ISSN: 0970-938X (Print) | 0976-1683 (Electronic)

Biomedical Research

An International Journal of Medical Sciences

- Biomedical Research (2016) Volume 27, Issue 2

Watermarking algorithm for medical volume data anti-geometric attacks
Baoru Han, Jingbing Li*
College of Information Science and Technology, Hainan University, Haikou, 570228, PR. China
Corresponding Author: Jingbing Li, College of Information Science and Technology, Hainan University, PR. China
Accepted: January 20, 2016
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Abstract

In order to solve the information security problem of medical images, on the basis of considering the special medical image, a novel watermarking algorithm for medical volume data is brought out. First of all, three-dimensional (3D) discrete wavelet transformation for the medical volume data is carried out. Secondly, the wavelet coefficients are transformed by 3D discrete Fourier transform, and the first lowfrequency coefficients (4*5*4) are selected. Then, the first low-frequency coefficients (4*5*4) are transformed by 3D discrete inverse Fourier transform to get the feature vector. At last, the algorithm uses the difference hashing algorithm to process the feature vector to generate zero-watermarking. The experimental results show the watermarking algorithm has good resistance to geometric attacks and has better security. So the watermarking algorithm is more practical in the field of medical research.

Keywords
Medical volume data, watermarking, geometric attacks, Chebyshev chaotic neural network.

Introduction
With the development of medical imaging technology, as well as the mutual penetration between computer and communication technology and medical imaging, medical imaging plays an increasingly important role in modern medical diagnosis [1,2]. In recent years, with the progress of computer technology, especially the high resolution Computer X optical tomography (CT) and Magnetic resonance imaging (MRI) and advanced optical scanners, such as the emergence of new equipment and a series of related software development, medical images has been considered more and more significant [3,4]. For example, CT and MRI images have higher spatial resolution, which can provide anatomical structure, clear human structure and detailed pathological information [5-6]. It provides a direct and reliable method for clinical medicine and scientific research. Its application scope has gradually covered the preoperative diagnosis, surgical design, postoperative prediction and evaluation of efficacy and so on. But with the Electronic medical record (EPR) and medical image spreaded on the Internet, the information security problem of medical images is gradually exposed [7]. When medical images over the network for remote transmission, the patient's personal information recorded in medical images can easily be leaked [8,9]. Today's encryption method [10] and access control has been not capable to meet the medical information security requirements, so to seek new information security technology measures are imminent. If the personal information is embedded in the medical image as a digital watermarking, the problem can be solved. The watermarking is called medical volume data digital watermarking [11].
At present, there are a few researches on the digital watermarking algorithm of the volume data of anti-geometric attacks [12-14]. The volume data exists in a large number of medical images, such as: medical volume data (CT, MRI volume data) are composed of volume data by the slice. So it is significant to study how to embed digital watermarking in volume data so that medical volume data cannot be modified. This is the difficulty of improving the embedding watermark technique in the volume data. Now medical volume data watermarking can only be resistant to conventional attacks, even for common minor geometric attacks. Therefore, in medical volume data watermarking research fields, geometric attack is still a relatively difficult problem to solve.
The research of this paper can be a good solution to the medical volume data information security problems in the current medical field. The particularity of medical volume data is fully considered in this paper. A novel volume watermarking algorithm for medical volume data is brought out. Differences hashing is used to realize the watermarking embedding and extraction of the medical volume data. Before embedding the watermarking, the watermarking is scrambled. It adopts chebyshev chaotic neural network. The watermarking algorithm has good resistance to geometric attacks, and has better security.

Materials and Methods
Chebyshev chaotic neural network
This paper uses a new chebyshev chaotic neural network [15]. The chebyshev chaotic neural network model is shown in figure 1.
Definition 1
Chn(x) = cos(n arccos x)       (1)
image
Definition 2
image
Chn (x) is known as the second-class chebyshev polynomials.
It is known as the weight function image n orthogonal polynomials in space [-1, 1].
Chebyshev chaotic neural network output is
image
Where first-layer weight is w j , second-layer weight is c j , j = 0,1,2,L ,n .The activation function of hidden layer neuron is chebyshev orthogonal polynomials. Its weight is trained using BP learning algorithm.
3D discrete wavelet transform
Wavelet transform is a milestone in the development of signal analysis. In recent years, it has become a hot topic in many disciplines, which is widely used in the fields of image encoding, texture analysis, pattern recognition, and computer vision and so on. Wavelet transform has good localization property in time domain and frequency domain.
3D wavelet transform is an extension of the two-dimensional wavelet transform, which provides the good multi-resolution analysis feature on space for 3D volume data. The decomposition process of the 3D wavelet transform is shown in Figure 2. The medical volume data is shown in Figure 3(a), which is the liver volume data and the Figure 3(b) is 3D wavelets transform.
3D discrete Fourier transform
Fourier transform has been a basic mathematical tool in signal processing, especially in spectrum analysis. It can be expressed as the superposition of different frequency wave functions, so that the study of the time domain signal is converted to the frequency domain coefficients. 3D DFT formulas are as shown in formula (4) and formula (5).
image
Watermarking algorithm
Watermarking embedding process is shown in Figure 4. Watermarking extraction process is shown in Figure 5.

