Question $4$ Patch Matching. $(16$ pts total$)$

We have discussed different scoring functions for measuring how well two patches of pixels

match each other. Three of these functions were sum of squared differences $($SSD$),$

correlation, and normalized correlation. Let two intensity patches $f$ and $g$ be:

$f=([1,0,2],[1,0,2],[1,0,2]),g=([3,0,0],[3,0,0],[3,0,0])$

A$.(5$pts$)$ Compute the raw correlation score $C_{fg}$ between patches f and g $.$ Enter answer

rounded to two decimal places.

B$.(5$ pts$)$ Compute the SSD score between patches f and g $.$ Enter answer rounded to two

decimal places.

C$.(5$ pts$)$ Compute NCC$,$ the normalized cross correlation score between patches $f$ and g $.$

Enter answer rounded to two decimal places.

D$.(1$ pts$)$ Is f a separable filter? $($i$.$e$.$ can we write $f=$ imfilter$($r$,$ c $,$'conv','full'$)$ for a suitable

choice of row filter $r$ and column filter c $).$ Choose the correct answer.