Curve fitting through fonts

Hi,

I am trying to fit a curve through several fonts. I am doing this to generate a reference trajectory for a control system. The target is that a text is entered in Matlab and a path will come out of it. For this i want to use a windows font and try to fit a curve through this with image processing. (Other ideas are welcome aswell off course!) I have tried this on 2 different ways: - using imbinarize and bwmorph (method is 'thin') and finding the indices which are 1 or 0 and using this as samples. This gives the following result:

However, how good the quality of the image is, this is always pixelated. I tried using interp1 function with method pchip and spline, but with these methods the image does not look like the letter D anymore. Also using the "smooth" function with a moving average filter does not give good quality images. Code snippet of this script:

   BW = imbinarize(I,'adaptive','Sensitivity',0.7);
   BW = imcomplement(BW)
   skele = bwmorph(bwmorph(BW,'thin',Inf),'clean');
   [row,col] = find(skele);

-houghlines: I am still experimenting with this way, but I do not think this will be the solution. This gives the following result:

The houghlines code i am using:

    [H,T,R] = hough(BW);
    imshow(H,[],'XData',T,'YData',R,...
            'InitialMagnification','fit');
    xlabel('\theta'), ylabel('\rho');
    axis on, axis normal, hold on;

    P  = houghpeaks(H,5,'threshold',ceil(0.3*max(H(:))));
    x = T(P(:,2)); y = R(P(:,1));
    plot(x,y,'s','color','white');

    lines = houghlines(BW,T,R,P,'FillGap',3,'MinLength',50);  end