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

4 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

Computer Science(all)
Electrical and Electronic Engineering

Access to Document

10.11591/ijece.v10i2.pp1648-1654

Cite this

@article{9d67949678e6473999e6edaa5cbacc0e,

title = "Approximating offset curves using B{\'e}zier curves with high accuracy",

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.",

keywords = "Approximation order, B{\'e}zier curves, Circular arc, Cubic approximation",

author = "Abedallah Rababah and Moath Jaradat",

note = "Funding Information: The authors owe thanks for the reviewers for invaluable suggestions to improve an earlier version of this paper. This research was funded by Jordan University of Science and Technology. Publisher Copyright: Copyright {\textcopyright} 2020 Institute of Advanced Engineering and Science. All rights reserved.",

year = "2020",

doi = "10.11591/ijece.v10i2.pp1648-1654",

language = "English",

volume = "10",

pages = "1648--1654",

journal = "International Journal of Electrical and Computer Engineering",

issn = "2088-8708",

publisher = "Institute of Advanced Engineering and Science (IAES)",

number = "2",

}

TY - JOUR

T1 - Approximating offset curves using Bézier curves with high accuracy

AU - Rababah, Abedallah

AU - Jaradat, Moath

N1 - Funding Information: The authors owe thanks for the reviewers for invaluable suggestions to improve an earlier version of this paper. This research was funded by Jordan University of Science and Technology. Publisher Copyright: Copyright © 2020 Institute of Advanced Engineering and Science. All rights reserved.

PY - 2020

Y1 - 2020

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=85083106320&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85083106320&partnerID=8YFLogxK

U2 - 10.11591/ijece.v10i2.pp1648-1654

DO - 10.11591/ijece.v10i2.pp1648-1654

M3 - Article

AN - SCOPUS:85083106320

SN - 2088-8708

VL - 10

SP - 1648

EP - 1654

JO - International Journal of Electrical and Computer Engineering

JF - International Journal of Electrical and Computer Engineering

IS - 2

ER -

Approximating offset curves using Bézier curves with high accuracy

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this