This question is about linear filtering concepts using the built in filtering functions (it is not about edge detection methods). Load the MRI image of Q4 above and perform the following:

i. Apply a horizontal Sobel filter to the image and explain its effect.

ii. Apply a Vertical (transpose of above) Sobel filter to the image and explain its effect.

iii. Combine the resulting images of above 2 steps.

iv. Apply an unsharp filter to the image and explain its effect.

v. Find the frequency domain characteristics of the Unsharp and Sobel (horizontal) filters by plotting the 3-D mesh plots of their frequency responses.

Submit the Scilab code, your explanations, and the plots as answer to this question.