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Shape Preserving Surfaces for the Visualization of Positive and Convex Data using Rational Bi-quadratic Splines

by Malik Zawwar Hussain, Muhammad Sarfraz, Ayesha Shakeel
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 27 - Number 10
Year of Publication: 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 },
issue_date = { August 2011 },
volume = { 27 },
number = { 10 },
month = { August },
year = { 2011 },
issn = { 0975-8887 },
pages = { 12-20 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume27/number10/3338-4594/ },
doi = { 10.5120/3338-4594 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:13:24.185889+05:30
%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
%J International Journal of Computer Applications
%@ 0975-8887
%V 27
%N 10
%P 12-20
%D 2011
%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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Index Terms

Computer Science
Information Sciences

Keywords

Data visualization spline interpolation positive convex

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