C-shaped G2 Hermite interpolation by rational cubic Bezier curve with conic precision

被引：6
|
作者：
Li, Yajuan [1 ]
Deng, Chongyang [1 ]
Ma, Weiyin [2 ]
机构：
[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China
[2] City Univ Hong Kong, Dept Mech & Biomed Engn, Kowloon, Hong Kong, Peoples R China
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2014年 / 31卷 / 05期
关键词：
Rational conic Bezier curve; Rational cubic Bezier curve; G(2) Hermite interpolation; Conic precision;
D O I：
10.1016/j.cagd.2014.03.002
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We present a simple method for C-shaped G(2) Hermite interpolation by a rational cubic Bezier curve with conic precision. For the interpolating rational cubic Bezier curve, we derive its control points according to two conic Bezier curves, both matching the G(1) Hermite data and one end curvature of the given G(2) Hermite data, and the weights are obtained by the two given end curvatures. The conic precision property is based on the fact that the two conic Bezier curves are the same when the given G(2) Hermite data are sampled from a conic. Both the control points and weights of the resulting rational cubic Bezier curve are expressed in explicit form. (c) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：258 / 264
页数：7
相关论文
共 50 条
  • [1] C-shaped G2 Hermite interpolation with circular precision based on cubic PH curve interpolation
    Li, Yajuan
    Deng, Chongyang
    COMPUTER-AIDED DESIGN, 2012, 44 (11) : 1056 - 1061
  • [2] Planar G2 Hermite interpolation with some fair, C-shaped curves
    Meek, DS
    Walton, DJ
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 139 (01) : 141 - 161
  • [3] G2 two-point Hermite rational cubic interpolation
    Habib, Z
    Sakai, M
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2002, 79 (11) : 1225 - 1231
  • [4] G2 Hermite interpolation with circular precision
    Walton, D. J.
    Meek, D. S.
    COMPUTER-AIDED DESIGN, 2010, 42 (09) : 749 - 758
  • [5] S-shaped and C-shaped Transition Curve using Cubic Trigonometric Bezier
    Misro, M. Y.
    Ramli, A.
    Ali, J. M.
    PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION, 2017, 1870
  • [6] Transition Curve with G2 Hermite Interpolation Condition
    Ahmad, Azhar
    Amat, Abdul Halim
    Ali, Jamaluddin Md
    PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY, 2014, 1605 : 250 - 255
  • [7] The G2 and C2 rational quadratic trigonometric Bezier curve with two shape parameters with applications
    Bashir, Uzma
    Abbas, Muhammad
    Ali, Jamaludin Md
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (20) : 10183 - 10197
  • [8] Admissible regions for rational cubic spirals matching G2 Hermite data
    Habib, Zulfiqar
    Sakai, Manabu
    COMPUTER-AIDED DESIGN, 2010, 42 (12) : 1117 - 1124
  • [9] G2 composite cubic Bezier curves
    Paluszny, M
    Tovar, F
    Patterson, RR
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 102 (01) : 49 - 71
  • [10] Planar G2 transition between two circles with a fair cubic Bezier curve
    Walton, D.J.
    Meek, D.S.
    CAD Computer Aided Design, 1999, 31 (14): : 857 - 866
12345