A Dual Image Scrambling Method Based on Discrete Cosine Transform

Abstract:

Although the general random scrambling based on pixel can achieve a good chaotic effect, but it can not change the histogram of a digital image. We introduce the random scrambling into the domain of discrete cosine transform (DCT) of image and scramble the coefficients of DCT to improve the performance of scrambling. Firstly, we did 2-D discrete cosine transform to the original image. Secondly, we scanned the coefficients matrix of DCT by Zig-Zag scanning to get a 1-D sequence, and then we scrambled this sequence by 1-D random scrambling algorithm. Thirdly, we did inverse Zig-Zag scanning to the scrambled sequence and reconstructed the scrambled image from the chaotic coefficients matrix by 2-D inverse discrete cosine transform. Finally, to further improve the scrambling degree of the reconstructed result, we scrambled it again in space domain to gain the encryption image. Experiments show that this algorithm is effective at visual evaluation and is more stable in scrambling degree than Arnold transformation.

• Periodical: Applied Mechanics and Materials (Volumes 556-562)
• Pages: 4722-4725
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.556-562.4722
• Online since: May 2014
• Authors: Qiu Dong Sun*, Jian Cun Zuo, Yu Feng Shao, Lin Gui
• Keywords: 1-D Random Scrambling, Discrete Cosine Transform, Dual Scrambling, Image Encryption

References

[1] Qi Dongxu: Matrix Transformation and its Applications to Image Hiding. Journal of North China University of Technology, Vol. 11 (1999), No. 1, pp.24-28.

[2] Zhao Hong, Wen Wenya: A Survey of Digital Image Scrambling Techniques. Fujian Compute, (2007), No. 12, p.10, 12.

[3] Tan Yuehui, Liang Xin, Zhang Junping, Liu Kai: The Study of Scrambling Technology Based on Arnold Transformation and Sampling Theoretics. Control and Automation, Vol. 22 (2006), No. 36, pp.74-76.

[4] Li Guofu: The Scrambling Method of Digital Image Based on Latin Square Transformation. Journal of North China University of Technology, Vol. 13 (2001), No. 1, pp.14-16.

[5] Zhang Shengyuan, Chen Jie: Digital Image Scrambling Technology Based on Matrix Transformation. Journal of Fujian Normal University (Natural Science Edition), Vol. 22 (2004), No. 4, pp.1-5.

[6] Sun Qiudong, Ma Wenxin, Yan Wenying, Dai Hong: A Random Scrambling Method for Digital Image Encryption: Comparison with the Technique Based on Arnold Transform. Journal of Shanghai Second Polytechnic University, Vol. 25 (2008), No. 3, pp.159-163.

[7] Hou Qibin, Yang Xiaofan, Wang Yangsheng, Huang Xiangsheng: An Image Scrambling Algorithm Based on Wavelet Transform and Knight's Tour. Journal of Computer Research and Development, Vol. 41 (2004), No. 2, pp.369-375.

[8] Yin Dehui, Tang Yan, Li Bingfa: Image Scrambling and Gray-level Diffusion Algorithm Based on Wavelet Transform. Journal of Sichuan University (Natural Science Edition), Vol. 42 (2005), No. 4, pp.706-709.

[9] Zhang Huaxiong, Lv Hui, Weng Xiangjun: Image Scrambling Degree Evaluation Method Based on Information Entropy. Journal of Circuits and Systems, Vol. 12 (2007), No. 6, pp.95-98.

[10] Shang Yanhong, Zheng Zheng, Wang Zhiwei: Digital Image Scrambling Technology and Analysis of Scrambling Degree. Journal of Tangshan Teachers College, Vol. 28 (2006), No. 2, pp.80-82.