Performing Fourier Transform on Images

Resource Overview

Apply Fourier transform to images and analyze their magnitude spectrum and phase spectrum with practical code implementation

Detailed Documentation

To better understand the frequency domain characteristics of images, Fourier transform can be applied to images. By examining both the magnitude spectrum and phase spectrum, valuable information about the image's frequency components can be obtained. The implementation typically involves using the Fast Fourier Transform (FFT) algorithm through functions like fft2() in programming languages such as MATLAB or Python's numpy.fft.fft2(). The magnitude spectrum reveals the strength of different frequency components, while the phase spectrum contains information about the spatial relationships within the image. Proper visualization often requires applying logarithmic scaling to the magnitude spectrum for better dynamic range representation.