Muhammad SARFRAZ, Farheen IBRAHEEM, Zoha TARIQ, Malik Zawwar HUSSAIN

Monotone data modeling using rational functions

ISSN: 1300-0632
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Rational schemes for shape preservation of monotone data both in 2D and 3D setups have been developed.C1 rational cubic and partially blended bicubic functions are employed for this purpose. Monotonicity is achieved by extracting constraints on parameters involved in the description of these rational functions. Monotone curves and surfaces have been obtained, which provide evidence that the algorithm used fits most types of monotone data and produces visually pleasing results.

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[1] Hussain MZ, Sardraz M, Shaikh TS. Monotone data visualization using rational functions. World Appl Sci J 2012; 16: 1496-1508.
[2] Sardraz M, Hussain MZ, Nisar A. Positive data modeling using spline function. Appl Math Comput 2010; 216: 2036-2049.
[3] Kvasov BI. Monotone and convex interpolation by weighted cubic splines. Comp Math Math Phys 2013; 53: 1428- 1439.
[4] Ibraheem F, Hussain M, Hussain MZ. Monotone data visualization using rational trigonometric spline interpolation. Sci World J 2014; 2014: 602453.
[5] Hussain M, Hussain MZ. Convexity preserving piecewise rational bi-cubic interpolation. Computer Graphics and CAD/CAM 2008; 2: 14-24.
[6] Hussain M, Hussain MZ, Waseem A, Javaid M. GC1 shape preserving trigonometric surface. J Math Imaging Vis 2014; 53: 21-41.
[7] Floater MS, Pena JM. GC1 monotonicity preservation on triangles. Math Comput 2000; 69: 1502-1519.
[8] Hussain MZ, Sarfraz M, Hussain F. Shape preserving positive trigonometric spline curves. Iran J Sci Technol A 2016; 59: 1-13.
[9] Hussain MZ, Hussain M, Waseem A. Shape preserving trigonometric functions. Comp Appl Math 2014; 2: 411-431.
[10] Sarfraz M, Hussain MZ, Hussain M. Modeling rational spline for visualization of shaped data. Journal of Numerical Mathematics 2013; 2: 63-88.