Abstract
A spline is a piecewise polynomial2 whose pieces meet with continuity as high as possible given the degree. The abscissa values at which consecutive pieces meet are called the knots. A B-spline is a spline expressed with respect to a particular basis, in which the basis functions are each non-zero over as small a number of consecutive pieces as possible, given the degree and the continuity, and the basis functions sum to unity.
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-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Sabin, M. (2010). B-Splines. In: Analysis and Design of Univariate Subdivision Schemes. Geometry and Computing, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13648-1_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-13648-1_3
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13647-4
Online ISBN: 978-3-642-13648-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)