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Title |
6-Point Non-Stationary Subdivision Scheme by Hyperbolic B-Spline |
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Author |
Asmat Naz Bajwa Sanaullah Dehraj Mehwish Bari Sunny Kumar Aasoori Muhammad Memon |
| Citation |
Vol. 20 No. 4 pp. 132-138 |
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Abstract |
This paper proposes the construction of binary 6-point non stationary subdivision scheme using hyperbolic B-spline basis function. Hyperbolic B-spline basis functions are more consistent and have immense propensity to produce curves which are proximate to the control polygon unlike non-stationary subdivision scheme by trigonometric B-spline basis function in computational mathematics. Using the concept of asymptotically equivalence, smoothness and convergence are analyzed. Parabolas, hyperbolic polynomials and hyperbolic splines are constructed using the proposed scheme. |
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Keywords |
Binary Schemes, Approximating, Non-Stationary Subdivision Schemes Hyperbolic B-Spline Smoothness. |
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