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Research Article Open access CC BY 3.0

Local Convexity Shape-Preserving Surface Data Visualization by Spline Function

Muhammad Abbas, Ahmad Abd Majid, Mohd Nain Hj Awang, Jamaludin Md Ali

Journal of Advances in Mathematics and Computer Science · pp. 72–93 · Published 30 Apr 2012

10.9734/BJMCS/2012/1181

Abstract

The main purpose of this paper is the visualization of convex surface data to present a smooth, visually pleasing and interactive convexity preserving surfaces. The rational cubic function with three free parameters is extended to rational bi-cubic partially blended function to preserve the shape of convex surface data. The function involves twelve free parameters in each rectangular patch. Data dependent constraints are derived for four of these parameters to preserve the shape of convex surface data while other eight are left free to user for the refinement of convexity preserving surface of data. Moreover, the scheme under discussion is , flexible, simple, local and economical as compared to existing schemes

Shape-preserving interpolation rational bi-cubic partially blended function convex surface convex surface data free parameters.

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Cited by 5

Convex data modelling using rational bi-cubic spline function

Muhammad Abbas, Ahmad Abd Majid, Mohd Nain Hj Awang · ScienceAsia · 2014

Local Convexity-PreservingC2Rational Cubic Spline for Convex Data

Muhammad Abbas, Ahmad Abd Majid, Jamaludin Md. Ali · The Scientific World Journal · 2014

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