# Discrete Construction of Power Network Voronoi Diagram

• Yili Tan
• Ye Zhao
• Yourong Wang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7030)

## Abstract

Power Network Voronoi diagrams are difficult to construct when the position relation of road segments are complicated. In traditional algorithm, The distance between objects must be calculated by selecting the minimum distance to their shared borders and doubling this value. When road segments cross or coincide with each other, production process will be extremely complex because we have to consider separately these parts. In this paper, we use discrete construction of network Voronoi diagrams. The algorithm can get over all kinds of shortcomings that we have just mentioned. So it is more useful and effective than the traditional ones. We also construct model according the algorithm. And the application example shows that the algorithm is both simple and useful, and it is of high potential value in practice.

## Keywords

Network voronoi diagram discrete Power network Voronoi diagrams

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## Authors and Affiliations

• Yili Tan
• 1
• Ye Zhao
• 2
• Yourong Wang
• 3
1. 1.College of ScienceHebei United UniversityTangshanChina
2. 2.Department of Mathematics and PhysicsShijiazhuang Tiedao UniversityShijiazhuangChina
3. 3.Department of BasicTangshan CollegeTangshanChina