基于MATALB的多光谱影像与全色影像（高分辨率）的融合的几种方法

不念不忘少年蓝@ 2022-10-22 09:16 174阅读 0赞

## 基于MATALB的多光谱影像与全色影像（高分辨率）的融合的几种方法 ##

![在这里插入图片描述][20210325221804881.png]  
![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQ2ODc3Njk3_size_16_color_FFFFFF_t_70]  
1.HIS方法

clear ;close ;clc;
    %加载图片
    load Sichuan;
    
    % %将图片转换为三波段的光谱低分辨率和全色高分辨率
    ImageMS = 255*ImageMS/max(max(max(ImageMS)));
    ImageP = 255*ImageP/max(max(max(ImageP)));
    tp = ImageMS(:,:,3);
    ImageMS(:,:,3) = ImageMS(:,:,1);
    ImageMS(:,:,1) = tp;
    %全色高分辨率
    High=ImageP(:,:);
    %三波段的多光谱低分辨率
    Multy=ImageMS(:,:,1:3);
    
    %多光谱影像从RGB转到IHS
    IHS=rgb2hsv(Multy/255);
    %得到IHS矩阵的第三页，因为第三页才是I亮度
    I=IHS(:,:,3);
    
    %下面进行灰度直方图的规定化，把I作为标准，对高分辨率影像进行处理
    %读入标准图像，得到I的大小和维度
    [m_mul,n_mul,d_mul]=size(I);
    %计算规定直方图各个像素的概率
    Multy_hist=(imhist(I)/(m_mul*n_mul));
    
    %读入要被规定化的图像
    [q,p]=imhist(High/255);
    %得到高分辨率影像的大小及其维度
    [m_h,n_h,d_h]=size(High);
    %计算原始直方图各个像素的概率
    High_hist=(imhist((High/255))/(m_h*n_h));
    
    Mul_V=[];
    High_V=[];
    
    %计算规定累计直方图和原始累计直方图概率
    for i=1:256
        Mul_V=[ Mul_V sum(Multy_hist(1:i))];
        High_V=[High_V sum(High_hist(1:i))];
    end
    
    %开始对像素进行SML映射
    for i=1:256
        %把多光谱的累计概率与高分辨率的累计概率的每一个概率做差
        value{
        i}=Mul_V-High_V(i);
        %取绝对值（因为接近无论 正负）
        value{
        i}=abs(value{
        i});
        %找到最接近的，即为映射的灰度级（index）【即原始图像第i级对应第index(i)级】
        %temp是最小值
        [temp index(i)]=min(value{
        i});
    end
    
    High=uint8(High);
    %设新图像的大小与高分辨率图像等大
    newimg=zeros(m_h,n_h);
    %对新I像素进行赋值
    for i=1:m_h
        for j=1:n_h
            %把规定化后的灰度级赋值给newimg
            newimg(i,j)=index((High(i,j)+1))-1;
        end
    end
    
    subplot(1,3,1);
    imhist(uint8(High)); %显示变换前的直方图
    subplot(1,3,2);
    imhist(uint8(Multy));%产生规定化模板
    subplot(1,3,3);
    imhist(newimg/255);% 规定化变换后的直方图
    
    %把IHS的H与S变成与高分辨率图像等大，同时把IHS的原I用新的I替换
    newIHS(:,:,1)=imresize(IHS(:,:,1),[540,600]);
    newIHS(:,:,2)=imresize(IHS(:,:,2),[540,600]);
    newIHS(:,:,3)=newimg;
    
    %把替换完成的图像从IHS转为RGB，并输出图像
    newRGB=hsv2rgb(newIHS);
    figure
    subplot(1,2,1);
    imshow(uint8(Multy));
    title('多波段');
    subplot(1,2,2);
    imshow(uint8(High));
    title('高分辨率');
    figure
    imshow(uint8(newRGB));
    title('合成图');

结果图：  
![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQ2ODc3Njk3_size_16_color_FFFFFF_t_70 1]  
2.小波变换

%小波变换
    clear ;close ;clc;
    %加载图片
    load Sichuan;
    %将图片转换为三波段的多光谱低分辨率和全色高分辨率
    ImageMS = 255*ImageMS/max(max(max(ImageMS)));
    ImageP = 255*ImageP/max(max(max(ImageP)));
    tp = ImageMS(:,:,3);
    ImageMS(:,:,3) = ImageMS(:,:,1);
    ImageMS(:,:,1) = tp;
    %全色高分辨率
    High=double(ImageP(:,:))/255;
    %三波段的多光谱低分辨率
    Multy=double(ImageMS(:,:,1:3))/255;
    %得到RGB三元色矩阵
    Multy_R=Multy(:,:,1)*1.5;
    Multy_G=Multy(:,:,2)*1.5;
    Multy_B=Multy(:,:,3)*1.5;
    
