Visualization of positive and convex data by a rational cubic spline interpolation

Abstract

A curve interpolation scheme for the visualization of scientific data has been developed. This scheme uses piecewise rational cubic functions and is meant for positive and convex data. The two families of parameters, in the description of the rational interpolant, have been constrained to preserve the shape of the data. The rational spline scheme has a unique representation. In addition to preserve the shape of positive and/or convex data sets, it also possesses extra features to modify the shape of the design curve as and when desired. The degree of smoothness attained is C 1.