【图像隐写】基于LSB+DWT+DCT三种算法实现图像和音频水印嵌入提取含Matlab源码

1 简介

基于LSB+DWT+DCT三种算法实现图像和音频水印嵌入提取。

1.1 LSB算法

根据LSB算法简单易实现的特点,结合在图像置乱技术中很好特性的Arnold变换。利用变化产生影子图像。通过LSB算法将影子图像嵌入到掩饰图像中,再利用LSB算法将图像的影子图像提取出来。将提取出来的影子图像经过文中设计的Arnold反变换恢复出原始。该方法不但有效地无损伤隐藏了图像,同样还保证了隐藏图像的安全性,无损伤性。

1.2 小波变换算法

**2 基于DWT的音频水印算法**

**2.1 水印嵌入**

本文研究的音频水印算法是基于离散小波变换 (DWT) , 音频信号通过DWT变换, 在变换域中嵌入水印信息, 再经过逆变换 (IDWT) 从而得到嵌入水印的音频信号。水印嵌入原理框图如图1所示。

假定水印为M1×M2的二维图像bw, 由于音频信号通常为一维向量, 故水印信息在嵌入音频信号之前需要将二维降至一维向量w, 即M=M1×M2。通常我们也可以将图像进行打乱加密, 增强水印隐蔽性。

假定语音信号为s, 长度为N, 则s={s1, s2, s3, …, sN}由于语音信号较长在处理中一般需要进行分段, 每段长度设为N1, 故该语音信号分为K=fix (N/N1) 段进行处理, 每段语音均嵌入一个水印信息。

小波变换是为了解决傅立叶变换的不足而提出的一种分析变换, 傅立叶变换的基函数是铺满整个时域的正弦信号, 对于突变信号以及变化的频率成分信息均不能较准确地表示。而小波变换是时间和频率的局部变换, 更能准确地表示音频信号的频域特征, 常用的小波基有Haar小波、Daubechies (db N) 小波、Marr小波等。本文采用的小波基是Haar小波, 它是支撑域在t∈[0, 1]范围内的矩形波, 定义如下:

图1 音频信号水印嵌入原理框图

图2 音频信号水印提取原理框图

取定Haar小波基后, 则语音信号s可以表示为:

其中Cj, k为离散小波系数, 将音频信号分解为低频的近似部分和高频的细节部分, 我们在水印信息的嵌入处理中, 主要针对代表低频近似部分的系数向量处理, 即将水印信号放入低频近似部分, 高频细节部分不变, 以保证语音质量基本不变。由于嵌入的水印为二值图像, 因此如果水印信息的值为1, 则将对应的低频系数增大, 相反如果值为0, 则将对应的低频系数降低。在DWT域嵌入水印信息后, 然后通过IDWT变换, 将语音信号变换成时域信号。

**2.2 水印提取**

为了保证信息安全, 在发送端发送嵌入水印的音频信号, 而在接收端为了确定音频信息的准确性, 我们通常需要提取水印以确保来源的真实性, 因此水印的提取技术也尤为重要。在水印提取过程中, 需要原始音频信号与嵌入水印的音频信号同时进行DWT, 再将两者参数进行分析比较提取出水印信息。水印提取原理框图如图2所示。

在前面所述的水印嵌入过程中, 将水印信息嵌入高频的细节部分, 因此在提取水印过程中, 我们也只需比较原始语音信号S的低频小波系数向量c A与嵌入水印的音频信号s1的低频小波系数向量c A1作比较, 若c A1>c A, 则水印信息为1;反之则为0, 再通过向量平均, 如此得到水印信息的一维向量, 最后通过升维得到二值图像.

