摘要
本文首先讨论了Clifford代数的几何性质,探讨了3维Clifford代数空间中的几何积和投影运算,介绍了Clifford代数空间中的Fourier变换及其计算公式,进而研究了Clifford代数的存在性定理,并提出基于Clifford代数的存在性定理和Clifford-Fourier变换的数字图像水印嵌入算法.本文首次提出在Clifford代数空间中进行数字水印嵌入,实验论证了该算法的合理性,能较好的完成数字图像水印的嵌入.
The geometric properties of the Clifford Algebra including operations of the Clifford Product, the Projection and the Rejection are discussed in this paper. The Fourier Transform and its compute method in Clifford Algebra are introduced. Then the existence theorem of the Clifford Algebra is researches. Based on the existence theorem and the Clifford-Transform, the algorithm is proposed. The paper attempts to apply Clifford Algebra to handle the digital watermarking and the experimental results show that the algorithm has very good performance.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2008年第5期852-855,共4页
Acta Electronica Sinica
基金
国家自然科学基金(No.60576055)
