胡玉平, 王志坚, 张玲华, 等. 基于小波变换和混沌映射的自适应水印算法[J]. 吉林大学学报:工学版, 2012, 42(增刊1): 401-404. Hu Yu-ping, Wang Zhi-jian, Zhang Ling-hua, et al. Image-adaptive watermarking algorithm based on chaos map and DWT[J]. Journal of Jilin University (Engineering and Technology Edition), 2012, 42(Sup.1): 401-404.
[2]
Su Q T, Niu Y G, Liu X X, et al. Embedding color watermarks in color images based on Schur decomposition[J]. Opt Commun, 2012, 285(7): 1792-1802.
[3]
Hamilton W R.Elements of Quaternions[M].Longmans Green:London, 1866.
[4]
Ell T A, Sangwine S J. Hypercomplex Fourier transforms of color images[J].IEEE Trans Image Process, 2007, 16(1): 22-35.
[5]
Subakan O N, Vemuri B C. A quaternion framework for color image smoothing and segmentation[J].Int J Comput Vis,2011,91(3):233-250.
[6]
陈北京, 孙星明, 王定成, 等. 基于彩色图像四元数表示的彩色人脸识别[J].自动化学报,2012,38(11):1815-1823. Chen Bei-jing, Sun Xing-ming, Wang Ding-cheng, et al. Color face recognition using quaternion representation of color image[J]. Acta Automatica Sinica, 2012, 38(11): 1815-1823.
[7]
张富强, 李均利, 李纲, 等. 基于四元数奇异值分解的视频质量评价方法[J]. 电子学报, 2011, 39(1): 219-223. Zhang Fu-qiang, Li Jun-li, Li Gang, et al. Video quality assessment based on quaternion singular value decomposition[J]. Acta Electronica Sinica, 2011, 39(1): 219-223.
[8]
Ma X J, Xu Y, Song L, et al. Color image watermarking using local quaternion Fourier spectral analysis[C]∥Proc 2008 IEEE Int Conf Multimedia and Expo, 2008: 233-236.
[9]
Sun J, Yang J Y. A secure color images watermarking algorithm based on holistic quaternion operation[J]. Advances in Information Sciences and Service Sciences, 2011,10(3): 363-374.
[10]
江淑红, 张建秋, 胡波. 一种超复数频域的有意义数字水印算法[J]. 系统工程与电子技术, 2009, 31(9): 2242-2248. Jiang Shu-hong, Zhang Jian-qiu, Hu Bo. Content based image watermarking algorithm in hypercomplex frequency domain[J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2242-2248.
[11]
Wang X Y, Wang C P, Yang H Y, et al. A robust blind color image watermarking in quaternion Fourier transform domain[J]. J Syst Software, 2013, 86(2): 255-277.
[12]
Ell T A. Hypercomplex spectral transforms[D]. Minneapolis: Minnesota University, 1992.
[13]
Sangwine S J. Fourier transforms of colour images using quaternion or hypercomplex, numbers[J]. Electron Lett, 1996, 32(1): 1979-1980.
[14]
Pei S C, Ding J J, Chang J H. Efficient implementation of quaternion Fourier transform, convolution, and correlation by 2-D complex FFT[J]. IEEE Trans Signal Process, 2001, 49(11): 2783-2797.
[15]
Zhang Y N, Wen C Y, Zhang Y, et al. On the choice of consistent canonical form during moment normalization[J]. Pattern Recogn Lett, 2003, 24(16): 3205-3215.
[16]
Zhang H, Shu H Z, Coatrieux G, et al. Affine Legendre moment invariants for image watermarking robust to geometric distortions[J]. IEEE Trans Image Process, 2011, 20(8): 2189-2199.
[17]
Bas P, Nihan N L, Chassery J M. Color image watermarking using quaternion Fourier transform[C]∥Proc IEEE Int Conf Acoustics, Speech and Signal Processing, 2003:521-524.
[18]
Tsui T K, Zhang X P, Androutsos D. Color image watermarking using multidimensional Fourier transforms[J]. IEEE Trans Inf Foren Sec, 2008, 3(1): 16-28.