Optimizing PSNR for image watermarking using summation quantization on DWT coefficients

Chao Tung Yang; William C.C. Chu; Huan Nan Huang; Shuo Tsung Chen; Der Fa Chen; Chiu Chun Lin; Chih Hung Chang

doi:10.1109/COMPSAC.2015.194

Optimizing PSNR for image watermarking using summation quantization on DWT coefficients

Chao Tung Yang, William C.C. Chu, Huan Nan Huang, Shuo Tsung Chen, Der Fa Chen, Chiu Chun Lin, Chih Hung Chang

Department of Industrial Education and Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

This study presents an optimization-based image watermarking scheme that applies summation quantization technique to multi-coefficients of discrete wavelet transform (DWT). Peak signal-to-noise ratio (PSNR) and bit error ratio (BER) are commonly performance indexes in measuring the quality and robustness of an image watermarking scheme. To optimize the tradeoff between PSNR and BER, we minimize the difference between original and watermarked frequency coefficients. First, PSNR is expressed as a performance index using matrix form. Then, an optimized-quality functional that relates the performance index to the summation quantization technique is obtained. Finally, the Lagrange Principle is utilized to obtain the optimal solution. The optimal solution is applied to watermarking. Experimental results show that the watermarked image can keep high PSNR and achieve better BER even when the number of coefficients for embedding a watermark bit increases.

Original language	English
Title of host publication	Proceedings - 2015 IEEE 39th Annual Computer Software and Applications Conference - Stephen S. Yau Academic Symposium, COMPSAC 2015
Editors	Gang Huang, William Chu, Pao-Ann Hsiung, Jingwei Yang, Carl K. Chang, Sheikh Iqbal Ahamed, Ivica Crnkovic
Publisher	IEEE Computer Society
Pages	68-74
Number of pages	7
ISBN (Electronic)	9781467365635
DOIs	https://doi.org/10.1109/COMPSAC.2015.194
Publication status	Published - 2015 Sep 21
Event	2015 IEEE 39th Annual Computer Software and Applications Conference - Stephen S. Yau Academic Symposium, COMPSAC 2015 - Taichung, Taiwan Duration: 2015 Jul 1 → 2015 Jul 5

Publication series

Name	Proceedings - International Computer Software and Applications Conference
Volume	1
ISSN (Print)	0730-3157

Other

Other	2015 IEEE 39th Annual Computer Software and Applications Conference - Stephen S. Yau Academic Symposium, COMPSAC 2015
Country	Taiwan
City	Taichung
Period	15-07-01 → 15-07-05

All Science Journal Classification (ASJC) codes

Software
Computer Science Applications

Access to Document

10.1109/COMPSAC.2015.194

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Yang, C. T., Chu, W. C. C., Huang, H. N., Chen, S. T., Chen, D. F., Lin, C. C., & Chang, C. H. (2015). Optimizing PSNR for image watermarking using summation quantization on DWT coefficients. In G. Huang, W. Chu, P-A. Hsiung, J. Yang, C. K. Chang, S. I. Ahamed, & I. Crnkovic (Eds.), Proceedings - 2015 IEEE 39th Annual Computer Software and Applications Conference - Stephen S. Yau Academic Symposium, COMPSAC 2015 (pp. 68-74). [7273294] (Proceedings - International Computer Software and Applications Conference; Vol. 1). IEEE Computer Society. https://doi.org/10.1109/COMPSAC.2015.194

Yang, Chao Tung ; Chu, William C.C. ; Huang, Huan Nan ; Chen, Shuo Tsung ; Chen, Der Fa ; Lin, Chiu Chun ; Chang, Chih Hung. / Optimizing PSNR for image watermarking using summation quantization on DWT coefficients. Proceedings - 2015 IEEE 39th Annual Computer Software and Applications Conference - Stephen S. Yau Academic Symposium, COMPSAC 2015. editor / Gang Huang ; William Chu ; Pao-Ann Hsiung ; Jingwei Yang ; Carl K. Chang ; Sheikh Iqbal Ahamed ; Ivica Crnkovic. IEEE Computer Society, 2015. pp. 68-74 (Proceedings - International Computer Software and Applications Conference).

