Shape Preserving Positive and Convex Data Visualization using Rational Bi-cubic Functions

This paper is concerned with the problem of positive and convex data visualization in the form of positive and convex surfaces. A rational bi-cubic partially blended function with eight free parameters in its description is introduced and applied to visualize the shape of positive data and convex data. The developed schemes in this paper have unique representations. Visual models of surfaces attain  smoothness. &nbsp