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Range restricted C2 interpolant to scattered data


Saaban, Azizan and Piah, A.R.M. and Majid, A.A. (2007) Range restricted C2 interpolant to scattered data. In: International Conference on Computer Graphics, Imaging and Visualisation 2007 (CGIV '07) , 14-17 August 2007 , Bangkok.

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Abstract

The construction of a range restricted bivariate C2 interpolant to scattered data is considered in which the interpolant is positive everywhere if the original data are positive. Sufficient conditions are derived on Bezier points in order to ensure that surfaces comprising quintic Bezier triangular patches are always positive and satisfy C2 continuity conditions. The first and second derivatives at the data sites are then calculated (and modified if necessary) to ensure that these conditions are satisfied. Its construction is local and easily extended to include as upper and lower constraints to the interpolating surfaces of the form z = C(x,y) where C is a polynomial of degree less or equal to 5. A number of examples are presented.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Print ISBN: 0-7695-2928-3
Subjects: Q Science > QA Mathematics > QA76 Computer software
Divisions: College of Arts and Sciences
Depositing User: Mrs. Norazmilah Yaakub
Date Deposited: 27 Dec 2011 01:38
Last Modified: 27 Dec 2011 01:38
URI: http://repo.uum.edu.my/id/eprint/4336

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