Abstract
In this paper, curve length and curvature matching approximation will be considered. Our approach is based on univariate lacunary quartic C2-spline interpolants introduced in [2, 3]. It turns out that the error, in the uniform norm, will be of O(hl-1) and O(hl-2), l = 3, 5; for curve length and curvature, respectively if f ∈ Cl[0, 1]. Moreover, numerical test examples will also be presented to illustrate the predicated error behaviour.
Original language | English |
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Pages (from-to) | 775-781 |
Number of pages | 7 |
Journal | Journal of Information and Computational Science |
Volume | 2 |
Issue number | 4 |
Publication status | Published - Dec 1 2005 |
Keywords
- Lacunary quartic spline
- Shape preservation
- Spline interpolation
ASJC Scopus subject areas
- Information Systems
- Computer Graphics and Computer-Aided Design
- Computational Theory and Mathematics
- Library and Information Sciences