Question

To set the average value of an image zero, which of the following term would be set 0 in the frequency domain and the inverse transformation is done, where F(u, v) is Fourier transformed function of f(x, y)?

(a) F(0, 0)

(b) F(0, 1)

(c) F(1, 0)

(d) None of the mentioned

I had been asked this question in semester exam.

This key question is from Filtering in Frequency Domain in portion Intensity Transformations and Spatial Filtering of Digital Image Processing

Answer 1

Right option is (a) F(0, 0)

Best explanation: For an image f(x, y), the Fourier transform at origin of an image, F(0, 0), is equal to the average value of the image.