Playing with Phase and Magnitude

 

In this series dedicated to the Fourier Transform, it is important to understand the role played by magnitude (or amplitude) and phase in an image...

Fourier: Convolution and Deconvolution

Convolution is not an operation only specific of real space filters. You can use it in frequency space. Its counterpart - the deconvolution - is also very popular to enhance images.

Fourier Series: Several functions

Second post dedicated to the Fourier series [Link] with several examples of classical periodic functions.

Fourier Series

Understanding the Fourier Transform is not trivial. Here is a simpler approach (only for periodic signals) from the same author termed the Fourier Series.
Joseph Fourier [Wikipedia] demonstrated that any periodic function could be decomposed in a series of sine and cosine functions.