Uniform tension algebraic trigonometric spline wavelets of class C2 and order four

被引:4
|
作者
Lamnii, A. [1 ]
Mraoui, H. [1 ]
Sbibih, D. [1 ]
Zidna, A. [2 ]
机构
[1] Ecole Super Technol, Lab MATSI, Equipe ANTI URAC05, Oujda, Morocco
[2] IUT Metz, F-57045 Metz 1, France
关键词
Closed curve; Multiresolution analysis; UTAT spline wavelets; ARC-LENGTH; SCHEME; DEFORMATION; SURFACES;
D O I
10.1016/j.matcom.2012.11.006
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper we first describe a multiresolution curve representation based on periodic uniform tension algebraic trigonometric (UTAT) spline wavelets of class C-2 and order four. Then we determine the decomposition and the reconstruction vectors corresponding to UTAT-spline spaces. Finally, we give some applications in order to illustrate the efficiency of the proposed approach. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:68 / 86
页数:19
相关论文
共 50 条
  • [11] Numerical simulation of Volterra PIDE with singular kernel via modified cubic exponential and uniform algebraic trigonometric tension B-spline DQM
    Kaur, Manpreet
    Kapoor, Mamta
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2024, 226 : 438 - 451
  • [12] C2 Tension Splines Construction Based on a Class of Sixth-Order Ordinary Differential Equations
    Zhu, Yuanpeng
    Chen, Zhenbiao
    Han, Xuli
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (01) : 127 - 150
  • [13] C2 Cubic Algebraic Hyperbolic Spline Interpolating Scheme by Means of Integral Values
    Eddargani, Salah
    Oraiche, Mohammed
    Lamnii, Abdellah
    Louzar, Mohamed
    MATHEMATICS, 2022, 10 (09)
  • [14] Shape Preserving Piecewise KNR Fractional Order Biquadratic C2 Spline
    Kirmani, Syed Khawar Nadeem
    Riaz, Muhammad Bilal
    Jarad, Fahd
    Jasim, Hayder Natiq
    Enver, Aytekin
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [15] A coupled scheme based on uniform algebraic trigonometric tension B-spline and a hybrid block method for Camassa-Holm and Degasperis-Procesi equations
    Anurag Kaur
    V. Kanwar
    Higinio Ramos
    Computational and Applied Mathematics, 2024, 43
  • [16] A coupled scheme based on uniform algebraic trigonometric tension B-spline and a hybrid block method for Camassa-Holm and Degasperis-Procesi equations
    Kaur, Anurag
    Kanwar, V.
    Ramos, Higinio
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (01):
  • [17] C2 quartic spline surface interpolation
    张彩明
    汪嘉业
    ScienceinChina(SeriesF:InformationSciences), 2002, (06) : 416 - 432
  • [18] Shape preserving C2 spline interpolation
    Kvasov, BI
    PROCEEDINGS OF THE SECOND ASIAN MATHEMATICAL CONFERENCE 1995, 1998, : 430 - 438
  • [19] C2 quartic spline surface interpolation
    Caiming Zhang
    Jiaye Wang
    Science in China Series F: Information Sciences, 2002, 45 (6): : 416 - 432
  • [20] C2 quartic spline surface interpolation
    Zhang, CM
    Wang, JY
    SCIENCE IN CHINA SERIES F, 2002, 45 (06): : 416 - 432