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\(C^2\) Rational quintic function

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Title: \(C^2\) Rational quintic function

Authors: Maria Hussain, Malik Zawwar Hussain, Robert J. Cripps

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2009

Volume: 1

Issue: 1

Language: English

Categories
Geometry (91) Computer Aided Design (7) Splines (7) Rational Functions (3) Mathematics (5170)

Abstract

A two-parameter family of piecewise \(C^2\) rational quintic functions is presented along with an error investigation for the approximation of an arbitrary \(C^3\) function. The two parameters have a direct geometric interpretation making their use straightforward. Illustrations of their effect on the shape of the rational function are given. The relaxed continuity constraints and the increased flexibility via the two parameters make the proposed function a suitable candidate for interactive CAD.

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