Visualization of Positive Data by Rational Cubic Spline Interpolant

This paper discusses the problem of constructing positive cubic spline interpolation. To obtain smooth curve for positive data, piecewise rational cubic function has been used. In the description of rational interpolant, two families of parameters have been constrained to preserve positive shape of the data, the rational spline scheme has a unique representation. In addition, to preserve the shape of positive data sets, the degree of smoothness attained is C².