Arnold Inverse Transformation’s Normative Expression and Multi-Dimension Extend
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    Abstract:

    The periodicity of the Arnold transformation is widely used in image encryption aspect. This transformation is provided with normative expression, but its inverse transformation does not. In this paper, a new normative expression which enable all kinds of Arnold transformation and its inverse transformation formally unify is proposed, in good order and concise, and extend it on multidimensional space as well..

    Reference
    1 Arnold VI, Avez A, Ergodic problems of clssical Mechanics, Mathematic physic monograph series. New York: Benjamin W.A. INC, 1968.
    2 丁玮,齐东旭. 数字图像变换及信息隐藏与伪装技术.计算机学报, 1998,21(9):838-843.
    3 齐东旭,邹建成,韩效宥. 一类新的置乱变换及其在图像信息隐藏中的应用.中国科学(E辑), 2000,30(5):440-447.
    4 赵慧. n维Arnold变换及其周期性.北方工业大学学报, 2002,14(1):21-25.
    5 齐东旭.分形及其计算机生成.北京:科学出版社, 1994.
    6 张涛等. Arnold 反变换的一种新算法.软件学报, 2004,15(10):1558-1564.
    7 QI DX, WANG DSH, YANG DL. Matrix transformation of disital image and its periodicity. Progress in Natural Science, 2001,11(7):542-549.
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赵海英,孙凤玉. Arnold反变换的规范表达式及多维推广.计算机系统应用,2010,19(12):222-224

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History
  • Received:April 04,2010
  • Revised:May 08,2010
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