Shape Preserving Surfaces for the Visualization of Positive and Convex Data using Rational Biquadratic Splines | Zendy

Malik Zawwar Hussain | Zendy; Muhammad Sarfraz | Zendy; Ayesha Shakeel | Zendy

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Shape Preserving Surfaces for the Visualization of Positive and Convex Data using Rational Biquadratic Splines

Author(s) -

Malik Zawwar Hussain,

Muhammad Sarfraz,

Ayesha Shakeel

Publication year - 2011

Publication title -

international journal of computer applications

Language(s) - English

Resource type - Journals

ISSN - 0975-8887

DOI - 10.5120/3338-4594

Subject(s) - computer science , regular polygon , visualization , computer graphics (images) , artificial intelligence , geometry , mathematics

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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