Analysis of the Gibbs phenomenon in stationary subdivision schemes

@article{Amat2018AnalysisOT,
  title={Analysis of the Gibbs phenomenon in stationary subdivision schemes},
  author={Sergio Amat and Juan Ruiz and Juan Carlos Trillo and Dionisio F. Y{\'a}{\~n}ez},
  journal={Appl. Math. Lett.},
  year={2018},
  volume={76},
  pages={157-163}
}
In this paper sufficient conditions to determine if a stationary subdivision scheme produces Gibbs oscillations close to discontinuities are presented. It consists on 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… CONTINUE READING