Q$2$ The following figures show $($a$)$ an object in a binary image, $($b$)$ a binary structuring element with specified origin point.

$($a$)$ Give the definition of binary opening operation.

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$($b$)$ Give the definition of binary closing operation.

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$($c$)$ Draw the output image of object Figure Q$2\mathrm{.}1$ eroded by structuring element Figure Q$2\mathrm{.}2.$

$[6]$

$($d$)$ Draw the output image of object Figure Q$2\mathrm{.}1$ opened by structuring element Figure Q$2\mathrm{.}2.$

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