Integer orthogonal transforms: Design, fast algorithms, and applications

被引:0
|
作者
Egiazarian, KO [1 ]
Rusanovskyy, D [1 ]
Astola, JT [1 ]
机构
[1] Tampere Univ Technol, FIN-33101 Tampere, Finland
关键词
integer transforms; DCT; coding gain; fast algorithms; image denoising; video coding;
D O I
10.1117/12.538694
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The paper is devoted to design, fast implementation and applications of a family of 8-points integer orthogonal transforms based on a parametric matrix. A unified algorithm for their efficient computations is developed. Derived fast transforms have close coding gain performance to the optimal Karhunen-Loeve transform for the first order Markov process. Among them are also such that closely approximate the DCT-II and. at the same time, have a larger coding gain. For a particular set of parameters, integer transforms with reduced computational complexity are obtained. The comparative analysis of these transforms with the DCT-II in the framework of image denoising and video coding is performed.
引用
收藏
页码:278 / 289
页数:12
相关论文
共 50 条
  • [31] Fast algorithms for generating integer partitions
    Zoghbi, A
    Stojmenovic, I
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1998, 70 (02) : 319 - 332
  • [32] EVALUATION OF 2-D ADAPTIVE SPATIAL PROCESSING ALGORITHMS USING FAST ORTHOGONAL-TRANSFORMS
    SVERDLIK, MB
    RADIONOV, VV
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII RADIOELEKTRONIKA, 1987, 30 (12): : 64 - 67
  • [33] A General Approach for Orthogonal 4-Tap Integer Multiwavelet Transforms
    Jing, Mingli
    Huang, Hua
    Liu, Wuling
    Qi, Chun
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2010, 2010
  • [34] Fast parametric reciprocal-orthogonal jacket transforms
    Lee, Moon Ho
    Zhang, Xiao-Dong
    Jiang, Xueqin
    EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING, 2014, : 1 - 12
  • [35] Fast parametric reciprocal-orthogonal jacket transforms
    Moon Ho Lee
    Xiao-Dong Zhang
    Xueqin Jiang
    EURASIP Journal on Advances in Signal Processing, 2014
  • [36] Fast orthogonal transforms based on perfect binary arrays
    Mazurkov, M.I.
    Gerasimenko, M. Yu.
    Radioelectronics and Communications Systems, 2006, 49 (09) : 36 - 41
  • [37] Image magnification using families of fast orthogonal transforms
    Koltracht, I
    Madych, WR
    Marinelli, K
    INTERNATIONAL JOURNAL OF IMAGING SYSTEMS AND TECHNOLOGY, 1996, 7 (03) : 170 - 179
  • [38] DISCRETE FOURIER-TRANSFORMS - FAST ALGORITHMS
    ZOLESIO, JL
    ANNALES DES TELECOMMUNICATIONS-ANNALS OF TELECOMMUNICATIONS, 1985, 40 (9-10): : 495 - 507
  • [39] FAST ALGORITHMS FOR THE DISCRETE FOURIER PREPROCESSING TRANSFORMS
    ERSOY, OK
    HU, NC
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1992, 40 (04) : 744 - 757
  • [40] ASYMPTOTICALLY FAST ALGORITHMS FOR SPHERICAL AND RELATED TRANSFORMS
    DRISCOLL, JR
    HEALY, DM
    30TH ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE, 1989, : 344 - 349