In this chapter, we briefly recall the concept of multiscale approximations of functions by means of wavelet expansions. We present a short overview on the basic construction principles and discuss the most important properties of wavelets such as characterizations of function spaces.Moreover, we explain how wavelets can be used in signal/image analysis, particularly for compression and denoising.
CITATION STYLE
Dahlke, S. (2015). Multiscale approximation. In Handbook of Geomathematics: Second Edition (pp. 2747–2772). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-54551-1_41
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