Kherd, Ahmed and Saaban, Azizan and Man, Noraziah (2014) Surface interpolation using partial differentiation equation with positivity preserving cubic said-Ball curves boundary condition. AIP Conference Proceedings, 1602 (1). pp. 429-434. ISSN 0094-243X

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Abstract

In this paper, the sufficient condition for the positive preservation of boundary curves for each edges of bicubic rectangular Said-Ball patches will be discussed.With the use of polynomial solution of fourth order linear PDEs, these curves are defined on rectangular grid for the purpose of enhancing the positivity preservation of the interpolating surface. Through an independent adjustment of the lower boundary of edge Said-Ball ordinates, a sufficient condition on boundary curves for individual edge of bicubic rectangular Said-Ball patches is derived. By employing two well recognized test functions, finding reveals that the approach proposed is appropriate with regard to positive preservation of boundary curves and that there is improvement in the positive preservation of the whole interpolating surfaces.

Item Type:	Article
Additional Information:	Presented at The 3rd International Conference on Mathematical Sciences, 17-19 December 2013, Kuala Lumpur, ISBN: 978-0-7354-1236-1
Subjects:	Q Science > QA Mathematics
Divisions:	School of Quantitative Sciences
Depositing User:	Dr. Azizan Saaban
Date Deposited:	13 Apr 2017 07:01
Last Modified:	13 Apr 2017 07:01
URI:	https://repo.uum.edu.my/id/eprint/21559

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