Rational cubic spirals

Authors

  • Ayesha Shakeel Department of Mathematics, University of the Punjab, Lahore, Pakistan.
  • Maria Hussain Lahore College for Women University, Lahore, Pakistan.
  • Malik Zawwar Hussain Department of Mathematics, University of the Punjab, Lahore, Pakistan.

Keywords:

Rational cubic parametric curve, monotone curvature, generalized Cornu spiral, free parameters, curvature-preservation

Abstract

A parametric rational cubic approximation scheme is presented to preserve the monotone curvature profile of the given curve. The rational cubic curve has four control points and two free parameters. Values of control points are attained by C1C1 -approximation. Simple sufficient data dependent constraints are obtained on the free parameters to preserve the monotonicity of curvature of given curve. Devised curvature-preserving approximation scheme is simple and robust.

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Published

2016-12-31

Issue

Vol. 12 No. 1 (2016): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

Rational cubic spirals. (2016). Journal of Prime Research in Mathematics, 12(1), 145 – 157. https://jprm.sms.edu.pk/index.php/jprm/article/view/126