兰州大学机构库 >数学与统计学院
基于分块矩阵求导的Bézier曲线降阶方法
Alternative TitleA Method for Degree Reduction of Bézier Curve Based on Partitioned Matrix Derivation
杨艳
Thesis Advisor伍渝江
2013-12-07
Degree Grantor兰州大学
Place of Conferral兰州
Degree Name硕士
KeywordBézier曲线 降阶 分块矩阵求导 中点分割
AbstractBézier曲线的降阶逼近有着实际应用价值,但是逼近程度受端点约束条件的影响。首先简单介绍了Bézier曲线的定义和性质,以及Bézier曲线降阶逼近的概念与意义。然后对降阶逼近中的三种著名方法做了详细分析和实验对比。接着提出了基于分块矩阵求导的降阶逼近方法,这种方法能够产生降多阶,且满足端点约束条件的显式表达式。最后将中点分割法与分块矩阵求导的降阶方法结合,应用到数值实验中,验证了该算法的优越性。
Other AbstractThe approximation of degree reduction to Bézier curve has its practical application value but limited by constrained condition of endpoints. The essay first introduces Bézier curve with definition and properties, also including the definition and purpose of degree reduction of Bézier curve. After thoroughly analysis and experimental compare of three famous methods in degree reduction approximation, it comes up a new method for degree reduction approximation based on partitioned matrix derivation. This new method can produce explicit formulation with multi-degree reduction and satisfies constrained condition of endpoints. Finally combined mid-point segmentation with partitioned matrix’s derivation and put them into numerical experiment show the advantages of this algorithm.
URL查看原文
Language中文
Document Type学位论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/225179
Collection数学与统计学院
Recommended Citation
GB/T 7714
杨艳. 基于分块矩阵求导的Bézier曲线降阶方法[D]. 兰州. 兰州大学,2013.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Altmetrics Score
Google Scholar
Similar articles in Google Scholar
[杨艳]'s Articles
Baidu academic
Similar articles in Baidu academic
[杨艳]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[杨艳]'s Articles
Terms of Use
No data!
Social Bookmark/Share
No comment.
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.