SHAINI, Bilall and REXHEPI, Shpëtim and RUFATI, Eip
(2022)
*SPECIFIC NUMERICAL PROPERTIES OF B-SPLINE IN FUNCTION APPROXIMATIONS.*
Journal of Natural Sciences and Mathematics of UT, 7 (13-14).
pp. 98-107.
ISSN 2671-3039

Text
JNSM 13-14 e formatuar-98-107.pdf - Published Version Download (699kB) |

## Abstract

B-splines are a class of functions with interesting and numerically useful properties. Spline functions are piecewise polynomials connected by the distribution on the segment in nodes. B-spline is a combination of curves that pass through a certain number of points (control points) and form smooth curves. In this paper, we will consider B-splines as special partially nonnegative polynomials that disappear everywhere except in at several adjacent intervals. From a numerical point of view, it is important to define B-splines through divided differences, with the possibility of computing higher-order B-spline recursively. B-spline approximations will be considered taking into account only the local behavior of the primitive function. We will use a numerically stable algorithm to efficiently calculate the estimate of the B-spline function. Some specific applications of B-spline calculated using the Mathematica program package and geometric interpretation of results are given.

Item Type: | Article |
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Uncontrolled Keywords: | B-spline properties, Approximations via B-spline, Invers function formula, B-spline estimate, B-spline curve |

Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |

Depositing User: | Unnamed user with email zshi@unite.edu.mk |

Date Deposited: | 31 Oct 2022 12:44 |

Last Modified: | 03 Oct 2023 09:58 |

URI: | http://eprints.unite.edu.mk/id/eprint/1064 |

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