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📄 matlab小波边缘检测程序.m

📁 小波边缘检测matlab程序 matlabxby.rar
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%load woman;
X=imread('Miss.bmp');
clear coef1;
clear coef2;
clear coef3;
clear form;
x=X;
x=double(x);%200 line,300 column; 
line=250;
column=250;
J=6;
Tu=7;
smooth_area_num=20;
edge_area_num=40;
for i=1:line
  coef1(i,:)=cwt(x(i,:),1,'bior4.4');
  coef2(i,:)=cwt(x(i,:),2,'bior4.4');
  coef3(i,:)=cwt(x(i,:),J,'bior4.4');
end
%正值1,负值0的矩阵temp表示(突变点左位置)
max=0;
max_loc=0;
max_num=15;
for i=1:line
    j=1;
    while j<column-1
    
        if (coef3(i,j)>0 & coef3(i,j+1)<0) | (coef3(i,j)<0 & coef3(i,j+1)>0 )%找到左位置j
            for k=j+1:column-1
               
                if coef3(i,k)*coef3(i,j)>=0%找到右位置k
                    for m=j:k
                        if abs(coef3(i,m))>max
                            max=abs(coef3(i,m));
                            max_loc=m;
                        end
                    end
                    if max>max_num
                       form(i,max_loc)=1;
                    end
                    j=k;
                    max=0;
                    break;
                end
            end%for k
            if k==column-1
                j=column-1;
            end
        else
            j=j+1;
        end%if
    end%while
end
%for i=1:line
%    for j=1:column
%        if abs(coef1(i,j))>=2*abs(coef2(i,j)) %是否加绝对值?!!!!!!!!!!!!!!!!!!!!!!!!!!!
%           form(i,j)=0;%第一种方法去噪声
%        end
%    end
%end
%*****************************************************
%对列作小波变换
x=x';
for i=1:line
  coef1(i,:)=cwt(x(i,:),1,'bior4.4');
  coef2(i,:)=cwt(x(i,:),2,'bior4.4');
  coef3(i,:)=cwt(x(i,:),J,'bior4.4');
end
%正值1,负值0的矩阵temp表示(突变点左位置)
max=0;
max_loc=0;
for i=1:line
    j=1;
    while j<column-1
    
        if (coef3(i,j)>0 & coef3(i,j+1)<0) | (coef3(i,j)<0 & coef3(i,j+1)>0 )%找到左位置j
            for k=j+1:column-1
               
                if coef3(i,k)*coef3(i,j)>=0%找到右位置k
                    for m=j:k
                        if abs(coef3(i,m))>max
                            max=abs(coef3(i,m));
                            max_loc=m;
                        end
                    end
                    if max>max_num
                       form(max_loc,i)=1;
                    end
                    j=k;
                    max=0;
                    break;
                end
            end%for k
            if k==column-1
                j=column-1;
            end
        else
            j=j+1;
        end%if
    end%while
end
%包括噪声在内的所有极值点①
%for i=1:line
%    for j=1:column
%        if abs(coef1(i,j))>=2*abs(coef2(i,j)) %是否加绝对值?!!!!!!!!!!!!!!!!!!!!!!!!!!!
%           form(i,j)=0;%第一种方法去噪声
%        end
%    end
%end
%此处添加用第二种方法去噪!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!② 结束
for i=2:line-2
    for j=2:column-2
        %链长为1
        if form(i,j-1)==0 & form(i,j+1)==0 & form(i-1,j-1)==0 & form(i-1,j)==0 & form(i-1,j+1)==0 & form(i+1,j-1)==0 & form(i+1,j)==0 & form(i+1,j+1)==0
           form(i,j)=0;%
        end
        
        %****************************************
        %链长为2
        %0000
        %0110
        %0000
        if form(i,j)==1 & form(i,j+1)==1 & sum(sum(form(i-1:i+1,j-1:j+2)))==2
            form(i,j)=0;
            form(i,j+1)=0;
        end
        %000
        %010
        %010
        %000
        if form(i,j)==1 & form(i+1,j)==1 & sum(sum(form(i-1:i+2,j-1:j+1)))==2
            form(i,j)=0;
            form(i+1,j)=0;
        end
        %0000
        %0100
        %0010
        %0000
        if form(i,j)==1 & form(i+1,j+1)==1 & sum(sum(form(i:i+1,j:j+1)))==2
            if sum(sum(form(i-1:i+2,j-1:j+2)))==3 & ( form(i-1,j+2)==1 | form(i+2,j-1)==1)
                form(i,j)=0;
                form(i+1,j+1)=0;
            end
            if sum(sum(form(i-1:i+2,j-1:j+2)))==4 &  form(i-1,j+2)==1 & form(i+2,j-1)==1
                form(i,j)=0;
                form(i+1,j+1)=0;
            end
        end
        %0000
        %0010
        %0100
        %0000
        if form(i,j+1)==1 & form(i+1,j)==1 & sum(sum(form(i:i+1,j:j+1)))==2
            if sum(sum(form(i-1:i+2,j-1:j+2)))==3 & ( form(i-1,j-1)==1 | form(i+2,j+2)==1)
                form(i,j+1)=0;
                form(i+1,j)=0;
            end
            if sum(sum(form(i-1:i+2,j-1:j+2)))==4 &  form(i-1,j-1)==1 & form(i+2,j+2)==1
                form(i,j+1)=0;
                form(i+1,j)=0;
            end
        end
    end
end
%!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1!!
max=0;


            
    
            
for i=3:line-3
    for j=3:column-3
        s=sum(sum(form(i-2:i+2,j-2:j+2)));
            for m=i-2:i+2
                for n=j-2:j+2
                    if s>=7 & abs(coef3(m,n))<=s*3
                        form(m,n)=0;
                    end
                end
            end
        end
    end
end
            
            
%显示form即为边缘检测图像










i=1;








%load bust;
%加入含噪
[X1,map]=imread('miss.bmp');
%init=2055615866;
%randn('seed',init);
%X1=X+20*randn(size(X));
subplot(221);image(X1);
title('原始图像');axis square;
%用小波db4对图像X进行一层小波包分解
T=wpdec2(X1,1,'db4');
%重构图像近似部分
A=wprcoef(T,[1,0]);
subplot(222);image(A);
title('图像的近似部分');
axis square;
%边缘检测
%原图像的边缘检测
BW1=edge(A,'sobel');
subplot(223);imshow(BW1);
title('原图像的边缘');
axis square;
%图像近似部分的边缘检测
BW2=edge(X1,'sobel');
subplot(224);imshow(BW2);
title('图像近似部分的边缘');
axis square;



























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