| Arnold反变换的规范表达式及多维推广 |
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| 引用本文： | 赵海英,孙凤玉.Arnold反变换的规范表达式及多维推广[J].计算机系统应用,2010,19(12):222-224. |
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| 作者姓名： | 赵海英 孙凤玉 |
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| 作者单位： | 1. 北京科技大学,信息工程学院,北京,100083;新疆师范大学,数理学院乌鲁木齐,830054
2. 北京科技大学,应用科学学院,北京,100083 |
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| 基金项目： | 国家自然科学基金(60863010)资助和新疆自然科学基金项目(2010211a19) |
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| 摘 要： | Arnold变换具有周期性，广泛应用于图像加密方面，其正变换具有规范的表达式，但Arnold的反变换却没有一个规范表达式，因此论文提出一种Arnold反变换的规范表达式对各类Arnold正反变换进行形式上的统一，规整而简洁化，并在多维上进行推广。
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| 关 键 词： | Arnold变换 周期性 规范表达式 多维推广 |
| 收稿时间： | 4/4/2010 12:00:00 AM |
| 修稿时间： | 5/8/2010 12:00:00 AM |
Arnold Inverse Transformation's Normative Expression and Multi-Dimension Extend |
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| ZHAO Hai-Ying,SUN Feng-Yu.Arnold Inverse Transformation's Normative Expression and Multi-Dimension Extend[J].Computer Systems& Applications,2010,19(12):222-224. |
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| Authors: | ZHAO Hai-Ying SUN Feng-Yu |
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| Affiliation: | 1. School of Information Engineering, University of Science and Technology Beijing, Beijing 100083, China; 2. College of Maths-Physics and Information Sciences, Xinjiang Normal University Urumqi, China; 3. School of Applied Science, University of Science and Technology Beijing, China) |
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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.. |
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| Keywords: | Arnold transformation periodicity normative expression multi-dimension extend |
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