Results
The watermarking algorithm is implemented in Matlab2010a platform to test and verify the effectiveness. The original medical volume data uses a set of MRI brain data, which contains 27 pieces of the human head slice images (128*128), whose storage format is 128 (pix) × 128 (pix) × 1(bit) × 27 (slices).It is a four-dimensional (4D) image, which needs to be reduced to 3D in order to use. The medical volume data without attack is as shown in Figure 6 (a). The slice is shown in the Figure 6 (b). The extracted watermarking image is shown in the Figure 6(c). At present, the anti-attack ability of the digital watermarking algorithm cannot meet the expected requirements, usually only to the noise, compression and filtering and other attacks have a certain robustness. Especially the research on the digital watermarking algorithm against geometric attacks is not mature enough.
The salient feature of geometric attacks is that when the image is slightly changed, most of the watermarking detector cannot extract the watermarking information. In order to test the robustness of the proposed watermarking algorithm, the simulation experiments are carried out by the following geometric attacks. The specific attack experiments are as follows. Figure 7 give experimental results under zooming attack. Experimental results under clockwise rotation attack are shown in Figure 8. Figure 9 describe experimental results under shear attack. Figure 10 show experimental results under distortion attack. Experimental results under translation attack are depicted in Figure 11. As it can be seen from the figures, the extracted watermarking images are very clear. Hence, the proposed watermarking algorithm has a strong robustness to anti-geometric attacks.

Discussion
At present, most of the medical images watermarking algorithms are based on two-dimensional image. According to the capacity and the robustness of the requirement, the different watermarking algorithms are selected. With the development of computer graphics, more and more medical workers pay attention to the research of 3D medical volume data. So the watermarking for 3D medical volume data is very essential. The proposed watermarking algorithm is applied to the 3D medical volume data. The proposed watermarking algorithm was compared with the algorithms in the [16,17]. These techniques are also given in Table 1. Can be seen from Table 1, the proposed watermarking algorithm, Guoyan Liu [16] and Memon [17]’s watermarking algorithm are robust watermarking algorithm. However, the research object of the proposed watermarking algorithm is 3D medical volume data. The object of the Guoyan Liu [16] and Memon’s [17] watermarking algorithms are the two-dimensional (2D) medical image. The proposed watermarking algorithm and the [16,17] experimental results indicate that each robust watermarking algorithm has good robustness and security, and can very good solve a variety of medical image information security problems. However, the embedding watermarking significantly changes the contents of medical images, which will affect the doctor's diagnosis [16,17]. The proposed watermarking algorithm is zero-watermarking algorithm, which make any changes to the original medical volume data, will not affect the doctor's diagnosis. Experimental results show that the proposed watermarking algorithm was better robustness and security, which would play a role in the protection of medical volume data. Therefore, the proposed watermarking algorithm is more practical in the field of medical research.

Acknowledgements
This work was supported by the National Natural Science Foundation of China (No. 61263033), the International Science and Technology Cooperation Project of Hainan (No.KJHZ2015-4), the Higher School Scientific Research Project of Hainan Province (No. Hnky2015-80) ,the Institutions of Higher Learning Scientific Research Special Project of Hainan (Hnkyzx2014-2) and the Higher School Outstanding Young Backbone Teachers Funded Project of Hainan Province (No: 2014-129).

Tables at a glance
Table icon
Table 1

Figures at a glance
Figure Figure Figure Figure
Figure 1 Figure 2 Figure 3 Figure 4
Figure Figure Figure Figure
Figure 5 Figure 6 Figure 7 Figure 8
Figure Figure Figure
Figure 9 Figure 10 Figure 11

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