引用本文: 刘爱利, 丁浒, 田丹, 王丽, 王少峰. 基于坡度和坡向分析的DCT域DEM数字水印算法[J]. 武汉大学学报 ( 信息科学版), 2016, 41(7): 903-910.
LIU Aili, DING Hu, TIAN Dan, WANG Li, WANG Shaofeng. A DCT DEM Digital Watermarking Algorithm Based on the Analysis of Slope and Aspect[J]. Geomatics and Information Science of Wuhan University, 2016, 41(7): 903-910.
 Citation: LIU Aili, DING Hu, TIAN Dan, WANG Li, WANG Shaofeng. A DCT DEM Digital Watermarking Algorithm Based on the Analysis of Slope and Aspect[J]. Geomatics and Information Science of Wuhan University, 2016, 41(7): 903-910.

## A DCT DEM Digital Watermarking Algorithm Based on the Analysis of Slope and Aspect

• 摘要: 提出了一种基于离散余弦变换(discrete cosine trasform, DCT)域的数字高程模型(DEM)数字水印算法,通过分析坡度坡向计算模型并结合人类视觉系统(human visual system, HVS),推导出坡度坡向精度与水印嵌入强度的数学关系,能实现在满足坡度坡向精度要求下,水印嵌入强度的最大化,增强水印的抗攻击性。实验结果表明,含水印DEM的高程、坡度、坡向的最大误差和中误差均较小,满足DEM精度的近无损及所提取等高线的近无损,且满足水印的视觉不可见性,能抵抗JPEG压缩和几何裁剪攻击。

Abstract: A digital of the current study watermarking algorithm based on DCT is presented to protect the copyright of DEM data. The of the current study aim is to solve the problem that how to balance the robustness requirements of the watermark and the high precision need of the DEM. Namely the watermarking algorithm should not only have near-lossless but also robustness and be adaptive. As for the watermarking embedding strength, it is calculated by combing with the precision of the slope and aspect of the DEM and the Watson perceptual model. And by given slope and aspect precision, the watermark embedding strength can be calculated automatically. Moreover, the methodology is designed to embed a watermark in terrain lines in order to improve the robustness. The experiment results are satisfying not only in the near-lossless of the DEM precision of slope and aspect, but also in the transparency of watermark. Besides, the contour line and the SOS (slope of slope) index derived from the watermarked DEM are near-lossless as well. In addition, the watermark can resist the JPEG compression and cropping attack which means that the watermark possess robustness.

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