Question $5.$ Patch Matching. $(20$ points$)$ 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 cross correlation $($NCC$).$ Let two intensity patches be:

$900$

$099$

f$=$

$900$

g$=$

$09$

$9$

$99$

$9$

$000$

A$.(4$ pts$)$ Compute the correlation score between patches f and g$.$

B$.(4$ pts$)$ Compute the SSD score between patches f and g$.$

C$.(8$ pts$)$ Compute the normalized correlation $($NCC$)$ score between patches f and g$.$ Recall that NCC is$,$ in general, a floating point number. Enter value rounded off to $2$ decimal places

D$.(2$ pts$)$ Considered as a template to compare against patches in an image, f is suitable for finding EDGES or CORNERS $($choose the correct one$).$

E$.(2$ pts$)$ Is f a separable filter? That is$,$ can it be generated as the convolution of a row vector with a column vector? $($YES or NO$).$