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li9_23
clear all
I=imread( lena.bmp )
figure imshow(I)
I2=imrotate(I,-4, bilinear ) 逆时针旋转4度
figure imshow(I2)
I3=fliplr(I) 垂直镜像
figure imshow(I3)
I4=imresize(I,0.5, bilinear ) 缩小为原图的1/2
figure imshow(I4)
A=double(I) 转换为double类型
计算7个不变矩
[nc,nr]=size(A)
[x,y]=meshgrid(1:nr,1:nc) 得到网格
x=x(:)
y=y(:)
A=A(:)
m.m00=sum(A)
if m.m00==0
m.m00=eps
end
m.m10=sum(x.*A)
m.m01=sum(y.*A)
计算均值
xmean=m.m10/m.m00
ymean=m.m01/m.m00
计算中心矩(li9_23.rar
cm.cm00=m.m00
cm.cm02=(sum((y-ymean).^2.*A))/(m.m00^2)
cm.cm03=(sum((y-ymean).^3.*A))/(m.m00^2.5)
cm.cm11=(sum((x-xmean).*(y-ymean).*A))/(m.m00^2)
cm.cm12=(sum((x-xmean).*(y-ymean).^2.*A))/(m.m00^2.5)
cm.cm20=(sum((x-xmean).^2.*A))/(m.m00^2)
cm.cm21=(sum((x-xmean).^2.*(y-ymean).*A))/(m.m00^2.5)
cm.cm30=(sum((x-xmean).^3.*A))/(m.m00^2.5)
im(1)=cm.cm20+cm.cm02
im(2)=(cm.cm20-cm.cm02)^2+4*cm.cm11^2
im(3)=(cm.cm30-3*cm.cm12)^2+(3*cm.cm21-cm.cm03)^2
im(4)=(cm.cm30+cm.cm12)^2+(cm.cm21+cm.cm03)^2
im(5)=(cm.cm30-3*cm.cm12)*(cm.cm30+cm.cm12)...
*((cm.cm30+cm.cm12)^2-3*(cm.cm21+cm.cm03)^2)...
+(3*cm.cm21-cm.cm03)*(cm.cm21+cm.cm03)...
+(3*(cm.cm30+cm.cm12)^2-(cm.cm21+cm.cm03)^2)
im(6)=(cm.cm20-cm.cm02)*((cm.cm30+cm.cm12)^2-(cm.cm21+cm.cm03)^2)...
+4*cm.cm11*(cm.cm30+cm.cm12)*(cm.cm21+cm.cm03)
im(7)=(3*cm.cm21-cm.cm03)*(cm.cm30+cm.cm12)...
*((cm.cm30+cm.cm12)^2-3*(cm.cm21+cm.cm03)^2)...
+(3*cm.cm12-cm.cm30)*(cm.cm21+cm.cm03)...
*()
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