两个matlab实现最大熵法图像分割程序.doc

%两个程序，亲测可用clear alla=imread(moon.tif);figure,imshow(a)count=imhist(a);m,n=size(a);N=m*n;L=256;count=count/N;%每一个像素的分布概率countfor i=1:L if count(i)=0 st=i-1; break; endendstfor i=L:-1:1 if count(i)=0 nd=i-1; break; endendndf=count(st+1:nd+1); %f是每个灰度出现的概率size(f)E=;for Th=st:nd-1 %设定初始分割阈值为Thav1=0;av2=0;Pth=sum(count(1:Th+1);%第一类的平均相对熵为for i=0:Th av1=av1-count(i+1)/Pth*log(count(i+1)/Pth+0.00001);end%第二类的平均相对熵为for i=Th+1:L-1 av2=av2-count(i+1)/(1-Pth)*log(count(i+1)/(1-Pth)+0.00001);endE(Th-st+1)=av1+av2;endposition=find(E=(max(E);th=st+position-1 for i=1:m for j=1:n if a(i,j)th a(i,j)=255; else a(i,j)=0; end endend figure,imshow(a);%2-d 最大熵法(递推方法) %clear all; clc; tic a=imread(trial2_2.tiff); figure,imshow(a); a0=double(a); m,n=size(a); h=1; a1=zeros(m,n); % 计算平均领域灰度的一维灰度直方图 for i=1:m for j=1:n for k=-h:h for w=-h:h; p=i+k; q=j+w; if (pm) p=i; end if (qn) q=j; end a1(i,j)=a0(p,q)+a1(i,j); end end a2(i,j)=uint8(1/9*a1(i,j); end end fxy=zeros(256,256); % 计算二维直方图 for i=1:m for j=1:n c1=a0(i,j); d=double(a2(i,j); fxy(c1+1,d+1)=fxy(c1+1,d+1)+1; end end Pxy=fxy/m/n; % figure, % mesh(Pxy); % title(二维灰度直方图); %计算Hl Hl=0; for i=1:256 for j=1:256 if Pxy(i,j)0.00001 Hl=Hl-Pxy(i,j)*log(Pxy(i,j); else Hl=Hl; end end end %计算PA,HA PA=zeros(256,256); HA=zeros(256,256); PB=zeros(256,256); PA(1,1)=Pxy(1,1); if PA(1,1)0.00001 HA(i,1)=HA(i-1,1)-Pxy(i,1)*log(Pxy(i,1); else HA(i,1)=HA(i-1,1); end end for j=2:256 PA(1,j)=PA(1,j-1)+Pxy(1,j); if Pxy(1,j)0.00001 HA(1,j)=HA(1,j-1)-Pxy(1,j)*log(Pxy(1,j); else HA(1,j)=HA(1,j-1); end end for i=2:256 for j=2:256 PA(i,j)=PA(i-1,j)+PA(i,j-1)-PA(i-1,j-1)+Pxy(i,j); if Pxy(i,j)0.00001 HA(i,j)=HA(i-1,j)+HA(i,j-1)-HA(i-1,j-1)-Pxy(i,j)*log(Pxy(i,j); else HA(i,j)=HA(i-1,j)+HA(i,j-1)-HA(i-1,j-1); end end end %计算最大熵 PB=1-PA; h=zeros(256,256); hmax=0; for i=1:256 for j=1:256 if abs(PA(i,j)0.00001&abs(PB(i,j)0.00001 h(i,j)=log(PA(i,j)*PB(i,j)+HA(i,j)/PA(i,j)+(Hl-HA(i,j)/PB(i,j); else h(i,j)=0; end if h(i,j)hmax hmax=h(i,j); s=i-1; t=j-1; end end end z=ones(m,n); for i=1:m for j=1:n if a0(i,j)=s&a2(i,j)=t %if doub