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

International Journal of Computer Applications
© 2011 by IJCA Journal
Number 10 - Article 3
Year of Publication: 2011
Malik Zawwar Hussain
Muhammad Sarfraz
Ayesha Shakeel

Malik Zawwar Hussain, Muhammad Sarfraz and Ayesha Shakeel. Article: Shape Preserving Surfaces for the Visualization of Positive and Convex Data using Rational Bi-quadratic Splines. International Journal of Computer Applications 27(10):12-20, August 2011. Full text available. BibTeX

	author = {Malik Zawwar Hussain and Muhammad Sarfraz and Ayesha Shakeel},
	title = {Article: 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},
	month = {August},
	note = {Full text available}


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.


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