Curve desigh of multi-parameter uniform B-spline blending function of order four(多形状参数的四阶均匀B样条曲线设计)

ZUOChuan-gui(左传桂); WANGGuo-zhao(汪国昭)

doi:zjup/1008-9497.2007.34.4.401-404

Zhejiang Daxue xuebao. Lixue ban (Jul 2007)

Curve desigh of multi-parameter uniform B-spline blending function of order four(多形状参数的四阶均匀B样条曲线设计)

ZUOChuan-gui(左传桂),
WANGGuo-zhao(汪国昭)

Affiliations

ZUOChuan-gui(左传桂): 1.Institute of Image Processing and Computer Graphics, Department of Mathematics, Zhejiang University, Hangzhou 310027, China( 1.浙江大学数学系计算机图像图形研究所，浙江　杭州　310027)
WANGGuo-zhao(汪国昭): 1.Institute of Image Processing and Computer Graphics, Department of Mathematics, Zhejiang University, Hangzhou 310027, China( 1.浙江大学数学系计算机图像图形研究所，浙江　杭州　310027)

DOI
Journal volume & issue: Vol. 34, no. 4
pp. 401 – 404

Abstract

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给出带有四个形状参数的四阶均匀B样条调配函数，它以三次均匀B样条基函数为特殊情况.基于所给出的调配函数，得到带多个形状参数的分段多项式曲线的生成方法.通过改变形状参数的取值，可以调整曲线的形状.选取不同的形状参数值，可以得到不同位置的C2连续曲线，这些曲线与三次均匀B样条曲线有相同的端点性质，并且给出曲线设计的实例.

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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