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.

引用

页码：501 / 511

页数：11

共 17 条

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