Given the grayscale image, I, below, if the top left location in our image is $($x $=1,$ y $=1),$ what

would be value of a pixel at location x $=2\mathrm{.}7,$ y $=3\mathrm{.}1,$ if we were to:

$($a$)$ Use the nearest neighbor in I. $(10$pts$)$

$($b$)$ Perform bi$-$linear interpolation using I. Show your supporting work. Leave your value as

a floating$-$point value. $(20$pts$)$

I $=$

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$23451$

$10221$

$43512$

$44446$

$45202$

$23303$

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