Shape preserving quartic C2-spline interpolation with constrained curve length and curvature

S. Sallam; M. Naim Anwar

Shape preserving quartic C²-spline interpolation with constrained curve length and curvature

S. Sallam, M. Naim Anwar

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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(h^l-1) and O(h^l-2), l = 3, 5; for curve length and curvature, respectively if f ∈ C^l[0, 1]. Moreover, numerical test examples will also be presented to illustrate the predicated error behaviour.

Original language	English
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

Cite this

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N2 - 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.

AB - 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.

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KW - Spline interpolation

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Shape preserving quartic C²-spline interpolation with constrained curve length and curvature

Abstract

Keywords

ASJC Scopus subject areas

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