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The Representation of Circular Arc by Using Rational Cubic Timmer Curve

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  • Muhammad Abbas
  • Norhidayah Ramli
  • Ahmad Abd. Majid
  • Jamaludin Md. Ali

Abstract

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 and , 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.

Suggested Citation

  • Muhammad Abbas & Norhidayah Ramli & Ahmad Abd. Majid & Jamaludin Md. Ali, 2014. "The Representation of Circular Arc by Using Rational Cubic Timmer Curve," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-6, January.
    • Handle: RePEc:hin:jnlmpe:408492
    DOI: 10.1155/2014/408492
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