| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5471518 | Applied Mathematics Letters | 2018 | 7 Pages |
Abstract
In this paper sufficient conditions to determine if a stationary subdivision scheme produces Gibbs oscillations close to discontinuities are presented. It consists of the positivity of the partial sums of the values of the mask. We apply the conditions to non-negative masks and analyze (numerically when the sufficient conditions are not satisfied) the Gibbs phenomenon in classical and recent subdivision schemes like B-splines, Deslauriers and Dubuc interpolation subdivision schemes and the schemes proposed in Siddiqi and Ahmad (2008).
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Sergio Amat, Juan Ruiz, J. Carlos Trillo, Dionisio F. Yáñez,