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Positivity-preserving scattered data interpolating surface using C1 piecewise cubic triangular patches


Saaban, Azizan and Mt Piah, Abd Rahni and Abd Majid, Ahmad (2006) Positivity-preserving scattered data interpolating surface using C1 piecewise cubic triangular patches. In: International Conference on Computer Graphics, Imaging and Visualisation, 2006, 26-28 July 2006 , Sydney.

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Abstract

The construction of a bivariate C1 interpolant to scattered data is considered in which the interpolant is positive everywhere if the original data are positive. This study is motivated by earlier work in which sufficient conditions are derived on Bezier points in order to ensure that surfaces comprising cubic Bezier triangular patches are always positive and satisfy C1 continuity conditions. Initial gradients at the data sites are estimated and then modified if necessary to ensure that these conditions are satisfied. The construction is local and easy to implement. Graphical examples are presented using two test functions

Item Type: Conference or Workshop Item (Paper)
Additional Information: Print ISBN: 0-7695-2606-3
Subjects: Q Science > QA Mathematics > QA76 Computer software
Divisions: College of Arts and Sciences
Depositing User: Mrs. Norazmilah Yaakub
Date Deposited: 27 Dec 2011 01:35
Last Modified: 04 Jan 2017 04:41
URI: http://repo.uum.edu.my/id/eprint/4333

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