📄 image_registr_mi.m
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function f=image_registr_MI(x)
% This is a subroutine of opti_MI_scaling.m.
load image
IM1=double(IM1);
IM2=double(IM2);
IM2=imresize(IM2, x(4), 'bilinear');
J=imrotate(double(IM2), x(3),'bilinear'); %rotated cropped IMAGE2
J=abs(J)*255/max(max(J));
[n1 n2]=size(IM1);
[n3 n4]=size(J);
if n1>n3-x(1)/2
f=1000;
message=strvcat('The scaling factor is too small.', 'Press Ctrl+C to stop.',...
'Increase x0(4) and restart.');
disp('Press Ctrl+C to stop.')
Errordlg(message)
pause;
else
if x(1)>n3-n1
x(1)=n3-n1-1;
IM1(1:n1, 1:n2)=255;
end
if x(2)>n4-n2
x(2)=n4-n2-1;
IM1(1:n1, 1:n2)=255;
end
if x(1)<0
x(1)=0;
IM1(1:n1, 1:n2)=255;
end
if x(2)<0
x(2)=0;
IM1(1:n1, 1:n2)=255;
end
xt=1:n1;
yt=1:n2;
xx=round(xt+x(1));
yy=round(yt+x(2));
IM2=round(J(xx, yy)); % selecting part of IMAGE2 matching the size of IMAHE1
rows=size(IM1,1);
cols=size(IM2,2);
N=256;
h=zeros(N,N);
for ii=1:rows; % col
for jj=1:cols; % rows
h(IM1(ii,jj)+1,IM2(ii,jj)+1)= h(IM1(ii,jj)+1,IM2(ii,jj)+1)+1;
end
end
[r,c] = size(h);
b= h./(r*c); % normalized joint histogram
y_marg=sum(b); %sum of the rows of normalized joint histogram
x_marg=sum(b');%sum of columns of normalized joint histogran
Hy=0;
for i=1:c; % col
if( y_marg(i)==0 )
%do nothing
else
Hy = Hy + -(y_marg(i)*(log2(y_marg(i)))); %marginal entropy for image 1
end
end
Hx=0;
for i=1:r; %rows
if( x_marg(i)==0 )
%do nothing
else
Hx = Hx + -(x_marg(i)*(log2(x_marg(i)))); %marginal entropy for image 2
end
end
h_xy = -sum(sum(b.*(log2(b+(b==0))))); % joint entropy
f=-(Hx+Hy-h_xy);% Mutual information
%x
end
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