Convex Surface Interpolation

摘要

This work is a contribution towards the graphical display of 3D data over a regular grid when it is convex. A piecewise rational bicubic function [8] has been utilized for this objective. Simple sufficient data dependent conditions are derived on free parameters in the description of rational bi-cubic function to preserve the shape of data. The presented method applies equally well to data or data with derivatives. The developed scheme is not only local and computationally economical but also visually pleasing.