1.3 DCT算法

在图像隐写分析中，这几个特征是比较经典的图像隐写分析中DCT特征与Markov特征展现出了极大a的潜力，小波变换的奇异值分解（Wavelet Singular Value Decomposition ， WSVD）特征也有奇效，本文实现前人论文的特征提取编程代码。先说说理论知识 1 扩展DCT统计特征提取大多数的隐密算法都是对JPEG图像的DCT系数进行操作，以此来嵌入秘密信息。DCT系数统计特征，旨在捕捉DCT系数的统计量的特征，以此来区分载体图像和隐密图像。 DCT系数统计算法由Fridrich【1】提出，其中包含了DCT系数直方图，共生矩阵，空域块间相关性等部分。首先用DCT系数替换相同位置的原始图像像素，使用dij(k) 来表示DCT系数矩阵，其中i，j=1, … ,8，k=1, … ,nB。而dij(k)则代表的是在第k个8×8 DCT块中处于(i，j)位置的DCT系数，而DCT块一共有nB 块。为了减少计算量和特征维度，在计算特征之前需要进行预处理，将所有DCT系数值范围限定在[-5，5]之间，大于和小于该范围内的值全部变换为-5到+5之间。

其中，Ir和Ic表示图像DCT系数块的两种排列方式，分别是行扫描顺序和列扫描顺序。接下来的两个特征Bα是从解压的JPEG图像中计算，也是一种块间相关性的特征：在DCT系数统计的隐密分析中，Fridrich首次提出了用于隐密分析的“校准”概念和计算原理：特征计算函数F，训练或测试图像J1，将图像J1解压到空域并沿各个方向裁剪四个像素，然后使用同J1相同的量化表压缩得到的图像J2。f表示最终获取的特征，而最后的特征由f=F(J1)-F(J2)计算得到。

采用如此计算方式的原理如下：裁剪之后的图像和原始图像内容上大体上完全一致，虽然裁剪之后的图像失去了原来的DCT分块，但是其统计特征应与原来相差不多。而这个过程会对嵌入的信息十分敏感，使裁剪前后的特征差别较大。经过实验证明，如此提取特征的方法非常有效果。

总结来说，DCT系数统计特征对DCT系数全局和局部进行了统计分析，并且捕获DCT系数的块间相关性和空域像素的相关性等特征。对于JPEG图像来说，所有隐密算法都是针对DCT系数进行修改，该算法确实是有一定的效果。实验中，该特征集展现了不错的分析效果，在0.2的嵌入率情况下可以达到平均95%的准确率，但是对MB算法的效果一般，尤其是MB2。

原始DCT统计特征已经有一定的检测效果，本文先对其进行扩展，加强特征的检测效果。对于全局直方图函数H，可以得到范围在[-5，+ 5]中的元素个数的差异，包括全局直方图和局部直方图，局部直方图选择的位置为{(1, 2)，(2, 1)，(3, 1)，(2, 2)，(1, 3)}。因此，直方图特征是：

