MATLAB

on Michael Vorburger's Personal Homepage
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These are the MATLAB scripts programmed to implement the project Face Recognition and Data Analysis as described in-depth in the scientific report.

mtv.m

%matrix to vector convertion
function [vector]= mtv(matrix)
[h, w]= size(matrix);
for ii= 1:h
  vector((ii-1)*w+1:ii*w)= matrix(ii, :);
end

itw.m

% itw - image to weights
% calcs eight weight factors of a face based on nefaces
function [wv]=itw(fname_tiff) 
  global nefaces
  global v
  [I, anymap]=tiffread(fname_tiff);
  Iv=mtv(I);
  Iv=Iv-v;
  for k=1:8
    wv(k)=dot(nefaces(k,:),Iv)
  end
  wv=wv';
%   wv=nefaces'*Iv;
end

line.m

function [val]=linearize(vector,efaces)
for i=1:8;
    val(i)=efaces(:,i)*vector';
end;

line2.m

%linearize part ii the sequel
coord=linearize(A(:,1),efaces);
for j=2:9;
coord=[coord; linearize(A(:,j),efaces)];
end;

cenrad.m

cen=[((coord(:,1)+coord(:,2)+coord(:,3))/3)'];
for i=1:2;
    cen=[cen; ((coord(:,(3*i)+1)+coord(:,(3*i)+2)+coord(:,(3*i)+3))/3)'];
end;
cen=cen';
for i=1:3;
    rad(i)= norm(cen(:,i)-coord(:,(3*i)));
end;

norma.m

% Normalize vectors in 9xHUGE matrix


function [om]=normalize(im)
  % in- & out-matrix
  for i=1:9
    om(i, :)=im(i, :)/norm(im(i, :) );
  end

phase1.m

% calculate average image of all tiffs in current directory
% place average in v vector
% place vectors of remaining tiffs in A matrix
%

! /bin/ls -1 *.tiff  >directory.txt

fid= fopen('directory.txt');
counter=1;
  s=fgetl(fid)
  [t,map]=tiffread(s);
  v= mtv (t);

%initializing A matrix to store picture vectors

  A=v; 

while (~feof(fid))
 
 s=fgetl(fid)
  if (s==-1) break;
   else  
  [t,map]=tiffread(s);
% storing new tiff vector in A
  A=[A;mtv(t)];
	
counter=counter+1 

end
end
fclose(fid);
%averaging thing
v=((sum(A))/counter);

%Make A a list of the distances of the vectors of the average
 for i=1:counter
   A(i,:)=A(i,:)-v;
  end

%Now to create C=A'A
%***C=A'*A;
%Now get the eigenvectors and we're done

%***[E,D]=eig (C);

%***[D,i]=sort(diag(D)');
%***D=fliplr(D);
%***V=fliplr(V(:,i));

% ATTENTION !!! TO BE DELETED LATER
% added to run the program in the background 
% the results will be saved in the file 'matlab.mat'
% and then 'quit' will terminate matlab's process.

save
%quit

%Phase 1 Complete

phase1a.m

% calculate average image of all tiffs in current directory
% place average in v vector
% place vectors of remaining tiffs in A matrix
%

! /bin/ls -1 *.tiff  >directory.txt

fid= fopen('directory.txt');
counter=1;
  s=fgetl(fid)
  [t,map]=tiffread(s);
  v= mtv (t);

%initializing A matrix to store picture vectors

  A=v; 

while (~feof(fid))
 
 s=fgetl(fid)
  if (s==-1) break;
   else  
  [t,map]=tiffread(s);
% storing new tiff vector in A
  A=[A;mtv(t)];
	
counter=counter+1 

end
end
fclose(fid);
%averaging thing
v=((sum(A))/counter);
avgimg=vtm(v);
%Make A a list of the distances of the vectors of the average
 for i=1:counter
   A(i,:)=A(i,:)-v;
  end

%Now to create C=A'A
C=A*A';
%Now get the eigenvectors and we're done

[E,D]=eig (C);

[D,i]=sort(diag(D)');
D=fliplr(D);
E=fliplr(E(:,i));
eigenfaces=E*A;




% ATTENTION !!! TO BE DELETED LATER
% added to run the program in the background 
% the results will be saved in the file 'matlab.mat'
% and then 'quit' will terminate matlab's process.

save
%quit

%Phase 1 Complete

vtm.m

% vector to matrix conversion
% The vector is supposed to be a linearized 512*352 (rows*cols) matrix
% SIZE IS HARDCODED!
function [matrix]= vtm(vector)
  % wv= size(vector,2);
  w=352;
  h=512;
  for ii= 1:h
    matrix(ii, :)=vector((ii-1)*w+1:ii*w);
  end

wti.m

% wti - weights to image
% calcs an image (matrix) out of weight coords; using nefaces & v.
% weight has size 8:1
% global nefaces v
function [oi]=wti(wm)	% outimage, weightmatrix
  global nefaces
  global v
  global map
    ov=wm'*nefaces;
    ov=ov+v;
    oi=vtm(ov);
    image(oi)
    colormap(map)
  end

zoom.m

cenrad;
d=0
num= zeros(1,3);
for i=1:3
 num(i)=norm(new_weights-cen(:,i))
end
 [num, idx]= sort(num);
  i= idx(1);
  if (i==1) 
       d='amir'
    end;
  if (i==2) 
       d='menashe'
    end;
  if (i==3) 
       d='yaakov'
  end;
if d==0 d='no one'
end;
 

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