This question is about linear filtering concepts using the built in filtering functions (it is not about edge detection methods). Load an MRI image 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.