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Surface Interpolation Using Partial Differentiation Equation with Positivity Preserving Cubic Bezier Curves Boundary Condition

ABDUL KARIM, SAMSUL ARIFFIN (2012) Surface Interpolation Using Partial Differentiation Equation with Positivity Preserving Cubic Bezier Curves Boundary Condition. In: UNSPECIFIED.

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Abstract

This paper proposed the sufficient conditions for positivity preserving cubic boundary curves defined on rectangular grid using a polynomial solution of fourth order linear PDEs in order to improve the positivity preserving of the interpolating surface. We derive a sufficient condition on boundary curves for each edges of bicubic rectangular Bezier patches where the lower bound of edge Bezier ordinates are adjusted independently. From the results of using two well-known test functions show that our proposed method are well performed in term of preserving the positivity of the boundary curves and improve the positivity preserving of overall interpolating surfaces.

Item Type:Conference or Workshop Item (UNSPECIFIED)
Subjects:Q Science > QA Mathematics
Departments / MOR / COE:Departments > Fundamental & Applied Sciences
Mission Oriented Research > Energy
ID Code:8658
Deposited By: Samsul Ariffin Abdul Karim
Deposited On:13 Dec 2012 11:39
Last Modified:19 Jan 2017 08:21

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