Problem$-1\mathrm{.}10($Text Problem $1\mathrm{.}46-$ modified$)$

In this problem use the stairs.png image available in the "Homework$-1"$ assignment.

$($a$)$ Load the stairs image using the imread function and display it using the imshow function.

stairs $=$ imread$(\text{'}$stairs$.$png$\text{'})$;

imshow$($stairs$)$;$\%$ Enter your script here.

$($b$)$ Consider the impulse response $($known as a Sobel filter$)$ given below

in which the term is in the center and where $()$ denotes row $($column$)$ index. Use the filter$2$ function to process the stairs image using the above impulse response and display the resulting image.

sobel$\_$filter $=[10-1$; $20-2$; $10-1]$; $\%$ Define the Sobel filter

filtered$\_$image $=$ filter$2($sobel$\_$filter, stairs$)$; $\%$ Apply the filter to the image

imshow$($filtered$\_$image, $[])$; $\%$ Display the filtered image$\%$ Enter your script here.

Comment on the result. $($Study Tutorial Problem~$15.)$

Comment:

$($c$)$ Repeat part $($b$)$ using the impulse response

new$\_$filter $=[...]$; $\%$ Define the new filter

filtered$\_$image $==$ filter$2($new$\_$filter, stairs$)$; $\%$ Apply the filter to the image

imshow$($filtered$\_$image, $[])$; $\%$ Display the filtered image$\%$ Enter your script here.

Comment on the result.

Comment: