i. Perform Low Pass Filtering

ii. Perform Median Filtering

iii. Find High Pass Filtered Output

iv. Compare results of (i) and (ii)

Given image $f(x,y)$ is,

Zero padding the original image $f(x,y)$

i. Low Pass Filtering:

Low Pass filter mask given as,

for low pass filter,

This is the Low pass filtering result.

ii. Median Filtering:

Step 1: Arrange the original image pixel values in ascending order,

[ 0 3 4 4 5 5 7 7 120 ]

Step 2: Find the Median value

[ 0 3 4 4 $\underline{5}$ 5 7 7 120 ]

Median Value = 5

Step 3: Place the median value in center of original image,

iii. High Pass Filtering:

We know,

Original – LPF Image = HPF Image

Negative Pixel value means it is null pixel i.e. value of pixel is zero, therefore

Comparing result of (i) and (ii): by comparing (i) and (ii), the value of pixel has huge difference result of (i) has high pixel value as compare to the result of (ii), result of (i) is brighter than the result of (ii).