C2 Local convexity-preserving interpolation through the control point form method

被引:3
|
作者
Morandi, R [1 ]
Sestini, A [1 ]
机构
[1] Univ Florence, Dipartimento Energet S Stecco, I-50134 Florence, Italy
来源
VISUAL COMPUTER | 1999年 / 15卷 / 10期
关键词
interpolation; parametric curves; convexity preservation; control point form;
D O I
10.1007/s003710050194
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
A local interpolation scheme to construct C-2 continuous convexity-preserving parametric curves in IR2 is presented. The control point form method, which was developed in the field of numerical grid generation, is used here to construct interpolating curves. Good control over the shape of the curves is obtained thanks to the capability of the proposed approach to interpolate not only the data points, but also some directions suitably associated with them.
引用
收藏
页码:483 / 493
页数:11
相关论文
共 50 条
  • [21] C2 Positivity-Preserving Rational Cubic Ball Interpolation
    Jamil, Siti Jasmida
    Piah, Abd Rahni Mt
    PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY, 2014, 1605 : 337 - 342
  • [22] Convexity preservation of six point C2 interpolating subdivision scheme
    Siddiqi, Shahid S.
    Noreen, Tayyaba
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 265 : 936 - 944
  • [23] An efficient meshless method through local radial point interpolation
    Chen, Shaolin
    Li, Yanxiu
    Guti Lixue Xuebao/Acta Mechanica Solida Sinica, 2009, 30 (01): : 100 - 105
  • [24] Shape preserving C2 rational quartic interpolation spline with two parameters
    Zhu, Yuanpeng
    Han, Xuli
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (10) : 2160 - 2177
  • [25] Shape-Preserving C2 Functional Interpolation via Parametric Cubics
    P. Lamberti
    C. Manni
    Numerical Algorithms, 2001, 28 : 229 - 254
  • [26] Shape-preserving C2 functional interpolation via parametric cubics
    Lamberti, P
    Manni, C
    NUMERICAL ALGORITHMS, 2001, 28 (1-4) : 229 - 254
  • [27] C2 Rational Interpolation Splines with Region Control and Image Interpolation Application
    Liu, Zhuo
    Liu, Shengjun
    Zhu, Yuanpeng
    JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2021, 63 (03) : 394 - 416
  • [28] Local polynomial convexity of tangential unions of totally real graphs in C2
    Dieu, NQ
    INDAGATIONES MATHEMATICAE-NEW SERIES, 1999, 10 (03): : 349 - 355
  • [29] C2 positivity-preserving rational interpolation splines in one and two dimensions
    Zhu, Yuanpeng
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 316 : 186 - 204
  • [30] LOCAL GENERALIZED HERMITE INTERPOLATION BY QUARTIC C2 SPACE-CURVES
    PETERS, J
    ACM TRANSACTIONS ON GRAPHICS, 1989, 8 (03): : 235 - 242