ScholarLens Back to search
2019•Journal of Taibah University for ScienceOpen access

Defining a curve as a Bezier curve

Şenay Baydaş, Bülent Karakaş

Open full text 76 citations

Abstract

A Bezier curve is significant with its control points. When control points are given, the Bezier curve can be written using De Casteljau's algorithm. An important property of Bezier curve is that every coordinate function is a polynomial. Suppose that a curve α(t) is a curve which coordinate functions are polynomial. Can we find points that make the curve α(t) as Bezier curve? This article presents a method for finding points which present α(t) as a Bezier curve.

About this research paper

What this paper is about

A Bezier curve is significant with its control points. When control points are given, the Bezier curve can be written using De Casteljau's algorithm. An important property of Bezier curve is that every coordinate function is a polynomial. Suppose that a curve α(t) is a curve which coordinate functions are polynomial. Can we find points that make the curve α(t) as Bezier curve? This article presents a method for finding points which present α(t) as a Bezier curve.

Why it matters

OpenAlex reports 76 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

A Bezier curve is significant with its control points. When control points are given, the Bezier curve can be written using De Casteljau's algorithm. An important property of Bezier curve is that every coordinate function is a polynomial. Suppose that a curve α(t) is a curve which coordinate functions are polynomial. Can we find points that make the curve α(t) as Bezier curve? This article presents a method for finding points which present α(t) as a Bezier curve.

Key concepts: Bézier curve, Tripling-oriented Doche–Icart–Kohel curve, Mathematics, Curve fitting, Hessian form of an elliptic curve, Function (biology), Stable curve, Jacobian curve

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Defining a curve as a Bezier curve — Research Paper | ScholarLens