14–20 Jul 2019
International Conference Hall, Dubna, Russia
Europe/Moscow timezone

B-splines and Bernstein basis polynomials

15 Jul 2019, 16:30
30m
International Conference Hall, Dubna, Russia

International Conference Hall, Dubna, Russia

Stroiteley 2, Dubna, Russia

Speaker

Prof. Sergey Ershov (JINR)

Description

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.

Primary author

Prof. Sergey Ershov (JINR)

Presentation materials