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2020•AIP conference proceedingsRequires access

Curve fitting using quintic trigonometric Bézier curve

Sarah Batrisyia Zainal Adnan, Anis Aqilah Mohd Ariffin, Md Yushalify Misro

Open publisher page 8 citations

Abstract

Curve fitting is an important process. Curve fitting is the process of constructing a curve that is closest to data series. In this research, curve fitting using quintic trigonometric Bézier curve (QTBC) with two shape parameters will be applied. Shape parameters will act as shape enabler in order to make the curves more flexible. Different degrees of parametric continuity are applied accordingly to connect each segment of two-dimensional objects to produce a smooth curve fitting. The curve fitting is made easier due to the presence of two parameters, making QTBC as the suitable tool for curve fitting. To analyse the performance, it is applied to three various objects that exhibit different features.

About this research paper

What this paper is about

Curve fitting is an important process. Curve fitting is the process of constructing a curve that is closest to data series. In this research, curve fitting using quintic trigonometric Bézier curve (QTBC) with two shape parameters will be applied. Shape parameters will act as shape enabler in order to make the curves more flexible. Different degrees of parametric continuity are applied accordingly to connect each segment of two-dimensional objects to produce a smooth curve fitting. The curve fitting is made easier due to the presence of two parameters, making QTBC as the suitable tool for curve fitting. To analyse the performance, it is applied to three various objects that exhibit different features.

Why it matters

OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

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Method / approach

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Available abstract

Curve fitting is an important process. Curve fitting is the process of constructing a curve that is closest to data series. In this research, curve fitting using quintic trigonometric Bézier curve (QTBC) with two shape parameters will be applied. Shape parameters will act as shape enabler in order to make the curves more flexible. Different degrees of parametric continuity are applied accordingly to connect each segment of two-dimensional objects to produce a smooth curve fitting. The curve fitting is made easier due to the presence of two parameters, making QTBC as the suitable tool for curve fitting. To analyse the performance, it is applied to three various objects that exhibit different features.

Key concepts: Curve fitting, Bézier curve, Parametric equation, Tripling-oriented Doche–Icart–Kohel curve, Asymptote, Data point, Quintic function, Parametric statistics

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