Visualization of data preserving monotonicity

A rational cubic function [M. Tian, Y. Zhang, J. Zhu, Q. Duan, Convexity-preserving piecewise rational cubic interpolation, ISCIAS, Hefei, China, 2005] has been used to visualize monotone data in the view of monotone curves by making constraints on free parameters in the description of rational cubic function. The rational cubic function is extended to rational bicubic partially blended function (Coons Patches). Simple constraints are derived on free parameters in the description of rational bicubic partially blended patches to visualize the monotone data in the view of monotone surfaces. The scheme of the paper is economical to compute and visually pleasant.