The Modification of Simple Images by Fourier Transform Manipulation

Knowledge of how an image is changed by a given modification of its Fourier transform is important when attempting to find solutions to problems in image processing. Several types of filters were used to modify the Fourier transforms of an edge and a bartarget. The images were reconstructed from the modified transforms to determine the change produced by a given modification. Various regions of the Fourier transform determine specific characteristics of the image. The amplitude of the low frequencies controls the form and average level of the image, while the amplitude of the high frequencies effects sharp transitions and noise