如此的DCT扩展特征共有193维，其特征组成见下表。

2 部分代码

function varargout = watermark(varargin)gui_Singleton = 1;gui_State = struct('gui_Name',       mfilename, ...                   'gui_Singleton',  gui_Singleton, ...                   'gui_OpeningFcn', @watermark_OpeningFcn, ...                   'gui_OutputFcn',  @watermark_OutputFcn, ...                   'gui_LayoutFcn',  [] , ...                   'gui_Callback',   []);if nargin && ischar(varargin{1})    gui_State.gui_Callback = str2func(varargin{1});endif nargout    [varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:});else    gui_mainfcn(gui_State, varargin{:});end% End initialization code - DO NOT EDIT% --- Executes just before watermark is made visible.function watermark_OpeningFcn(hObject, eventdata, handles, varargin)% This function has no output args, see OutputFcn.% hObject    handle to figure% eventdata  reserved - to be defined in a future version of MATLAB% handles    structure with handles and user data (see GUIDATA)% varargin   command line arguments to watermark (see VARARGIN)% Choose default command line output for watermarkhandles.output = hObject;% Update handles structureguidata(hObject, handles);h = handles.output; %返回其句柄newIcon = javax.swing.ImageIcon('logo.gif')figFrame = get(h,'JavaFrame'); %取得Figure的JavaFrame。figFrame.setFigureIcon(newIcon); %修改图标% box off;% backgroudImage=importdata('keda.jpg');% axes(handles.axes7);% imshow(backgroudImage);% axis off% % UIWAIT makes watermark wait for user response (see UIRESUME)% uiwait(handles.figure1);%set(handles.pushbutton,'CDATA',图片名)% --- Outputs from this function are returned to the command line.function varargout = watermark_OutputFcn(hObject, eventdata, handles) % varargout  cell array for returning output args (see VARARGOUT);% hObject    handle to figure% eventdata  reserved - to be defined in a future version of MATLAB% handles    structure with handles and user data (see GUIDATA)% Get default command line output from handles structurevarargout{1} = handles.output;% --- Executes on button press in daka.function daka_Callback(hObject, eventdata, handles)global Raw_image [filename, pathname]=uigetfile({'*.bmp','ALL FILES(*.*)'},'选择图片文件');if isequal([filename pathname],[0,0])    return;endstr=[pathname filename];%选择的声音文件路径和文件名Raw_image=imread(str);% handles.origil=Raw_imgae;% guidata(hObject,handles);axes(handles.axes2);imshow(Raw_image);title('宿主图像');function water_Callback(hObject, eventdata, handles)global Water_image flag flag2 [filename, pathname]=uigetfile({'*.bmp','ALL FILES(*.*)'},'选择图片文件');if isequal([filename pathname],[0,0])    return;endstr=[pathname filename];%选择的声音文件路径和文件名Water_image=imread(str);thresh = graythresh(Water_image);     %自动确定二值化阈值Water_image = double(im2bw(Water_image,thresh));       %对图像二值化flag=0;flag2=0;axes(handles.axes1);imshow(Water_image);title('原水印');function disorder_Callback(hObject, eventdata, handles)global Water_image Water_image_disorder flagprompt ={'请输入加密密钥（数字型）'};answer =inputdlg(prompt);key=str2num(answer{1});Water_image_disorder=disorder(Water_image,key);flag=1;axes(handles.axes8);imshow(Water_image_disorder);title('置乱水印');% --- Executes on button press in save.function save_Callback(hObject, eventdata, handles)global image [filename]=uiputfile({'*.bmp'},'文件保存'); imwrite(image,filename);% --------------------------------------------------------------------function Menu_Callback(hObject, eventdata, handles)% hObject    handle to Menu (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    structure with handles and user data (see GUIDATA)% --------------------------------------------------------------------function Menu1_Callback(hObject, eventdata, handles)% --- Executes on slider movement.function slider1_Callback(hObject, eventdata, handles)% global Raw_image  image Water_image_disorder Water_image flagglobal val1val1= get(hObject,'Value')/2;set(handles.alpha1,'String',num2str(val1));% if flag==1%     mark=Water_image_disorder;% else%     mark=Water_image;% end% choose1 = get (handles.choose,'Value');% if choose1==2%     [image,psnr]=dct_embed(Raw_image,mark);%     set(handles.PSNR,'String',num2str(psnr));%     axes(handles.axes3);%     imshow(uint8(image)); %     title('嵌入后的图像');% endfunction slider1_CreateFcn(hObject, eventdata, handles)% hObject    handle to slider1 (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    empty - handles not created until after all CreateFcns called% Hint: slider controls usually have a light gray background.if isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))    set(hObject,'BackgroundColor',[.9 .9 .9]);end% --- Executes on slider movement.function slider2_Callback(hObject, eventdata, handles)global val2val2= get(hObject,'Value')/10;set(handles.alpha2,'String',num2str(val2));function slider2_CreateFcn(hObject, eventdata, handles)if isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))    set(hObject,'BackgroundColor',[.9 .9 .9]);endfunction PSNR_Callback(hObject, eventdata, handles)function PSNR_CreateFcn(hObject, eventdata, handles)if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))    set(hObject,'BackgroundColor','white');endfunction NC_Callback(hObject, eventdata, handles)% hObject    handle to NC (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of NC as text%        str2double(get(hObject,'String')) returns contents of NC as a double% --- Executes during object creation, after setting all properties.function NC_CreateFcn(hObject, eventdata, handles)% hObject    handle to NC (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.%       See ISPC and COMPUTER.if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))    set(hObject,'BackgroundColor','white');end% --- Executes on selection change in choose.function choose_Callback(hObject, eventdata, handles)% global val1 val2choose1 = get (handles.choose,'Value');if choose1==1set(handles.slider1,'Enable','off');set(handles.slider2,'Enable','off');set(handles.disorder,'Enable','off');end if choose1==2set(handles.slider1,'Enable','on');set(handles.slider2,'Enable','on');set(handles.disorder,'Enable','on');end if choose1==3set(handles.slider1,'Enable','off');set(handles.slider2,'Enable','off');set(handles.disorder,'Enable','on');end % val1=0.1;% val2=0.03;function choose_CreateFcn(hObject, eventdata, handles)% hObject    handle to choose (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    empty - handles not created until after all CreateFcns called% Hint: popupmenu controls usually have a white background on Windows.%       See ISPC and COMPUTER.if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))    set(hObject,'BackgroundColor','white');end% --- Executes on button press in extract.function extract_Callback(hObject, eventdata, handles)global  Raw_image image markImage flag Water_image flag2 A_imagechoose1 = get (handles.choose,'Value');set(handles.gaosi,'Enable','on');set(handles.jianqie,'Enable','on');set(handles.salt,'Enable','on');if choose1==1    if flag2==1        [mark,nc1]=lsb_extract(A_image,Water_image,flag);        axes(handles.axes4);        imshow(uint8(A_image));        title('嵌入后的图像');    else        [mark,nc1]=lsb_extract(image,Water_image,flag);        axes(handles.axes4);        imshow(uint8(image));        title('嵌入后的图像');    end    set(handles.NC,'String',num2str(nc1));    axes(handles.axes9);    imshow(Water_image);    title('原水印');    axes(handles.axes5)    imshow(mark);    title('提取水印');    axes(handles.axes6)    imshow((Raw_image));    title('原图像');endif choose1==2    if flag2==1        [mark,nc1]=dct_extract(Raw_image,A_image,Water_image,flag);         axes(handles.axes4);         imshow(uint8(A_image));         title('嵌入后的图像');    else        [mark,nc1]=dct_extract(Raw_image,image,Water_image,flag);        axes(handles.axes4);        imshow(uint8(image));        title('嵌入后的图像');    end    set(handles.NC,'String',num2str(nc1));     axes(handles.axes9);    imshow(Water_image);    title('原水印');    axes(handles.axes5)    imshow(mark);    title('提取水印');    axes(handles.axes6)    imshow(uint8(Raw_image));    title('原图像');endif choose1==3    if flag2==1         [mark,nc1]=dwt_extract(Raw_image,A_image,Water_image,flag);          axes(handles.axes4);          colormap(gray(256));          imshow(uint8(A_image));          title('嵌入后的图像');    else         [mark,nc1]=dwt_extract(Raw_image,image,Water_image,flag);         axes(handles.axes4);         colormap(gray(256));         imshow(uint8(image));         title('嵌入后的图像');    end    set(handles.NC,'String',num2str(nc1));    axes(handles.axes9);    imshow(Water_image);    title('原水印');    axes(handles.axes5)    imshow(mark);    title('提取水印');    axes(handles.axes6)    imshow(Raw_image);    title('原图像');endflag=0;flag2=0;function gaosi_Callback(hObject, eventdata, handles)global image gaussionVal flag2 A_imageif (gaussionVal>0) & (gaussionVal<=1)A_image=attack_gaussion(image,gaussionVal);axes(handles.axes4);imshow(A_image)set(handles.salt,'Enable','off');set(handles.jianqie,'Enable','off');flag2=1;else    