clustering using rosette sampling

Hello guys. I have written this code for clustering a sampled image using a rosette pattern, but the results are confusing. please advise. thank you all in advance. use any image of your choice

a = imread('any_image');% original image
b = im2bw(a);
p = zeros();
b = zeros();
f1 = 165;
f2 = 155;
f = gcd(f1,f2);
T = 1/f;
N1 = f1/f;
N2 = f2/f;
N = N1+N2;
for t = 0.0001:0.00005:T;%picking random samples to test the code
    tpif1 = 2*pi*f1*t;
    tpif2 = 2*pi*f2*t;

% sig is the refractive index
    sig = 1.5;
    x = sig/2*(cos(tpif1) + cos(tpif2)); % rosette pattern equations.
    y = sig/2*(sin(tpif1) - sin(tpif2));

      %imagesc([min(x) max(x)],[min(y) max(y)],b);
      if size(b,1)>size(b,2)
          L = 0.5*size(b,2);
      else
          L = 0.5*size(b,1);
      end
      X = L + L*x/sig; % mapping the rosette pattern to the image
      Y = L + L*y/sig;

      if((round(Y)>0)&&(round(X)>0))
          d(round(Y),round(X)) = b(round(Y),round(X));
      end
  % d is a sampled image
  A = pi*(f1-f2)*t; % rosette pattern angle (polar form)
  if (A>=0)
      i = (A*N/pi)+1;
  else
      i = (A*N/pi)+(2*pi)+1;%rows or no of half petals
  end

Np = 1/(2*f*N*t);%the number of samples in each half of a petal

NT = 2*N*Np;%total number of samples in all petals of the rosette pattern
 for Nj= 1:NT;%desired no of samples
    D = Nj/Np;
    if(mod(D,2)==1)
        j = Nj -(Np*D);%doesnot make sense
    else
       j = (1+D)*Np - Nj+1;% or Np + 1 but makes sense 
    end
end

j1 = round(j); % coordinates of the rosette in 2D space (rows and columns)
i1 = round(i);
%if(j1<2)
    %break;
%end
disp('j1');
disp(j1);
disp('i1')
disp(i1);
%plot(j1,i1);
 if((round(Y)>0)&&(round(X)>0))
    p(i1,j1) =  d(round(Y),round(X)); % appearance of the image in 2D space
 imshow(p);
 end
 end

[Image Analyst]

Where did you upload your image to? You forgot to tell us, so we can't run your code with your image.

[Henry Kato]

please use any image of your choice. Sorry for the mistakes, its just that i'm new to matlab central