Fourier transform has an important role in most image processing applications where an image is represented in the frequency domain. Rapid evolution of digital images has motivated a growing demand for new and effective techniques that would enhance the security of their storage and transmission. One of the very important mechanisms for preventing unauthorized network access in a computer network system is the authentication process. In this chapter, a new method for the Fourier coefficients estimation is proposed, and used for image identification. It is a new viewpoint to Fourier analysis in fractal space. The estimated Fourier coefficient is defined on a fractal subset in [0,1]m. The proposed method achieves significant improvement in accuracy and reduction of the space complexity.
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