Trigonometric polynomial B-spline with shape parameter

被引：6
|
作者：
Wang, WT [1 ]
Wang, GZ [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Inst Comp Graph & Image, Hangzhou 310027, Peoples R China
来源：
PROGRESS IN NATURAL SCIENCE-MATERIALS INTERNATIONAL | 2004年 / 14卷 / 11期
关键词：
trigonometric polynomial B-spline with shape parameter; basis function; CAGD;
D O I：
10.1080/10020070412331344741
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The basis function of n order trigonometric polynomial B-spline with shape parameter is constructed by an integral approach. The shape of the constructed curve can be adjusted by changing the shape parameter and it has most of the properties of B-spline. The ellipse and circle can be accurately represented by this basis function.
引用
收藏
页码：1023 / 1026
页数：4
相关论文
共 50 条
  • [1] Trigonometric polynomial B-spline with shape parameter
    WANG Wentao* and WANG Guozhao(Institute of Computer Graphics and Image
    [J]. Progress in Natural Science:Materials International, 2004, (11) : 87 - 90
  • [2] The Quadratic Trigonometric B-Spline Curve with a Shape Parameter
    Li, Juncheng
    Chen, Guohua
    Yang, Lian
    [J]. AUTOMATION EQUIPMENT AND SYSTEMS, PTS 1-4, 2012, 468-471 : 2463 - 2466
  • [3] Uniform trigonometric polynomial B-spline curves
    Yonggang Lü
    Guozhao Wang
    Xunnian Yang
    [J]. Science in China Series F Information Sciences, 2002, 45 : 335 - 343
  • [4] Uniform trigonometric polynomial B-spline curves
    Lü, YG
    Wang, GZ
    Yang, XN
    [J]. SCIENCE IN CHINA SERIES F, 2002, 45 (05): : 335 - 343
  • [5] Uniform trigonometric polynomial B-spline curves
    吕勇刚
    汪国昭
    杨勋年
    [J]. Science China(Information Sciences), 2002, (05) : 335 - 343
  • [6] PIECEWISE QUARTIC TRIGONOMETRIC POLYNOMIAL B-SPLINE CURVES WITH TWO SHAPE PARAMETERS
    Dube, Mridula
    Sharma, Reenu
    [J]. INTERNATIONAL JOURNAL OF IMAGE AND GRAPHICS, 2012, 12 (04)
  • [7] Hyperbolic polynomial uniform B-spline curves and surfaces with shape parameter
    Liu Xumin
    Xu Weixiang
    Guan Yong
    Shang Yuanyuan
    [J]. GRAPHICAL MODELS, 2010, 72 : 1 - 6
  • [8] Geometric Modeling Using New Cubic Trigonometric B-Spline Functions with Shape Parameter
    Majeed, Abdul
    Abbas, Muhammad
    Qayyum, Faiza
    Miura, Kenjiro T.
    Misro, Md Yushalify
    Nazir, Tahir
    [J]. MATHEMATICS, 2020, 8 (12) : 1 - 25
  • [9] A quadratic trigonometric B-Spline as an alternate to cubic B-spline
    Samreen, Shamaila
    Sarfraz, Muhammad
    Mohamed, Abullah
    [J]. ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (12) : 11433 - 11443
  • [10] Cubic TP B-Spline Curves with a Shape Parameter
    Dube, Mridula
    Sharma, Reenu
    [J]. INTERNATIONAL JOURNAL OF ENGINEERING RESEARCH IN AFRICA, 2013, 11 : 59 - 72
12345