B-Splines and Bernstein Basis Polynomials
Abstract
Computational methods based on a B-spline decomposition have found numerous applications in different fields of physics. The Cox-de Boor recurrence relation is a main tool for numerical calculations with B-splines. Here we derive the analytic representation of B-splines for an arbitrary knot sequence and order using decomposition on Bernstein basis polynomials. This representation allows to perform analytically many calculations with B-splines. Few examples of applications are presented.
- Publication:
-
Physics of Particles and Nuclei Letters
- Pub Date:
- December 2019
- DOI:
- 10.1134/S154747711906013X
- Bibcode:
- 2019PPNL...16..593E