Abstract

Conventional quantization-based watermarking may be easily estimated by averaging on a set of watermarked signals via uniform quantization approach. Moreover, the conventional quantization-based method neglects the visual perceptual characteristics of the host signal; thus, the perceptible distortions would be introduced in some parts of host signal. In this paper, inspired by the Watson’s entropy masking model and logarithmic quantization index modulation (LQIM), a logarithmic quantization-based image watermarking method is developed by using the wavelet transform. Furthermore, the novel method improves the robustness of watermarking based on a logarithmic quantization strategy, which embeds the watermark data into the image blocks with high entropy value. The main significance of this work is that the trade-off between invisibility and robustness is simply addressed by using the logarithmic quantizaiton approach, which applies the entropy masking model and distortion-compensated scheme to develop a watermark embedding method. In this manner, the optimal quantization parameter obtained by minimizing the quantization distortion function effectively controls the watermark strength. In terms of watermark decoding, we model the wavelet coefficients of image by the generalized Gaussian distribution (GGD) and calculate the bit error probability of proposed method. Performance of the proposed method is analyzed and verified by simulation on real images. Experimental results demonstrate that the proposed method has the advantages of imperceptibility and strong robustness against attacks covering JPEG compression, additive white Gaussian noise (AWGN), Gaussian filtering, Salt&Peppers noise, scaling and rotation attack, etc.

Highlights

  • With the wide application of big data and other multimedia information technology, mass multimedia data are being generated and distributed over the Internet each day

  • In paper [19], the uniform quantization method is used to quantize the transformed coefficients,while we use the distortion-compensated method to achieve the quantization in proposed method and an optimization strategy is applied for obtaining the optimal quantization step size

  • For each selected image block, the 9–7 biorthogonal filters with three levels of decomposition are used to decompose the block, two mid-frequency sub-band wavelet coefficients are quantized by using the logarithmic quantization strategy

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Summary

Introduction

With the wide application of big data and other multimedia information technology, mass multimedia data are being generated and distributed over the Internet each day. This facilitates people’s daily work and life, but the security of these multimedia products are becoming more and more important, which has been studied over the past twenty years. One of the current effective methods is digital watermarking, which has been widely researched in the field of multimedia information security, such as data authentication, fingerprinting and broadcast monitoring, etc. Most of the image watermarking algorithms focus on the study of imperceptibility and robustness. The first type is based on the spatial domain and the other is Entropy 2018, 20, 945; doi:10.3390/e20120945 www.mdpi.com/journal/entropy

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