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 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

@article{10f174c3246946c79f54d2d4ac1af2c7,

title = "Shape preserving quartic C2-spline interpolation with constrained curve length and curvature",

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.",

keywords = "Lacunary quartic spline, Shape preservation, Spline interpolation",

author = "S. Sallam and Anwar, \{M. Naim\}",

year = "2005",

month = dec,

language = "English",

volume = "2",

pages = "775--781",

journal = "Journal of Information and Computational Science",

issn = "1548-7741",

publisher = "Binary Information Press",

number = "4",

}

TY - JOUR

T1 - Shape preserving quartic C2-spline interpolation with constrained curve length and curvature

AU - Sallam, S.

AU - Anwar, M. Naim

PY - 2005/12

Y1 - 2005/12

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.

KW - Lacunary quartic spline

KW - Shape preservation

KW - Spline interpolation

UR - https://www.scopus.com/pages/publications/33645032691

UR - https://www.scopus.com/pages/publications/33645032691#tab=citedBy

M3 - Article

AN - SCOPUS:33645032691

SN - 1548-7741

VL - 2

SP - 775

EP - 781

JO - Journal of Information and Computational Science

JF - Journal of Information and Computational Science

IS - 4

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this