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📄 hough.m

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function [h,theta,rho] =  hough(f,dtheta,drho)
if nargin < 3
    drho = 1;
end
if nargin <2
    dtheta = 1;
end
f = double(f);
[M,N] = size(f);
theta = linspace(-90,0,ceil(90/dtheta)+1);
theta = [theta -fliplr(theta(2:end-1))];
ntheta = length(theta);
D = sqrt((M-1)^2+(N-1)^2);
q = ceil(D/drho);
nrho =2*q-1;
rho = linspace(-q*drho,q*drho,nrho);
[x,y,val] = find(f);
x = x-1;y = y-1;
h = zeros(nrho,length(theta));
for k = 1:ceil(length(val)/1000)
    first = (k-1)*1000+1;
    last = min(first+999,length(x));
    x_matrix     = repmat(x(first:last),1,ntheta);
    y_matrix     = repmat(y(first:last),1,ntheta);
    val_matrix   = repmat(val(first:last),1,ntheta);
    theta_matrix = repmat(theta,size(x_matrix,1),1)*pi/180;
    rho_matrix = x_matrix.*cos(theta_matrix)+y_matrix.*sin(theta_matrix);
    slope = (nrho-1)/(rho(end)-rho(1));
    rho_bin_index = round(slope*(rho_matrix-rho(1))+1);
    theta_bin_index = repmat(1:ntheta,size(x_matrix,1),1);
    h = h+full(sparse(rho_bin_index(:),theta_bin_index(:),val_matrix(:),nrho,ntheta));
end

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