Wavelets have been found to be useful in many scientific and engineering applications, including signal processing, communication, video and image compression, medical imaging, and scientific visualization. The concept of wavelets can be viewed as a synthesis of ideas that originated during the last several decades in engineering, physics, and pure mathematics. The goal of this article is to develop a basic understanding of wavelets, their origin, and their relation to scaling functions, using the theory of multiresolution analysis.
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