We solve the problem of G2∕C1 Hermite interpolation (i.e. interpolation of prescribed boundary points as well as first derivatives and curvatures at these points) by planar quintic Pythagorean Hodograph B-spline curves with one free interior knot which acts as a shape parameter. We present conditions on the data ensuring the existence of solutions. Finally, we illustrate the influence of the interior knot on the shape of the resulting interpolant and on the values of the absolute rotation index or the bending energy.
Albrecht G., Beccari C.V., Romani L. (2021). G2∕C1 Hermite interpolation by planar PH B-spline curves with shape parameter. APPLIED MATHEMATICS LETTERS, 121, 1-8 [10.1016/j.aml.2021.107452].
G2∕C1 Hermite interpolation by planar PH B-spline curves with shape parameter
Beccari C. V.
;Romani L.
2021
Abstract
We solve the problem of G2∕C1 Hermite interpolation (i.e. interpolation of prescribed boundary points as well as first derivatives and curvatures at these points) by planar quintic Pythagorean Hodograph B-spline curves with one free interior knot which acts as a shape parameter. We present conditions on the data ensuring the existence of solutions. Finally, we illustrate the influence of the interior knot on the shape of the resulting interpolant and on the values of the absolute rotation index or the bending energy.| File | Dimensione | Formato | |
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postprint_AML2021b.pdf
Open Access dal 06/06/2023
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