h=warndlg('未选择高斯攻击强度!!!','警告');      returnend% --- Executes on button press in jianqie.function jianqie_Callback(hObject, eventdata, handles)global image flag2 A_imageprompt ={'请输入剪切大小'};response =inputdlg(prompt);measure=str2num(response{1});A_image=(attack_cut(image,measure));  axes(handles.axes4);imshow(uint8(A_image));set(handles.salt,'Enable','off');set(handles.gaosi,'Enable','off');flag2=1;function salt_Callback(hObject, eventdata, handles)global image saltVal flag2 A_imageif (saltVal>0) & (saltVal<=0.1)A_image=attack_salt(image,saltVal);axes(handles.axes4);imshow(uint8(A_image));set(handles.gaosi,'Enable','off');set(handles.jianqie,'Enable','off');flag2=1;else     h=warndlg('未选择椒盐攻击强度!!!','警告');      returnend% --- Executes on button press in embed.function embed_Callback(hObject, eventdata, handles)global Raw_image  image Water_image_disorder Water_image flag markImage val1 val2if flag==1    markImage=Water_image_disorder;else    markImage=Water_image;endchoose1 = get (handles.choose,'Value');if choose1==1    [image,psnr]=lsb_embed(markImage,Raw_image);    set(handles.PSNR,'String',num2str(psnr));    axes(handles.axes3);    imshow(image);    title('嵌入后的图像');    set(handles.save,'Enable','on');endif choose1==2    if (val1>0)&(val1<=0.5)&(val2>0)&(val2<=0.1)         [image,psnr]=dct_embed(Raw_image,markImage,val1,val2);          set(handles.PSNR,'String',num2str(psnr));          axes(handles.axes3);          imshow(uint8(image));          title('嵌入后的图像');          set(handles.save,'Enable','on');    else          h=warndlg('未选择嵌入强度!!!','警告');           return    endendif choose1==3    [image,psnr]=dwt_embed(Raw_image,markImage);    set(handles.PSNR,'String',num2str(psnr));    axes(handles.axes3);    imshow(uint8(image));    title('嵌入后的图像');    set(handles.save,'Enable','on');end% --- Executes during object creation, after setting all properties.function daka_CreateFcn(hObject, eventdata, handles)% hObject    handle to daka (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    empty - handles not created until after all CreateFcns called% --------------------------------------------------------------------function audio_Callback(hObject, eventdata, handles)run('watermarking.m');function alpha1_Callback(hObject, eventdata, handles)% hObject    handle to alpha1 (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of alpha1 as text%        str2double(get(hObject,'String')) returns contents of alpha1 as a double% --- Executes during object creation, after setting all properties.function alpha1_CreateFcn(hObject, eventdata, handles)% hObject    handle to alpha1 (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.%       See ISPC and COMPUTER.if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))    set(hObject,'BackgroundColor','white');endfunction alpha2_Callback(hObject, eventdata, handles)% hObject    handle to alpha2 (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of alpha2 as text%        str2double(get(hObject,'String')) returns contents of alpha2 as a double% --- Executes during object creation, after setting all properties.function alpha2_CreateFcn(hObject, eventdata, handles)% hObject    handle to alpha2 (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.%       See ISPC and COMPUTER.if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))    set(hObject,'BackgroundColor','white');end% --------------------------------------------------------------------function refresh_Callback(hObject, eventdata, handles)cla(handles.axes1,'reset');set(handles.axes1,'xTick',[]);set(handles.axes1,'yTick',[]);cla(handles.axes2,'reset');set(handles.axes2,'xTick',[]);set(handles.axes2,'yTick',[]);cla(handles.axes3,'reset');set(handles.axes3,'xTick',[]);set(handles.axes3,'yTick',[]);cla(handles.axes4,'reset');set(handles.axes4,'xTick',[]);set(handles.axes4,'yTick',[]);cla(handles.axes5,'reset');set(handles.axes5,'xTick',[]);set(handles.axes5,'yTick',[]);cla(handles.axes9,'reset');set(handles.axes9,'xTick',[]);set(handles.axes9,'yTick',[]);cla(handles.axes6,'reset');set(handles.axes6,'xTick',[]);set(handles.axes6,'yTick',[]);cla(handles.axes8,'reset');set(handles.axes8,'xTick',[]);set(handles.axes8,'yTick',[]);clear all;clc;% --- Executes on slider movement.function gaussionIndensity_Callback(hObject, eventdata, handles)global gaussionValgaussionVal= get(hObject,'Value');set(handles.edit6,'String',num2str(gaussionVal));function