Analysis of Univariate Nonstationary Subdivision Schemes with Application to Gaussian-Based Interpolatory Schemes

@article{Dyn2007AnalysisOU,
  title={Analysis of Univariate Nonstationary Subdivision Schemes with Application to Gaussian-Based Interpolatory Schemes},
  author={Nira Dyn and David Levin and Jungho Yoon},
  journal={SIAM J. Math. Analysis},
  year={2007},
  volume={39},
  pages={470-488}
}
This paper is concerned with non-stationary subdivision schemes. First, we derive new sufficient conditions for Cν smoothness of such schemes. Next, a new class of interpolatory 2m-point non-stationary subdivision schemes based on Gaussian interpolation is presented. These schemes are shown to be CL+μ with L ∈ Z+ and μ ∈ (0, 1), where L is the integer smoothness order of the known 2m-point Deslauiers-Dubuc interpolatory schemes. 

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