Where do wavelets come from? - A personal point of view

The subject area of wavelets is connected to older ideas in many other fields, including pure and applied mathematics, physics, computer science and engineering. The rapid development of wavelet tools led to the application of wavelets as a standard part of mathematical tool kits. Developed wavelet tools also complemented more established mathematical techniques. A wavelet transform was developed from spline functions of harmonic analysis used in the quantum field theory, wavelet decomposition for multiresolution using recursive filtering algorithms and Fourier transform with transform functions generated from a Gaussian window Dyadic regroupings.