Year: 2020
Author: Leonardo Fernández-Jambrina, Francisco Pérez-Arribas
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 5 : pp. 715–731
Abstract
In this paper we construct developable surface patches which are bounded by two rational or NURBS curves, though the resulting patch is not a rational or NURBS surface in general. This is accomplished by reparameterizing one of the boundary curves. The reparameterization function is the solution of an algebraic equation. For the relevant case of cubic or cubic spline curves, this equation is quartic at most, quadratic if the curves are Bézier or splines and lie on parallel planes, and hence it may be solved either by standard analytical or numerical methods.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1904-m2018-0209
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 5 : pp. 715–731
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: NURBS Bézier Rational spline Developable surfaces.
Author Details
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Modeling Developable Surfaces using Quintic Bézier and Hermite Curves
., Kusno
International Journal of Mathematical, Engineering and Management Sciences, Vol. 8 (2023), Iss. 5 P.927
https://doi.org/10.33889/IJMEMS.2023.8.5.053 [Citations: 0]