Computation of Hermite interpolation in terms of B-spline basis using polar forms

被引：9
|
作者：
Lamnii, A. [1 ]
Lamnii, M. [2 ]
Oumellal, F. [1 ]
机构：
[1] Univ Hassan 1st, Lab Math Informat & Sci Ingenieur MISI, Fac Sci & Technol, Settat, Morocco
[2] Univ Hassan 1st, LAMSAD, Ecole Super Technol, Berrechid, Morocco
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2017年 / 134卷
关键词：
B-splines; Hermite interpolation; Polar forms; MONOTONE;
D O I：
10.1016/j.matcom.2016.09.009
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The aim of this paper is to present an Hermite interpolation problem with B-splines of high degree of smoothness. More precisely, we use polar forms to find the B-spline control points for Hermite interpolation. The resulting formula is used to give Hermite basis functions. In particular, Quadratic C-1 and cubic C-2 interpolations with sharp parameters are analyzed. (C) 2016 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：17 / 27
页数：11
相关论文
共 50 条
  • [1] COMPUTING B-SPLINE CONTROL POINTS USING POLAR FORMS
    SEIDEL, HP
    [J]. COMPUTER-AIDED DESIGN, 1991, 23 (09) : 634 - 640
  • [2] COMPUTATION OF ALL DERIVATIVES OF A B-SPLINE BASIS
    BUTTERFIELD, KR
    [J]. JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS, 1976, 17 (01): : 15 - 25
  • [3] Interpolation of Hermite data by clamped Minkowski Pythagorean hodograph B-spline curves
    Bizzarri, Michal
    Lavicka, Miroslav
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2021, 392
  • [4] The B-spline interpolation in visualization
    Mihajlović, Željka
    Goluban, Alan
    [J]. Journal of Computing and Information Technology, 1999, 7 (03): : 245 - 253
  • [5] Data fitting by spline functions using the biorthonormal basis of the B-spline basis
    Haruki, R
    Horiuchi, T
    [J]. 15TH INTERNATIONAL CONFERENCE ON PATTERN RECOGNITION, VOL 3, PROCEEDINGS: IMAGE, SPEECH AND SIGNAL PROCESSING, 2000, : 270 - 273
  • [6] Image Reconstruction Using Cubic B-Spline Interpolation
    Bharati, Nilashma
    Khosla, Arun
    Sood, Neetu
    [J]. 2011 ANNUAL IEEE INDIA CONFERENCE (INDICON-2011): ENGINEERING SUSTAINABLE SOLUTIONS, 2011,
  • [7] Automatic load regulation using B-spline interpolation
    Mitsantisuk, Chowarit
    Katsura, Seiichiro
    Ohishi, Kiyoshi
    [J]. 2007 IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS, 2007, : 502 - 507
  • [8] Solving Boussinesq Equation Using Quintic B-spline and Quintic Trigonometric B-spline Interpolation Methods
    Zakaria, Nur Fateha
    Abu Hassan, Nuraini
    Abd Hamid, Nur Nadiah
    Abd Majid, Ahmad
    Ismail, Ahmad Izani Md.
    [J]. 4TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES (ICMS4): MATHEMATICAL SCIENCES: CHAMPIONING THE WAY IN A PROBLEM BASED AND DATA DRIVEN SOCIETY, 2017, 1830
  • [9] As-developable-as-possible B-spline surface interpolation to B-spline curves
    Bo, Pengbo
    Zheng, Yujian
    Chu, Dianhui
    Zhang, Caiming
    [J]. COMPUTER AIDED GEOMETRIC DESIGN, 2020, 79
  • [10] Interpolation by Nonuniform B-Spline through Uniform B-Spline Filter Banks
    Yang, Yanli
    Ma, De
    Yu, Ting
    [J]. 2016 IEEE INTERNATIONAL CONFERENCE ON DIGITAL SIGNAL PROCESSING (DSP), 2016, : 375 - 378
12345