===========
 Exercises
===========

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



#. **(M)SSD tracking.** Implement the MSSD (SSD) tracking using a
   scipy.ndimage generic filter. I.e. implement :eq:`motion-ssd`
   and :numref:`motion-ssd_argmin`.


#. **N(M)SSD tracking.** Prove that

   .. math::  
      \frac{1}{M}\sum_{\v y\in\set M} \wh m^2(\v y) = 1

   and

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