Data Visualization Using Shape Preserving C2 Rational Spline

A rational cubic spline is developed to provide smooth curves(positive, monotone and convex). To control the shape of the curve, two families of parameters are introduced in its representation. Three schemes using rational cubic spline are elaborated to obtain positive curves through positive data, monotone curves through monotone data and convex curves through convex data. As well as degree of smoothness attained is C².