    %将高分辨率影响进行2维小波分解
    % c1是对应的整幅图数据的向量；
    [c1,s1]=wavedec2(High,2,'sym4');  
    sizec1=size(c1);
    for I=1:sizec1(2)
        c1(I)=1.8*c1(I); %将分解后的值都扩大
    end
    %把RGB都变成与高分辨率影响同等大小，再进行小波分解
    Multy_R=imresize(Multy_R,[540 600]);
    [cr,sr]=wavedec2(Multy_R,2,'sym4');
    Multy_G=imresize(Multy_G,[540 600]);
    [cg,sg]=wavedec2(Multy_G,2,'sym4');
    Multy_B=imresize(Multy_B,[540 600]);
    [cb,sb]=wavedec2(Multy_B,2,'sym4');
    
    
    %把RGB的分解值分别都与高分辨率进行求均值与重构
    cr1=c1+cr ;     %计算小波系数平均值
    cr1=0.5*cr1;
    sr1=s1+sr;     %对像素进行求和后取平均
    sr1=0.5*sr1;
    xxr=waverec2(cr1,sr1,'sym4');  %进行重构
    
    cg1=c1+cg ;     %计算平均值
    cg1=0.5*cg1;
    sg1=s1+sg;
    sg1=0.5*sg1;
    xxg=waverec2(cg1,sg1,'sym4');  %进行重构
    
    cb1=c1 +cb ;     %计算平均值
    cb1=0.5*cb1;
    sb1=s1+sb;
    sb1=0.5*sb1;
    xxb=waverec2(cb1,sb1,'sym4');  %进行重构
    
    %把重构后的矩阵合成RGB三维矩阵即可
    xx=cat(3,xxr,xxg,xxb);
    figure(1)
    subplot(1,2,1);
    imshow(High),title('高分辨率影像');
    axis square;
    
    subplot(1,2,2);
    imshow(Multy),title('多波段影像');
    axis square;
    
    IHS=rgb2hsv(xx);
    S=IHS(:,:,2)*1.8;
    IHS(:,:,2)=S;
    I=IHS(:,:,3)*0.59;
    IHS(:,:,3)=I;
    
    xx=hsv2rgb(IHS);
    figure
    imshow(1.25*xx),title('融合后影像');
    axis square;

结果图：  
![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQ2ODc3Njk3_size_16_color_FFFFFF_t_70 2]  
3.Brovery

clear ;close ;clc;
    %加载图片
    load Sichuan;
    %将图片转换为三波段的多光谱低分辨率和全色高分辨率
    ImageMS = 255*ImageMS/max(max(max(ImageMS)));
    ImageP = 255*ImageP/max(max(max(ImageP)));
    tp = ImageMS(:,:,3);
    ImageMS(:,:,3) = ImageMS(:,:,1);
    ImageMS(:,:,1) = tp;
    %全色高分辨率
    High=double(ImageP(:,:))/255;
    %三波段的多光谱低分辨率
    Multy=double(ImageMS(:,:,1:3))/255;
    Multy=imresize(Multy,[540 600]);
    [a,b,c]=size(Multy);
    x=double(Multy);
    y1=double(High);
    xx=zeros(a,b,c);
    p=zeros(a,b,c);
    %根据公式
    % R=pan*band3/(band1+band2+ band3)
    % G=pan*band2/(band1+band2+ band3)
    % B=pan*band1/(band1+band2+ band3)
    for f=1:a
        for e=1:b
            xx(f,e)=x(f,e,1)+x(f,e,2)+x(f,e,3);
            p(f,e,1)=x(f,e,1)*y1(f,e)/xx(f,e);
            p(f,e,2)=x(f,e,2)*y1(f,e)/xx(f,e);
            p(f,e,3)=x(f,e,3)*y1(f,e)/xx(f,e);
        end
    end
    imshow(p*4);
    title('融合图像');

结果图：  
![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQ2ODc3Njk3_size_16_color_FFFFFF_t_70 3]

[20210325221804881.png]: /images/20221022/55403726ce38444d991e59209209e4e6.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQ2ODc3Njk3_size_16_color_FFFFFF_t_70]: /images/20221022/d2961ca541c040b2a95655c540bac762.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQ2ODc3Njk3_size_16_color_FFFFFF_t_70 1]: /images/20221022/51dc076b4d4e47c79311bb83748a8425.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQ2ODc3Njk3_size_16_color_FFFFFF_t_70 2]: /images/20221022/b56d19134fe442e3ac7bfc8a510edc5d.png
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzQ2ODc3Njk3_size_16_color_FFFFFF_t_70 3]: /images/20221022/d58fe598cd8740e0a16a896a07b5d9ec.png