Interpolating sequences of 3D-data with C^2 quintic PH B-spline curves
Title | Interpolating sequences of 3D-data with C^2 quintic PH B-spline curves |
Publication Type | Journal Article |
Year of Publication | 2022 |
Authors | Albrecht, G, Beccari, CV, Romani, L |
Journal | Dolomites Research Notes on Approximation |
Volume | 15 |
Issue | 3 |
Pagination | 1-11 |
Date Published | 10/2022 |
Publisher | Padova University Press |
Place Published | Padova, IT |
ISSN Number | 2035-6803 |
Abstract | The goal of this paper is to present an effective method for interpolating sequences of 3D-data by means of C^2 quintic Pythagorean-Hodograph (PH) B-spline curves. The strategy we propose works successfully with both open and closed sequences of 3D-points. It relies on calculations that are mostly explicit thanks to the fact that the interpolation conditions can explicitly be solved in dependence of the coefficients of the pre-image PH B-spline curve. In order to select a more suitable interpolant a functional is minimized in two remaining free coefficients of the pre-image PH B-spline curve and some angular parameters. |
URL | https://drna.padovauniversitypress.it/2022/3/2 |
DOI | 10.14658/pupj-drna-2022-3-2 |