gaussionIndensity_CreateFcn(hObject, eventdata, handles)% hObject    handle to gaussionIndensity (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    empty - handles not created until after all CreateFcns called% Hint: slider controls usually have a light gray background.if isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))    set(hObject,'BackgroundColor',[.9 .9 .9]);end% --- Executes on slider movement.function slider4_Callback(hObject, eventdata, handles)global saltValsaltVal= get(hObject,'Value')/10;set(handles.edit7,'String',num2str(saltVal));function slider4_CreateFcn(hObject, eventdata, handles)% hObject    handle to slider4 (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    empty - handles not created until after all CreateFcns called% Hint: slider controls usually have a light gray background.if isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))    set(hObject,'BackgroundColor',[.9 .9 .9]);endfunction edit6_Callback(hObject, eventdata, handles)% hObject    handle to edit6 (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of edit6 as text%        str2double(get(hObject,'String')) returns contents of edit6 as a double% --- Executes during object creation, after setting all properties.function edit6_CreateFcn(hObject, eventdata, handles)% hObject    handle to edit6 (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.%       See ISPC and COMPUTER.if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))    set(hObject,'BackgroundColor','white');endfunction edit7_Callback(hObject, eventdata, handles)% hObject    handle to edit7 (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    structure with handles and user data (see GUIDATA)% Hints: get(hObject,'String') returns contents of edit7 as text%        str2double(get(hObject,'String')) returns contents of edit7 as a double% --- Executes during object creation, after setting all properties.function edit7_CreateFcn(hObject, eventdata, handles)% hObject    handle to edit7 (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    empty - handles not created until after all CreateFcns called% Hint: edit controls usually have a white background on Windows.%       See ISPC and COMPUTER.if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))    set(hObject,'BackgroundColor','white');end% --- Executes during object creation, after setting all properties.function uipanel2_CreateFcn(hObject, eventdata, handles)% hObject    handle to uipanel2 (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    empty - handles not created until after all CreateFcns called% --- Executes during object creation, after setting all properties.function axes2_CreateFcn(hObject, eventdata, handles)set(hObject,'xTick',[]);set(hObject,'ytick',[]);% --- Executes during object creation, after setting all properties.function axes1_CreateFcn(hObject, eventdata, handles)set(hObject,'xTick',[]);set(hObject,'ytick',[]);% --- Executes during object creation, after setting all properties.function axes8_CreateFcn(hObject, eventdata, handles)set(hObject,'xTick',[]);set(hObject,'ytick',[]);% --- Executes during object deletion, before destroying properties.function axes3_DeleteFcn(hObject, eventdata, handles)% hObject    handle to axes3 (see GCBO)% eventdata  reserved - to be defined in a future version of MATLAB% handles    structure with handles and user data (see GUIDATA)% --- Executes during object creation, after setting all properties.function axes3_CreateFcn(hObject, eventdata, handles)set(hObject,'xTick',[]);set(hObject,'ytick',[]);% --- Executes during object creation, after setting all properties.function axes4_CreateFcn(hObject, eventdata, handles)set(hObject,'xTick',[]);set(hObject,'ytick',[]);% --- Executes during object creation, after setting all properties.function axes5_CreateFcn(hObject, eventdata, handles)set(hObject,'xTick',[]);set(hObject,'ytick',[]);% --- Executes during object creation, after setting all properties.function axes9_CreateFcn(hObject, eventdata, handles)set(hObject,'xTick',[]);set(hObject,'ytick',[]);% --- Executes during object creation, after setting all properties.function axes6_CreateFcn(hObject, eventdata, handles)set(hObject,'xTick',[]);set(hObject,'ytick',[]);% --------------------------------------------------------------------function caitu_Callback(hObject, eventdata, handles)run('gui.m');

3 仿真结果

4 参考文献

[1]吴和静, 闵昆龙, 刘芳,等. 基于DCT域的图像数字水印算法及matlab实现[J]. 中国科技信息, 2014(9):2.

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部分理论引用网络文献，若有侵权联系博主删除。