The Representation of Circular Arc by Using Rational Cubic Timmer Curve
Joint Authors
Majid, Ahmad Abd.
Ali, Jamaludin Md.
Ramli, Norhidayah
Abbas, Muhammad
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-16
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
In CAD/CAM systems, rational polynomials, in particular the Bézier or NURBS forms, are useful to approximate the circular arcs.
In this paper, a new representation method by means of rational cubic Timmer (RCT) curves is proposed to effectively represent a circular arc.
The turning angle of a rational cubic Bézier and rational cubic Ball circular arcs without negative weight is still not more than 4π/3 and π, respectively.
The turning angle of proposed approach is more than Bézier and Ball circular arcs with easier calculation and determination of control points.
The proposed method also provides the easier modification in the shape of circular arc showing in several numerical examples.
American Psychological Association (APA)
Abbas, Muhammad& Ramli, Norhidayah& Majid, Ahmad Abd.& Ali, Jamaludin Md.. 2014. The Representation of Circular Arc by Using Rational Cubic Timmer Curve. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-469799
Modern Language Association (MLA)
Abbas, Muhammad…[et al.]. The Representation of Circular Arc by Using Rational Cubic Timmer Curve. Mathematical Problems in Engineering No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-469799
American Medical Association (AMA)
Abbas, Muhammad& Ramli, Norhidayah& Majid, Ahmad Abd.& Ali, Jamaludin Md.. The Representation of Circular Arc by Using Rational Cubic Timmer Curve. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-469799
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469799
