Approximating offset curves using Bézier curves with high accuracy

Abedallah Rababah; Moath Jaradat

doi:10.11591/ijece.v10i2.pp1648-1654

Approximating offset curves using Bézier curves with high accuracy

Abedallah Rababah
, Moath Jaradat

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

In this paper, a new method for the approximation of offset curves is presented using the idea of the parallel derivative curves. The best uniform approximation of degree 3 with order 6 is used to construct a method to find the approximation of the offset curves for Bézier curves. The proposed method is based on the best uniform approximation, and therefore; the proposed method for constructing the offset curves induces better outcomes than the existing methods.

Original language	English
Pages (from-to)	1648-1654
Number of pages	7
Journal	International Journal of Electrical and Computer Engineering
Volume	10
Issue number	2
DOIs	https://doi.org/10.11591/ijece.v10i2.pp1648-1654
Publication status	Published - 2020

Keywords

Approximation order
Bézier curves
Circular arc
Cubic approximation

ASJC Scopus subject areas

General Computer Science
Electrical and Electronic Engineering

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10.11591/ijece.v10i2.pp1648-1654

Cite this

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abstract = "In this paper, a new method for the approximation of offset curves is presented using the idea of the parallel derivative curves. The best uniform approximation of degree 3 with order 6 is used to construct a method to find the approximation of the offset curves for B{\'e}zier curves. The proposed method is based on the best uniform approximation, and therefore; the proposed method for constructing the offset curves induces better outcomes than the existing methods.",

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AU - Jaradat, Moath

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AB - In this paper, a new method for the approximation of offset curves is presented using the idea of the parallel derivative curves. The best uniform approximation of degree 3 with order 6 is used to construct a method to find the approximation of the offset curves for Bézier curves. The proposed method is based on the best uniform approximation, and therefore; the proposed method for constructing the offset curves induces better outcomes than the existing methods.

KW - Approximation order

KW - Bézier curves

KW - Circular arc

KW - Cubic approximation

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Approximating offset curves using Bézier curves with high accuracy

Abstract

Keywords

ASJC Scopus subject areas

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