Abstract—In Computer Aided Geometric Design (CAGD), it is often needed to produce a positivity–preserving curve according to the given positive data. The main focus of this work is to address the problem of visualizing positive data in such a way that its display looks smooth and pleasant. A rational cubic spline function with three shape parameters has been developed. Simple data dependent constraints are derived for single shape parameter to preserve the positivity through positive data. Remaining two shape parameters are provided extra freedom to user for modification of curves as desired. The scheme is local, computationally economical and time saving as compared to existing schemes. The curve scheme under discussion is attained 1 C continuity.

Index Terms—Data visualization, interpolation, rational cubic function, shape parameters.

The authors are with the School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang Malaysia (e-mail: m.abbas@uos.edu.pk, majid@cs.usm.my, jamaluma@cs.usm.my).

 

Cite:Muhammad Abbas, Ahmad Abd. Majid, and Jamaludin Md. Ali, "A Rational Spline for Preserving the Shape of Positive Data," International Journal of Computer and Electrical Engineering vol. 5, no. 5, pp. 442-446, 2013.