A Centroidal Voronoi Tessellation Based Visualization Algorithm for Time-Dependent Flow Field
نویسندگان
چکیده
منابع مشابه
Centroidal Voronoi Tessellation Algorithms for Image Processing
Centroidal Voronoi tessellations (CVT’s) are special Voronoi tessellations for which the generators of the tessellation are also the centers of mass (or means) of the Voronoi cells or clusters. CVT’s have been found to be useful in many disparate and diverse settings. In this paper, CVT-based algorithms are developed for image compression, image segmenation, and multichannel image restoration a...
متن کاملLp Centroidal Voronoi Tessellation and its applications
This paper introduces Lp-Centroidal Voronoi Tessellation (LpCVT), a generalization of CVT that minimizes a higher-order moment of the coordinates on the Voronoi cells. This generalization allows for aligning the axes of the Voronoi cells with a predefined background tensor field (anisotropy). Lp-CVT is computed by a quasi-Newton optimization framework, based on closed-form derivations of the ob...
متن کاملCentroidal Voronoi Tessellation-Based Reduced-Order Modeling of Complex Systems
A reduced-order modeling methodology based on centroidal Voronoi tessellations (CVTs) is introduced. CVTs are special Voronoi tessellations for which the generators of the Voronoi diagram are also the centers of mass (means) of the corresponding Voronoi cells. For discrete data sets, CVTs are closely related to the h-means and k-means clustering techniques. A discussion of reduced-order modelin...
متن کاملCentroidal Voronoi Tessellation Based Proper Orthogonal Decomposition Analysis
Proper orthogonal decompositions (POD) have been used to systematically extract the most energetic modes while centroidal Voronoi tessellations (CVT) have been used to systematically extract best representatives. We combine the ideas of CVT and POD into a hybrid method for model reduction. The optimality of such an approach and various practical implementation strategies are discussed.
متن کاملMesh Optimization Based on the Centroidal Voronoi Tessellation
The subject of mesh generation and optimization is very important in many scientific applications. In this paper, we investigate the issue of mesh optimization via the construction of Centroidal Voronoi Tessellations. Given some initial Delaunay meshes with only average quality, it is shown that the CVT based mesh optimization generates a robust, high quality mesh which does not rely critically...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2018
ISSN: 2324-7991,2324-8009
DOI: 10.12677/aam.2018.71015