Title of article :
A Class of Bézier-Like Splines in Smooth Monotone Interpolation
Author/Authors :
Ling, Ng Seou Universiti Sains Malaysia - School of Mathematical Sciences, Malaysia , Kong, V.P. Universiti Sains Malaysia - School of Mathematical Sciences, Malaysia , Ong, B.H. Universiti Sains Malaysia - School of Mathematical Sciences, Malaysia
Abstract :
We develop a new family of curves, the quartic and quintic Bézier-like curves, and investigate the use of these curves in smooth monotonicity preserving interpolation. These polynomial curves have, besides four control points, two additional parameters for shape control. The effect of the two parameters on the curve is analysed. Conditions on these parameters for the quartic and quintic Bézier-like curves to be monotonic are derived.
Keywords :
Bézier , like spline , Monotonicity preverving , C (^1) monotone interpolation , C (^2) monotone interpolation
Journal title :
Malaysian Journal of Mathematical Sciences
Journal title :
Malaysian Journal of Mathematical Sciences
