Algebraic-trigonometric-twlce-combined Bézier-like curves(代数三角二阶混合式的拟Bézier曲线)

CHENWen-yu(陈文喻); WANGGuo-zhao(汪国昭)

doi:zjup/1008-9497.2007.34.6.615-621

Zhejiang Daxue xuebao. Lixue ban (Nov 2007)

Algebraic-trigonometric-twlce-combined Bézier-like curves(代数三角二阶混合式的拟Bézier曲线)

CHENWen-yu(陈文喻),
WANGGuo-zhao(汪国昭)

Affiliations

CHENWen-yu(陈文喻): Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou 310027, China(浙江大学数学系计算机图形图象研究所，浙江　杭州　310027)
WANGGuo-zhao(汪国昭): Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou 310027, China(浙江大学数学系计算机图形图象研究所，浙江　杭州　310027)

DOI
Journal volume & issue: Vol. 34, no. 6
pp. 615 – 621

Abstract

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在空间 Ωn = span {cos t，sin t，t cos t，t sin t，1，t， t2，…，tn-4}（n≥4）中构造拟Bernstein基，并用其来构造Ωn中的曲线，称为拟Bézier曲线，该类曲线具有很多与Bézier曲线类似的性质，利用这些性质可以对曲线进行升阶，升阶得到的控制多边形序列收敛到曲线.拟Bézier曲线这类曲线可以精确表示圆锥螺线，圆的渐开线等超越曲线.

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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