Sixième: Properties and Applications of the 2D Fourier Transform

Good morning/afternoon/evening!! Today’s blog is still about Fourier transform (or FT – I shall use this notation for the rest of my blog!); and the introductory theorems as well as some basic exercises and examples can be found in my previous blog. That being said, I will explain things on the assumption that the reader…

Cinquième: Fourier Transform Model of Image Formation

Essentially, the Fourier transform of a function x(t) in time domain gives us the function X(f) in the frequency domain. Thus, applying this to a time signal allows us to obtain the frequencies comprising it. In the context of image formation, we use the Fourier transform to decompose the image to its sinusoidal components, allowing…