Example of interpolating images using a 1st order Taylor polynomial

Using the images in images and functions

% Center image
I0 = ppmunpack(readppm('bus/bus-0000000118.pgm'))'/255;
imshow(I0);

% Numerically compute central difference approximation based on I(t-1)
% and I(t+1) 
I1 = ppmunpack(readppm('bus/bus-0000000117.pgm'))'/255;
I2 = ppmunpack(readppm('bus/bus-0000000119.pgm'))'/255;
dI = I2-I1;

% Render 11 images around I(t) using Taylor approximation
for t = -1:.2:1
  Ic = I0 + t*dI;
  imshow(Ic)
  drawnow;
end

To think about: How do you form a B-matrix from the above of the form used in the rest of the lab? You can also try your sinus wave interpolation from Exc 1 to make the bus go back and forth with smooth physically plausible accelerations.