◽  
Yong Li ◽  
Jianzhong Wang ◽  
...  
Keyword(s):  
Voronoi Tessellation ◽  
Centroidal Voronoi Tessellation

Tools for Minimizing Probabilistic Confidence Intervals

2005 ◽  
Author(s):  
Brian K. Beachkofski ◽  
Ramana V. Grandhi
Keyword(s):  
Confidence Interval ◽  
Evolutionary Algorithms ◽  
Confidence Intervals ◽  
Sampling Methods ◽  
Voronoi Tessellation ◽  
Common Goal ◽  
Efficient Sampling ◽  
Centroidal Voronoi Tessellation ◽  
Complex Engineering ◽  
Computational Budget

For probabilistic designs or assessments to be acceptable, they must have the statistically robust confidence intervals provided by sampling methods. However, sample-based analyses require the number of function evaluations to be so great as to be impractical for many complex engineering applications. Efficient sampling methods allow probabilistic analysis on more applications than basic methods, although they still require a significant computational budget. This paper reviews a series of tools that aim to reduce variance in individual failure rate estimates which would reduce the confidence interval for the same number of evaluations. Several methods share a common goal, lowering the sample discrepancy within the sample space, that will create near optimal low-discrepancy sample sets. The optimization approaches include evolutionary algorithms, piecewise optimization, and centroidal Voronoi tessellation. The results of the optimization procedures show a much lower discrepancy than previous methods.

scholarly journals A fuzzy edge-weighted centroidal Voronoi tessellation model for image segmentation

2016 ◽  
Vol 71 (11) ◽  
pp. 2272-2284 ◽  
Author(s):  
Xiaochuan Fan ◽  
Lili Ju ◽  
Xiaoqiang Wang ◽  
Song Wang
Keyword(s):  
Image Segmentation ◽  
Voronoi Tessellation ◽  
Centroidal Voronoi Tessellation

Formations with Decentralized Centroidal Voronoi Tessellation Algorithm

2009 ◽  
Vol 42 (22) ◽  
pp. 13-18
Author(s):  
Joshua S. Adams ◽  
Wei Sun ◽  
YangQuan Chen
Keyword(s):  
Voronoi Tessellation ◽  
Centroidal Voronoi Tessellation
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