Convex Surface Visualization Using Rational Bi- cubic Function

Iranian Journal of Optimization

مقاله 1، دوره 5، شماره 1، فروردین 2013، صفحه 361-383   

نوع مقاله: Research Paper

نویسندگان

Malik Zawwar Hussain^{* 1}؛ Fareeha Saadia¹؛ Maria Hussain²

¹Department of Mathematics, University of the Punjab, Lahore, Pakistan

²Department of Mathematics, Lahore College for Women University, Pakistan

چکیده

The rational cubic function with three parameters has been extended to rational bi-cubic function to visualize the shape of regular convex surface data. The rational bi-cubic function involves six parameters in each rectangular patch. Data dependent constraints are derived on four of these parameters to visualize the shape of convex surface data while other two are free to refine the shape of surface at user choice. The developed constraints on parameters act as sufficient conditions for visualization of convex surface data. Moreover, computationally simple and less time consuming as compared to exiting techniques. 

کلیدواژه‌ها

Rational bi-cubic function؛ Convex Surface؛ free parameters

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