Regularity of multivariate vector subdivision schemes

@article{Charina2004RegularityOM,
  title={Regularity of multivariate vector subdivision schemes},
  author={Maria Charina and Costanza Conti and Tomas Sauer},
  journal={Numerical Algorithms},
  year={2004},
  volume={39},
  pages={97-113}
}
In this paper we discuss methods for investigating the convergence of multivariate vector subdivision schemes and the regularity of the associated limit functions. Specifically, we consider difference vector subdivision schemes whose restricted contractivity determines the convergence of the original scheme and describes the connection between the regularity of the limit functions of the difference subdivision scheme and the original subdivision scheme. 

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References

Publications referenced by this paper.
Showing 1-10 of 15 references

Convergence of vector subdivision schemes in Sobolev spaces, Appl

  • D. R. Chen, R. Q. Jia, S. D. Riemenschneider
  • Comput. Harmon. Anal
  • 2002
1 Excerpt

Matrix subdivision – analysis by factorization, in: Approximation Theory (B

  • N. Dyn, D. Levin
  • D. Bojanov, ed.), pp. 187–211, DARBA, Sofia,
  • 2002

Polynomial interpolation, ideals and approximation order of refinable functions

  • T. Sauer
  • Proc. Amer. Math. Soc
  • 2002

Regularity of multivariate vector subdivision schemes, Preprint

  • M. Charina, C. Conti
  • Dipartimento di Energetica, Università di…
  • 2002
1 Excerpt

Stationary vector subdivision - quotient ideals, differences and approximation power

  • T. Sauer
  • RACSAM Rev. R. Acad. Cienc. Exactas F́ıs. Nat…
  • 2002
1 Excerpt

Subdivision schemes in geometric modelling, in: Acta Numerica, pp

  • N. Dyn, D. Levin
  • 1–72, Cambridge University Press,
  • 2002

On the existence and weak stability of matrix refinable functions

  • Q. T. Jiang, Z. Shen
  • Constr. Approx
  • 1999
1 Excerpt

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