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

10.5120/3338-4594 |

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

@article{key:article, 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} }

### 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.

### Reference

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