Abstract
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Christensen, O. (2010). B-splines. In: Functions, Spaces, and Expansions. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4980-7_10
Download citation
DOI: https://doi.org/10.1007/978-0-8176-4980-7_10
Published:
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4979-1
Online ISBN: 978-0-8176-4980-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)