Improved sufficient conditions for monotonic piecewise rational quartic interpolation

Abd Rahni Mt Piah, and Unsworth, Keith (2011) Improved sufficient conditions for monotonic piecewise rational quartic interpolation. Sains Malaysiana, 40 (10). pp. 1173-1178. ISSN 0126-6039

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Abstract

In 2004, Wang and Tan described a rational Bernstein-Bézier curve interpolation scheme using a quartic numerator and linear denominator. The scheme has a unique representation, with parameters that can be used either to change the shape of the curve or to increase its smoothness. Sufficient conditions are derived by Wang and Tan for preserving monotonicity, and for achieving either C1 or C2 continuity. In this paper, improved sufficient conditions are given and some numerical results presented.

Item Type:Article
Keywords:Continuity; interpolation; monotonicity; rational Bernstein-Bézier
Journal:Sains Malaysiana
ID Code:2728
Deposited By: Mr Azam
Deposited On:25 Aug 2011 04:41
Last Modified:14 Dec 2016 06:32

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