C 2 Rational quintic function

Authors

  • Maria Hussain Department of Mathematics, University of the Punjab, Lahore, Pakistan.
  • Malik Zawwar Hussain Department of Mathematics, University of the Punjab, Lahore, Pakistan.
  • Robert J. Cripps Geometric Modelling Group, Mechanical and Manufacturing Engineering, University of Birmingham, Birmingham, England.

Keywords:

C 2 rational quintic function, free parameters, peono kernel

Abstract

A two-parameter family of piecewise C2C2 rational quintic functions is presented along with an error investigation for the approximation of an arbitrary C3C3 function. The two parameters have a direct geometric interpretation making their use straightforward. Illustrations of their effect on the shape of the rational function are given. The relaxed continuity constraints and the increased flexibility via the two parameters make the
proposed function a suitable candidate for interactive CAD

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Published

2009-12-31

Issue

Vol. 5 No. 1 (2009): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

C 2 Rational quintic function. (2009). Journal of Prime Research in Mathematics, 5(1), 115 – 126. https://jprm.sms.edu.pk/index.php/jprm/article/view/50