Fourier transform common names fourier transform spectral analysis frequency analysis brief description the fourier transform is an important image processing tool which is used to decompose an image into its sine and cosine components. The inverse fourier transform of an image is calculated by taking the inverse fft of each row followed by the inverse fft of each column or vice versa figure 24 9 shows an example fourier transform of an image figure a is the original image a microscopic view of the input stage of a 741 op amp integrated circuit. The fourier transform of an image breaks down the image function the undulating landscape into a sum of constituent sine waves just as for a sound wave the fourier transform is plotted against frequency but unlike that situation the frequency space has two dimensions for the frequencies h and k of the waves in the x and y dimensions so . Fourier image analysis therefore many ideas can be borrowed zwicker and fastl 1999 kailath et al 2000 and gray and davisson 2003 similar to fourier data or signal analysis the fourier transform is an important image processing tool which is used to decompose an image into its sine and cosine components
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