文章基本信息

标题：Distance Trisector of a Segment and a Point
本地全文：下载
作者：Jinhee CHUN ; Yuji OKADA ; Takeshi TOKUYAMA 等
期刊名称：Interdisciplinary Information Sciences
印刷版ISSN：1340-9050
电子版ISSN：1347-6157
出版年度：2010
卷号：16
期号：1
页码：119-125
DOI：10.4036/iis.2010.119
出版社：The Editorial Committee of the Interdisciplinary Information Sciences
摘要：Motivated by the work of Asano et al. [1], we consider the distance trisector problem and zone diagram considering segments in the plane as the input geometric objects. As the most basic case, we first consider the pair of curves (distance trisector curves) trisecting the distance between a point and a line, as shown in Figure 1. This is a natural extension of the bisector curve (that is a parabola) of a point and a line. In this paper, we show that these trisector curves C ₁ and C ₂ exist and are unique.
关键词：Distane trisector;Zone diagram;Voronoi diagram;Computational geometry