3.3. Exercises

\(\DeclareMathOperator{\ssd}{ssd}\) \(\DeclareMathOperator{\nssd}{nssd}\) \(\DeclareMathOperator{\ncc}{ncc}\) \(\newcommand{\one}{\mathbb{I}}\) \(\DeclareMathOperator{\nom}{nom}\) \(\DeclareMathOperator{\den}{den}\) \(\newcommand{\wh}[1]{\widehat #1}\)

1. (M)SSD tracking. Implement the MSSD (SSD) tracking using a scipy.ndimage generic filter. I.e. implement (3.1) and motion-ssd_argmin.

2. N(M)SSD tracking. Prove that

   \[\frac{1}{M}\sum_{\v y\in\set M} \wh m^2(\v y) = 1\]

   and

   \[\frac{1}{M}\sum_{\v y\in\set M} \wh f^2(\v x, \v y) = 1\]