Method for construction of biorthogonal wavelets based on the theory of poles

被引：0
|
作者：
Koval, Alexey I. [1 ]
Rusyn, Bogdan P. [1 ]
机构：
[1] G.V. Karpenko Physicomech. Inst., National Acad. of Sci. of Ukraine, Lvov, Ukraine
来源：
Journal of Automation and Information Sciences | 2001年 / 33卷 / 9-12期
关键词：
Approximation theory - Calculations - Interpolation - Matrix algebra - Mirrors - Natural sciences computing - Optical filters - Poles and zeros - Polynomials - Vectors;
D O I：
10.1615/jautomatinfscien.v33.i12.30
中图分类号：
学科分类号：
摘要：
A method for construction of the biorthogonal wavelets based on interpolator, which are obtained with application of the theory of poles, is suggested. Results of the method implementation are presented as tables and graphs.
引用
收藏
页码：29 / 39
相关论文
共 50 条
  • [1] A method of biorthogonal wavelets construction based on poles theory
    Koval', A.I.
    Rusin, B.P.
    Problemy Upravleniya I Informatiki (Avtomatika), 2001, (05): : 85 - 96
  • [2] Construction of compactly supported biorthogonal wavelets
    Riemenschneider, Sherman D.
    Shen, Zuowei
    Physics and Modern Topics in Mechanical and Electrical Engineering, 1999, : 201 - 206
  • [3] CONSTRUCTION OF BIORTHOGONAL WAVELETS ON THE HEISENBERG GROUP
    Liu, Yu
    Chen, Yan-Na
    Peng, Li-Zhong
    PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION, VOLS 1 AND 2, 2008, : 563 - +
  • [4] General framework of the construction of biorthogonal wavelets based on Bernstein bases: theory analysis and application in image compression
    Yang, X.
    Shi, Y.
    Yang, B.
    IET COMPUTER VISION, 2011, 5 (01) : 50 - 67
  • [5] Optimized Construction of Biorthogonal Spline-Wavelets
    Cerna, Dana
    Finek, Vaclav
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 2008, 1048 : 134 - 137
  • [6] Construction of multivariate biorthogonal wavelets by CBC algorithm
    Han, B
    WAVELET ANALYSIS AND MULTIRESOLUTION METHODS, PROCEEDINGS, 2000, 212 : 105 - 143
  • [7] Construction of compactly supported biorthogonal wavelets II
    Riemenschneider, SD
    Shen, ZW
    WAVELET APPLICATIONS IN SIGNAL AND IMAGE PROCESSING VII, 1999, 3813 : 264 - 272
  • [8] Construction of trivariate biorthogonal compactly supported wavelets
    Sun, Lei
    Cheng, Zhengxing
    Huang, Yongdong
    CHAOS SOLITONS & FRACTALS, 2007, 34 (05) : 1412 - 1420
  • [9] Construction of multivariate biorthogonal wavelets with arbitrary vanishing moments
    Di‐Rong Chen
    Bin Han
    Sherman D. Riemenschneider
    Advances in Computational Mathematics, 2000, 13 : 131 - 165
  • [10] CONSTRUCTION AND APPLICATIONS OF BIORTHOGONAL TERNARY LOOP SUBDIVISION WAVELETS
    Xue, Yaohong
    Liang, Xuezhang
    Li, Qiang
    INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2011, 9 (04) : 531 - 548
12345