B-splajn i interpolacija

Šućur, Marija (2014) B-splajn i interpolacija. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

The main goal of this thesis is to define B-spline and clarify its properties. It begins by defining the divided differences and mentioning their basic properties which will help to define B-spline and prove its properties. Then, it is shown how to easily calculate the B-spline and why is the choice of B-spline the most appropriate for function interpolation. In the fourth chapter was mentioned collocation matrix of B-splines that has very interesting properties. It is regular, total positive and banded. It was also shown that by good choice of points (Greville’s point) we can reduce the error of interpolation so that, at the end, we get almost the best possible approximation of functions from the spline space.

Item Type: Thesis (Diploma thesis)
Supervisor: Bosner, Tina
Date: 2014
Number of Pages: 35
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 13 Jul 2015 12:00
Last Modified: 13 Jul 2015 12:00
URI: http://digre.pmf.unizg.hr/id/eprint/4118

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