Shape-Preserving Rational Bi-Cubic Spline for Monotone Surface Data

摘要

In this paper, we extended the rational cubic function to rational bi-cubic function that presents a smooth, visually pleasant and interactive view of monotonicity preserving surface. Moreover, it involves six free parameters in its description. These free parameters are arranged in such a way where two of these are constrained to preserve the monotonicity, while the remaining other four free parameters are left free to designer for the refinement of monotone surface as desired. The scheme under discussion is C~1, flexible, simple, local and economical as compared to existing schemes. Numerical examples are provided to demonstrate that the anticipated scheme is interactive and smooth.