MATLAB: Vectorizing three nested loops

Question

Dear All,

How can I vectorize the following three nested loops? I tried using arrayfun but I did not succeed in doing it.

    % Range of random number for x and y.
    L = 8;
    H = 6;
    % The number of random numbers.
    n = 100;  
    % Randomly spaced data.
    x = rand( n, 1 )*L;
    y = rand( n, 1 )*H;
    d = .01;
    [ X, Y ] = meshgrid( 0:d:L, 0:d:H );
    TOL = .01;
    I = zeros(size(X));
    for i=1:size(X,1)
        for j=1:size(X,2)
            for k=1:numel(x)
                dist = (X(i,j)-x(k))^2+(Y(i,j)-y(k))^2;
                if( dist<TOL)
                    I(i,j) = 1;
                end
            end
        end
    end

Thanks,

Ahmad

Answer 1

I2 = any((bsxfun(@minus,X,reshape(x,1,1,n)).^2 +...
        bsxfun(@minus,Y,reshape(y,1,1,n)).^2)<TOL,3) ;