$1-$ a$)$ Given the following two consecutive gray$-$scale images:

which is the previous image$-$frame and the current frame is given by

a$)$ Determine the motion vector of the $2$ by $2$ block with pixels values around $10$

using cross$-$correlation method. Hint: You simply apply a cross$-$correlation filter

with values $1010$;$10,10$ on both images.

b$)$ Determine the motion vector using the Lucas$-$Kanade method.