@inproceedings{8679eb05d9ad4a41a98eb6f4249749dc,

title = "Optimizing PSNR for image watermarking using summation quantization on DWT coefficients",

abstract = "This study presents an optimization-based image watermarking scheme that applies summation quantization technique to multi-coefficients of discrete wavelet transform (DWT). Peak signal-to-noise ratio (PSNR) and bit error ratio (BER) are commonly performance indexes in measuring the quality and robustness of an image watermarking scheme. To optimize the tradeoff between PSNR and BER, we minimize the difference between original and watermarked frequency coefficients. First, PSNR is expressed as a performance index using matrix form. Then, an optimized-quality functional that relates the performance index to the summation quantization technique is obtained. Finally, the Lagrange Principle is utilized to obtain the optimal solution. The optimal solution is applied to watermarking. Experimental results show that the watermarked image can keep high PSNR and achieve better BER even when the number of coefficients for embedding a watermark bit increases.",

author = "Yang, {Chao Tung} and Chu, {William C.C.} and Huang, {Huan Nan} and Chen, {Shuo Tsung} and Chen, {Der Fa} and Lin, {Chiu Chun} and Chang, {Chih Hung}",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE. Copyright: Copyright 2016 Elsevier B.V., All rights reserved.; 2015 IEEE 39th Annual Computer Software and Applications Conference - Stephen S. Yau Academic Symposium, COMPSAC 2015 ; Conference date: 01-07-2015 Through 05-07-2015",

year = "2015",

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doi = "10.1109/COMPSAC.2015.194",

language = "English",

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Yang, CT, Chu, WCC, Huang, HN, Chen, ST, Chen, DF, Lin, CC & Chang, CH 2015, Optimizing PSNR for image watermarking using summation quantization on DWT coefficients. in G Huang, W Chu, P-A Hsiung, J Yang, CK Chang, SI Ahamed & I Crnkovic (eds), Proceedings - 2015 IEEE 39th Annual Computer Software and Applications Conference - Stephen S. Yau Academic Symposium, COMPSAC 2015., 7273294, Proceedings - International Computer Software and Applications Conference, vol. 1, IEEE Computer Society, pp. 68-74, 2015 IEEE 39th Annual Computer Software and Applications Conference - Stephen S. Yau Academic Symposium, COMPSAC 2015, Taichung, Taiwan, 15-07-01. https://doi.org/10.1109/COMPSAC.2015.194

Optimizing PSNR for image watermarking using summation quantization on DWT coefficients. / Yang, Chao Tung; Chu, William C.C.; Huang, Huan Nan; Chen, Shuo Tsung; Chen, Der Fa; Lin, Chiu Chun; Chang, Chih Hung.

Proceedings - 2015 IEEE 39th Annual Computer Software and Applications Conference - Stephen S. Yau Academic Symposium, COMPSAC 2015. ed. / Gang Huang; William Chu; Pao-Ann Hsiung; Jingwei Yang; Carl K. Chang; Sheikh Iqbal Ahamed; Ivica Crnkovic. IEEE Computer Society, 2015. p. 68-74 7273294 (Proceedings - International Computer Software and Applications Conference; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AU - Yang, Chao Tung

AU - Chu, William C.C.

AU - Huang, Huan Nan

AU - Chen, Shuo Tsung

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AU - Lin, Chiu Chun

AU - Chang, Chih Hung

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N2 - This study presents an optimization-based image watermarking scheme that applies summation quantization technique to multi-coefficients of discrete wavelet transform (DWT). Peak signal-to-noise ratio (PSNR) and bit error ratio (BER) are commonly performance indexes in measuring the quality and robustness of an image watermarking scheme. To optimize the tradeoff between PSNR and BER, we minimize the difference between original and watermarked frequency coefficients. First, PSNR is expressed as a performance index using matrix form. Then, an optimized-quality functional that relates the performance index to the summation quantization technique is obtained. Finally, the Lagrange Principle is utilized to obtain the optimal solution. The optimal solution is applied to watermarking. Experimental results show that the watermarked image can keep high PSNR and achieve better BER even when the number of coefficients for embedding a watermark bit increases.

AB - This study presents an optimization-based image watermarking scheme that applies summation quantization technique to multi-coefficients of discrete wavelet transform (DWT). Peak signal-to-noise ratio (PSNR) and bit error ratio (BER) are commonly performance indexes in measuring the quality and robustness of an image watermarking scheme. To optimize the tradeoff between PSNR and BER, we minimize the difference between original and watermarked frequency coefficients. First, PSNR is expressed as a performance index using matrix form. Then, an optimized-quality functional that relates the performance index to the summation quantization technique is obtained. Finally, the Lagrange Principle is utilized to obtain the optimal solution. The optimal solution is applied to watermarking. Experimental results show that the watermarked image can keep high PSNR and achieve better BER even when the number of coefficients for embedding a watermark bit increases.

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M3 - Conference contribution

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PB - IEEE Computer Society

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Yang CT, Chu WCC, Huang HN, Chen ST, Chen DF, Lin CC et al. Optimizing PSNR for image watermarking using summation quantization on DWT coefficients. In Huang G, Chu W, Hsiung P-A, Yang J, Chang CK, Ahamed SI, Crnkovic I, editors, Proceedings - 2015 IEEE 39th Annual Computer Software and Applications Conference - Stephen S. Yau Academic Symposium, COMPSAC 2015. IEEE Computer Society. 2015. p. 68-74. 7273294. (Proceedings - International Computer Software and Applications Conference). https://doi.org/10.1109/COMPSAC.2015.194