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Rational cubic spirals

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Title: Rational cubic spirals

Authors: Ayesha Shakeel, Maria Hussain, Malik Zawwar Hussain

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: 2016

Volume: 1

Issue: 1

Language: English

Keywords: rational cubic spirals

Categories
Geometry (91) Computer Aided Design (7) Rational Curves (1) Computer Graphics (114) Mathematics (5170)

Abstract

A parametric rational cubic approximation scheme is presented to preserve the monotone curvature profile of the given curve. The rational cubic curve has four control points and two free parameters. Values of control points are attained by \(C^1\) -approximation. Simple sufficient data dependent constraints are obtained on the free parameters to preserve the monotonicity of curvature of given curve. Devised curvature-preserving approximation scheme is simple and robust.

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