Convex surface interpolation

Authors:
Malik Zawwar Hussain;Maria Hussain
Affiliations:
Department of Mathematics, University of the Punjab, Lahore, Pakistan;Department of Mathematics, University of the Punjab, Lahore, Pakistan
Venue:
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Year:
2008

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Abstract

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.