测绘学报

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基于常函数的抗几何变换的矢量地理数据水印算法

杨成松1,朱长青2   

  1. 1. 信息工程测绘学院
    2. 南京师范大学地理科学学院 虚拟地理环境教育部重点实验室
  • 收稿日期:2010-06-12 修回日期:2010-07-19 出版日期:2011-04-25 发布日期:2011-04-25
  • 通讯作者: 杨成松

Robust Watermarking Algorithm for Geometrical Transform for Vector Geo-spatial Data Based on Invariant Function

1,   

  • Received:2010-06-12 Revised:2010-07-19 Online:2011-04-25 Published:2011-04-25

摘要: 基于常函数对于某些变换具有的不可变性,本文对抗几何变换的矢量地理数据水印算法进行研究。首先,对常函数的概念及其特征进行阐述,并推证了一个抗旋转、平移和放缩攻击的常函数;然后,基于建立的常函数,通过把水印信息嵌入到几何不变量中,提出了一种抗几何变换的矢量地理数据水印算法;最后,对提出的水印算法的鲁棒性进行了实验分析。实验结果表明,提出的算法能抵抗压缩、增点、删点、裁剪、平移、旋转、放缩以及由以上攻击组成的复合攻击,具有较好的鲁棒性。

Abstract: As the invariant function for some of the transform has non-denatured, this paper made a research on the watermarking algorithm robust to geometric transformations for geo-spatial vector data. Firstly, the conception and characteristic of invariant function were presented. Secondly, an invariant function robust to rotation, scaling and translation was proposed and proved, then based on the obtained invariant function, by embedding watermark into the geometric invariant, a watermarking algorithm for geo-spatial vector data was proposed. Finally, experiments on the proposed watermarking algorithm were made. The experiments conducted in this paper showed that the proposed algorithm had good robust and could resist attacks such as compressing, adding, deleting, clipping, translating, rotating, scaling and complex attacks composited of above attacks.