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2篇 您的检索式:作者名="Emelianenko Maria"
    题名 作者 年代 出处 被引量
1Convergence of the lloyd algorithn for computing centroidal Voronoi tessellation 显示文摘Du Qiang Emelianenko Maria Ju Li-li 2006Society for Industrial and Applied Mathematics2006,44,1:1
2Truncated Newton-Based Multigrid Algorithm for Centroidal Voronoi Diagram Calculation显示文摘In a variety of modern applications there arises a need to tessellate the domain into representative regions,called Voronoi cells.A particular type of such tessellations,called centroidal Voronoi tessellations or CVTs,are in big demand due to their optimality properties important for many applications.The availability of fast and reliable algorithms for their construction is crucial for their successful use in practical settings.This paper introduces a new multigrid algorithm for constructing CVTs that is based on the MG/Opt algorithm that was originally designed to solve large nonlinear optimization problems.Uniform convergence of the new method and its speedup comparing to existing techniques are demonstrated for linear and nonlinear densities for several 1d and 2d problems,and O(k)complexity estimation is provided for a problem with k generators.Zichao Di Maria Emelianenko Stephen Nash 2012Numerical Mathematics(Theory,Methods and Applications)2012,5,2:1
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