Through the Fourier analysis, the magnitude of every frequency element is determined and thus it reveals the main contributing frequencies. In addition, it indicates the phase at which the various frequency components are. The Fourier analysis has received a major application in the process of image filtering and processing in which it facilitates the identification of the main contributing frequencies in a signal (image).
This in turn facilitates the differential analysis of a signal (image), enabling the removal of unsuitable frequencies to modify the appearance of the image. Digital image filtering is synonymous with the Fourier analysis which is the main process utilized in this area of digital image processing. This study seeks to analyze the transformation of an image to the Fourier domain using the â€œFast Fourier Transform (FFT) algorithmâ€ . FFT algorithm is a fast algorithm that is utilized in the calculation of Discrete Fourier Transform (DFT). In this paper, the steps followed in designing some basic filters will be discussed. The filters such as the â€œideal low pass, high pass filters, and the Gaussian low filtersâ€ will then be applied in filtering the image used in the study .
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