Fourier analysis

Definition: Mathematical technique for analysing the components of a complex wave-form into a sum of sine and cosine waves. * The superposition of periodic functions or a Fourier series to provide an equivalent to a given complex wave. * Used in analysis of image quality and as model for optical phenomena e.g. holography.
Waving good-bye to Fourier
Inadequacies of this analysis, which do not sufficiently reflect the complexities of natural waves and data, have led to the development of the concept of wavelets. The flexibility of the wavelet concept has in turn opened the door to new techniques for compressing images, reflected in JPEG and other compression technologies struggling for a foothold.

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