Splines on (\(\mathbb R\)) are functions which are piecewise polynomials.We will not discuss general splines, but only some special splines, called B-splines. These splines have attractive features: for example, they have compact support and are given by explicit and quite simple formulas, in the time domain as well as in the frequency domain. For these (and other) reasons, B-splines play an important role in applied mathematics, geometric modelling, and many other areas. The theoretical properties of B-splines and the broad range of applications make them natural to include here.
KeywordsInduction Hypothesis Compact Support Theoretical Property Multiresolution Analysis Haar Wavelet
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