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Indexed by:期刊论文

Date of Publication:2022-06-30

Journal:计算机辅助设计与图形学学报

Affiliation of Author(s):运载工程与力学学部

Issue:5

Page Number:589-594

ISSN No.:1003-9775

Abstract:For representing elements of the linear spaces spanned respectively by the functions {1, x, x2, x3}, {1, x, esx, e-sx} and {1, x, eisx, e-isx}, the paper presents a C1non-stationary Hermite-interpolatory subdivision scheme which provides users with a tension parameter that, through proper adjustment within its range of definition can reproduce cubic polynomials, trigonometric functions and hyperbolic functions. Moreover, for certain given parameters, all conic sections can be reproduced exactly by this scheme. The convergence analysis of the subdivision method is given as well. Finally, we illustrate the effects of using the tension parameter and tangent vectors to generate subdivision curves.

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