Research Article
Shape Preserving Surfaces for the Visualization of Positive and Convex Data using Rational Bi-quadratic Splines
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 27 - Issue 10 |
| Published: August 2011 |
| Authors: Malik Zawwar Hussain, Muhammad Sarfraz, Ayesha Shakeel |
10.5120/3338-4594
|
Malik Zawwar Hussain, Muhammad Sarfraz, Ayesha Shakeel . Shape Preserving Surfaces for the Visualization of Positive and Convex Data using Rational Bi-quadratic Splines. International Journal of Computer Applications. 27, 10 (August 2011), 12-20. DOI=10.5120/3338-4594
@article{ 10.5120/3338-4594,
author = { Malik Zawwar Hussain,Muhammad Sarfraz,Ayesha Shakeel },
title = { Shape Preserving Surfaces for the Visualization of Positive and Convex Data using Rational Bi-quadratic Splines },
journal = { International Journal of Computer Applications },
year = { 2011 },
volume = { 27 },
number = { 10 },
pages = { 12-20 },
doi = { 10.5120/3338-4594 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2011
%A Malik Zawwar Hussain
%A Muhammad Sarfraz
%A Ayesha Shakeel
%T Shape Preserving Surfaces for the Visualization of Positive and Convex Data using Rational Bi-quadratic Splines%T
%J International Journal of Computer Applications
%V 27
%N 10
%P 12-20
%R 10.5120/3338-4594
%I Foundation of Computer Science (FCS), NY, USA
Abstract
A smooth surface interpolation scheme for positive and convex data has been developed. This scheme has been extended from the rational quadratic spline function of Sarfraz [11] to a rational bi-quadratic spline function. Simple data dependent constraints are derived on the free parameters in the description of rational bi-quadratic spline function to preserve the shape of 3D positive and convex data. The rational spline scheme has a unique representation. The developed scheme is computationally economical and visually pleasant.
References
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