• if we shift an image, the output is also shifted equivalently shifted
  • our visual systems are this

to prove

  • for a system fg, where g=(f*h), and we need to prove g’=(f’*h)
    • express g’ in terms of f and h, with def of convolution (left side of statement to prove)
    • express (f' * h) with def of convolution (right side of statement to prove)
    • show equal