RATIONAL BÉZIER CURVES WITH INFINITELY MANY INTEGRAL POINTS

被引：0

作者：

Dospra, Petroula ^{[1
]}

机构：

[1] Univ West Macedonia, Kila 50150, Kozani, Greece

来源：

ARCHIVUM MATHEMATICUM | 2023年 / 59卷 / 04期

关键词：

Bezier curve; rational Bezier curve; curve of genus 0; integral point;

D O I：

10.5817/AM2023-4-339

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider rational Bezier curves with control points having rational coordinates and rational weights, and we give necessary and sufficient conditions for such a curve to have infinitely many points with integer coefficients. Furthermore, we give algorithms for the construction of these curves and the computation of theirs points with integer coefficients.

引用

页码：339 / 349

页数：11

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