In the Fourier space, this can be written as
where G, H, F, and N are the Fourier transforms of g (resulting blurry image), h (spatial degradation function), f (original image) , and n (noise), respectively. H is also given as
The original image and the resulting blurry image are shown below. Note that for this blurry image, I used a = b =0.1and T =1.
To restore the image, we use the Weiner filter given below:
with
or
where K is a specified constant.
For this activity, I used both equations. For the first equation, the result is shown below. Notice that improved image was obtained.
For the second equation (with different K values), the results are shown below:
Notice that for this particular image, the minimal blur was obtained with K = 0.001, 0.005, 0.01, and 0.05. For higher K values, the blur is clearly seen.
For this activity, I give myself a 10/10 for meeting the primary objectives of the activity. Thank you to Gilbert for the insights. ^__^
