Non-uniform B-spline curves with multiple shape parameters

Juan CAO; Guo-zhao WANG

doi:10.1631/jzus.C1000381

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Non-uniform B-spline curves with multiple shape parameters

计算机与自动化 | Updated：2022-08-31

- Non-uniform B-spline curves with multiple shape parameters
- Non-uniform B-spline curves with multiple shape parameters
- 信息与电子工程前沿（英文） 2011年12卷第10期页码：800-808
- Affiliations：
  
  1.School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
  2.Department of Mathematics, Zhejiang University, Hangzhou 310027, China
- Author bio：
  
  E-mail:juancao@xmu.edu.cn
  wanggz@zju.edu.cn
- Funds：
- DOI：10.1631/jzus.C1000381
  中图分类号：
- 收稿：2010-11-01，
  
  修回：2011-09-01，
  
  录用：2011-02-28，
  
  纸质出版：2011-10
- Accepted：
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Non-uniform B-spline curves with multiple shape parameters[J]. 信息与电子工程前沿（英文）, 2011,12(10):800-808.

Juan CAO, Guo-zhao WANG. Non-uniform B-spline curves with multiple shape parameters[J]. Frontiers of Information Technology & Electronic Engineering, 2011, 12(10): 800-808.
Non-uniform B-spline curves with multiple shape parameters[J]. 信息与电子工程前沿（英文）, 2011,12(10):800-808. DOI： 10.1631/jzus.C1000381.

Juan CAO, Guo-zhao WANG. Non-uniform B-spline curves with multiple shape parameters[J]. Frontiers of Information Technology & Electronic Engineering, 2011, 12(10): 800-808. DOI： 10.1631/jzus.C1000381.

摘要

Abstract

We introduce a kind of shape-adjustable spline curves deﬁned over a non-uniform knot sequence. These curves not only have the many valued properties of the usual non-uniform B-spline curves

but also are shape adjustable under ﬁxed control polygons. Our method is based on the degree elevation of B-spline curves

where maximum degrees of freedom are added to a curve parameterized in terms of a non-uniform B-spline. We also discuss the geometric eﬀect of the adjustment of shape parameters and propose practical shape modiﬁcation algorithms

which are indispensable from the user’s perspective.

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