The goal of this paper is to present an effective method for interpolating sequences of 3D-data by means of C2 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.

Albrecht G., Beccari C.V., Romani L. (2022). Interpolating sequences of 3D-data with C2 quintic PH B-spline curves. DOLOMITES RESEARCH NOTES ON APPROXIMATION, 15(3), 1-11 [10.14658/pupj-drna-2022-3-2].

Interpolating sequences of 3D-data with C2 quintic PH B-spline curves

Beccari C. V.;Romani L.
2022

Abstract

The goal of this paper is to present an effective method for interpolating sequences of 3D-data by means of C2 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.
2022
Albrecht G., Beccari C.V., Romani L. (2022). Interpolating sequences of 3D-data with C2 quintic PH B-spline curves. DOLOMITES RESEARCH NOTES ON APPROXIMATION, 15(3), 1-11 [10.14658/pupj-drna-2022-3-2].
Albrecht G.; Beccari C.V.; Romani L.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/899602
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