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power图
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  power diagram
     Research on Properties of Power Diagram and Its Construction Algorithm
     Power图的性质及构造算法研究
短句来源
     In the end, this paper develops an algorithm for computing the Power diagram, which is based on the principle that the Power diagram of a weighted point set is the line dual graph of the regular triangulation of it, and examples are given to illustrate its efficiency.
     最后 ,给出了平面点集的 Power图的构造算法 ,该算法利用 Power图与正则三角化互为对偶的原理 ,在点集的正则三角化的基础上构造 Power图 ,同时给出了实例以说明算法的有效性 .
短句来源
     Power diagram of a weighted point set is the generalization of the Voronoi diagram of a point set. It is especially appropriate for solving the geometric problems concerning spheres(circles).
     点集的 Power图是点集 Voronoi图的推广 ,特别适合用来解决涉及球 (圆 )的几何问题 .
短句来源
     This paper first gives a geometric proof of the properties of the Power diagram.
     文中首先对 Power图的基本性质进行了几何化的证明 ;
短句来源
     And then, it studies the minus weights' influence on the Power diagram, and points out that the weights of the points can be minus in the theory of Power diagram. In this sense, the application of the Power diagram can be extended to the field containing minus weights.
     之后 ,研究了权为负数时对 Power图的影响 ,指出在 Power图的理论中允许权为负数 ,从而 Power图可以应用到具有负权性质的领域 ;
短句来源
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  相似匹配句对
     Direct Construction of 2D Power Diagram by Growing Circles
     Power的离散生成
短句来源
     N(Z).
     N(Z)的和.
短句来源
     The S. C.
     C.
短句来源
     Research on Properties of Power Diagram and Its Construction Algorithm
     Power的性质及构造算法研究
短句来源
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  power diagram
The algorithm employs the Laguerre Voronoi (power) diagram and a method for computing the volume of the intersection of a simplex and a sphere exactly.
      
Dissecting Euclidean d -space with the power diagram of n weighted point sites partitions a given m -point set into clusters, one cluster for each region of the diagram.
      
As a corollary, there always exists a power diagram whose regions partition a given d -dimensional m -point set into clusters of prescribed sizes, no matter where the sites are placed.
      
The aforementioned iterative method for approximating the desired power diagram applies to continuous distributions as well.
      
Using the Offset-Power Diagram to Monitor the Local Linear Power Density of Fuel Elements in a VVéR-1000 Core
      
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Power diagram of a weighted point set is the generalization of the Voronoi diagram of a point set. It is especially appropriate for solving the geometric problems concerning spheres(circles). This paper first gives a geometric proof of the properties of the Power diagram. And then, it studies the minus weights' influence on the Power diagram, and points out that the weights of the points can be minus in the theory of Power diagram. In this sense, the application of the Power diagram can be extended to the field...

Power diagram of a weighted point set is the generalization of the Voronoi diagram of a point set. It is especially appropriate for solving the geometric problems concerning spheres(circles). This paper first gives a geometric proof of the properties of the Power diagram. And then, it studies the minus weights' influence on the Power diagram, and points out that the weights of the points can be minus in the theory of Power diagram. In this sense, the application of the Power diagram can be extended to the field containing minus weights. In the end, this paper develops an algorithm for computing the Power diagram, which is based on the principle that the Power diagram of a weighted point set is the line dual graph of the regular triangulation of it, and examples are given to illustrate its efficiency.

点集的 Power图是点集 Voronoi图的推广 ,特别适合用来解决涉及球 (圆 )的几何问题 .文中首先对 Power图的基本性质进行了几何化的证明 ;之后 ,研究了权为负数时对 Power图的影响 ,指出在 Power图的理论中允许权为负数 ,从而 Power图可以应用到具有负权性质的领域 ;最后 ,给出了平面点集的 Power图的构造算法 ,该算法利用 Power图与正则三角化互为对偶的原理 ,在点集的正则三角化的基础上构造 Power图 ,同时给出了实例以说明算法的有效性 .

Power diagram generalized the Voronoi diagram by assigning weight w i to each given point p i. A straight forward way of constructing Power diagram is presented. Using the Power distance w i as radius, construct circles with each p i as center. Filling all these circles with different colored pixels and propagating the boundary of all circles at the same speed until no blank space is left. The new boundaries surrounding p i present the required Power diagram. Such an approach is more efficient than the...

Power diagram generalized the Voronoi diagram by assigning weight w i to each given point p i. A straight forward way of constructing Power diagram is presented. Using the Power distance w i as radius, construct circles with each p i as center. Filling all these circles with different colored pixels and propagating the boundary of all circles at the same speed until no blank space is left. The new boundaries surrounding p i present the required Power diagram. Such an approach is more efficient than the traditional way of first generating Voronoi diagram and then converting it to Power diagram.

Power图是一种特殊的加权Voronoi图 ,该图中每个生成元点 pi 都带有权值wi 给出了一种直接构造Power图的算法 以每个生成元点 pi 为圆心 ,Power距离wi为半径画圆 ;然后将这些圆以不同颜色填充 ,并以相同速率向外扩展这些圆的边界 ,直到屏幕上所有像素点都涂上颜色为止 ,环绕 pi 的新边界构成Power图 该算法改进了在Voronoi图基础上构造Power图的传统方法 ,具有较高的效率

 
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