Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637909 | Journal of Computational and Applied Mathematics | 2016 | 12 Pages |
Abstract
In this work ternary non-stationary subdivision schemes, based on hyperbolic B-spline basis functions, have been presented. The proposed hyperbolic, ternary three point and four point subdivision schemes, give pleasing as well as consistent curves with the control polygons as compared to the existing non-stationary subdivision schemes obtained from trigonometric B-splines. The main speciality of the hyperbolic schemes is that, they can reproduce hyperbolas and parabolas quite efficiently which has been demonstrated with the help of curvature plots.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shahid S. Siddiqi, Wardat us Salam, Kashif Rehan,