The Representation of Circular Arc by Using Rational Cubic Timmer Curve | Zendy

Muhammad Abbas | Zendy; Norhidayah Ramli | Zendy; Ahmad Abd. Majid | Zendy; Jamaludin Md. Ali | Zendy

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The Representation of Circular Arc by Using Rational Cubic Timmer Curve

Author(s) -

Muhammad Abbas,

Norhidayah Ramli,

Ahmad Abd. Majid,

Jamaludin Md. Ali

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/408492

Subject(s) - arc (geometry) , ball (mathematics) , representation (politics) , algorithm , bézier curve , computer science , geometry , mathematics , politics , political science , law

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

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