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为了进一步推广B样条曲线在各领域的应用,本文从B样条曲线的概念和定义出发,按节点矢量中节点的分布情况把B样条曲线划分成均匀B样条曲线、准均匀B样条曲线、分段贝齐尔曲线、一般非均匀B样条曲线4种类型,分别对它们的特点和实现方法进行了详细阐述,最后给出了一个完整的各种B样条曲线生成代码和运行结果,并进行了详细的对比分析。对于在几何造型和其它方面的应用具有一定的实际价值。
Abstract：To further promote the application in various fields,this paper described the basic concept and definition of B-spline Curve and they were divided into four types under nodes distribution of node vector.The four types are a uniform B-spline curve,a quasi-uniform B-spline curve,a sub-Bézier curve,and a general non-uniform B-spline curve.Four methods have been introduced in detail and analyzed comparatively.Their source codes,running results and a detailed comparative analysis were given.This paper has certain application value to implement the geometric modeling and others.
[1]Bézier P E.Example of an existing system in motor industry:the UNISURF system[J].Proc Roy Soc of London,1971,A321:207-218.
[2]Coons S A.Surfaces for computer aided design of space frms[R].Cambridge Mass:MIT Project MAC-TR-255,1964.
[3]Coons S A.Surfaces for computer aided design of space forms,MIT Project
[4]杜双兴,殷学文,李琪华.B-SPline高阶元方法在三维水弹性力学中的应用[J].船舶力学,2000,4(1):17-23.
[5]孙玉文,陈伟卿.B样条技术在RPM切片数据处理中的应用[J].航空精密制造技术,2002,38(4):30-32.
[6]葛玉琛,程昌年.实验数据的B样条压缩法[J].天津职业技术师范学院学报,2000,10(1):15-16.
[7]任重,杨灿军.陈鹰.轨迹规划中的B样条插值算法[J].机电工程,2001,18(5):38-39.
[8]Schoenberg I J.Contributions to the Problem of Approximationof Equidistant Data by Analytic Functions[J].Quart ApplMaths,1946,(4):45-99,112-141.
[9]Curry H B,Schoenberg I J.On Spline Distributions and TheirLimits:The Polya Distribution Functions[J].American Mathe-matical Soc,1947,53:1114.
[10]De Boor C.On Calculating with B-Spline[J].J Approx Theo-ry,1972,(6):50-62.
[11]De Boor C.A Practical Guide of Splines[M].Newyork:Springer,1978.
[12]Cox M.G.The numerical Evaluation of B-Splines[J].J INSTMaths Application,1972,10:134-149.
基本信息:
DOI：10.13880/j.cnki.65-1174/n.2009.01.029
中图分类号:TP391.41
引用信息:
[1]王增波,彭仁忠,宫兆刚.B样条曲线生成原理及实现[J].石河子大学学报(自然科学版),2009,27(01):118-121.DOI:10.13880/j.cnki.65-1174/n.2009.01.029.
基金信息:
湖南省教育厅科研项目(07B009)