Representing circles with five control points

被引：10
|
作者：
Carnicer, JM [1 ]
Mainar, E
Peña, JM
机构：
[1] Univ Zaragoza, Dept Matemat Aplicada, E-50009 Zaragoza, Spain
[2] Univ Cantabria, Dept Matemat Estadist & Computac, E-39005 Santander, Spain
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2003年 / 20卷 / 8-9期
关键词：
trigonometric curves; shape preserving; totally positive basis; critical length;
D O I：
10.1016/j.cagd.2003.06.007
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We show that five is the minimal dimension of a space required to draw a complete circle with a unique control polygon. We identify all five-dimensional spaces invariant under translations and reflections where we can find shape preserving representations of a circle parameterized by its arc length. (C) 2003 Elsevier B.V. All rights reserved.
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页码：501 / 511
页数：11
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