Spline approximation with the coupling curves by the derivatives
Abstract
The article presents a technique of cubic B-spline approximation of a point-defined curves. The technique allows the coupling of splines by the first and second derivatives. This is very important in the approximation of large arrays, which often occurs in practice of numerical control (CNC). The workability of the method is illustrated by examples.
Downloads
Published
2012-06-29
Issue
Section
Applied mathematics
License
Copyright (c) 2015 Ю. А. Раисов, И. В. Бычков, Н. И. Бычков
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
All authors agree with the following conditions:
- The authors reserve the right to claim authorship of their work and transfer to the journal the right of first publication of the work under the license agreement (the agreement).
- Authors have a right to conclude independently additional agreement on non-exclusive spreading the work in the form in which it was published by the jpurnal (for example, to place the work in institution repository or to publish as a part of a monograph), providing a link to the first publication of the work in this journal.
- Journal policy allows authors to place the manuscript in the Internet (for example, in the institution repository or on a personal web sites) both before its submission to the editorial board and during its editorial processing, as this ensures the productive scientific discussion and impact positively on the efficiency and dynamics of citation of published work (see The Effect of Open Access).
