Title of article
Improved Sufficient Conditions for Monotonic PiecewiseRational Quartic Interpolation
Author/Authors
ABD RAHNI, MT PIAH Universiti Sains Malaysia - School of Mathematical Sciences, Malaysia , UNSWORTH, KEITH Lincoln University - Department of Applied Computing, New Zealand
From page
1173
To page
1178
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.
Keywords
Continuity , interpolation , monotonicity , rational Bernstein , Bézier
Record number
2555109
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