Skip to Main content Skip to Navigation
Journal articles

Algebraic-trigonometric Pythagorean-hodograph curves and their use for Hermite interpolation

Abstract : In this article we define a new class of Pythagorean-Hodograph curves built-upon a six-dimensional mixed algebraic-trigonometric space, we show their fundamental properties and compare them with their well-known quintic polynomial counterpart. A complex representation for these curves is introduced and constructive approaches are provided to solve different application problems, such as interpolating C 1 Hermite data and constructing spirals as G 2 transition elements between a line segment and a circle, as well as between a pair of external circles.
Document type :
Journal articles
Complete list of metadata

https://hal-uphf.archives-ouvertes.fr/hal-03151851
Contributor : Aurélien Vicentini Connect in order to contact the contributor
Submitted on : Thursday, February 25, 2021 - 9:53:46 AM
Last modification on : Tuesday, October 19, 2021 - 6:38:17 PM

Links full text

Identifiers

Collections

Citation

Lucia Romani, Laura Saini, Gudrun Albrecht. Algebraic-trigonometric Pythagorean-hodograph curves and their use for Hermite interpolation. Advances in Computational Mathematics, Springer Verlag, 2014, 40 (5-6), pp.977-1010. ⟨10.1007/s10444-013-9338-8⟩. ⟨hal-03151851⟩

Share

Metrics

Record views

29