Weighted-powerp nonlinear subdivision schemes

Authors:
Francesc Aràndiga;Rosa Donat;Maria Santágueda
Affiliations:
Depto. Matematica Aplicada, Universitat de Valencia, Burjassot, Spain;Depto. Matematica Aplicada, Universitat de Valencia, Burjassot, Spain;Depto. Matematica Aplicada, Universitat de Valencia, Burjassot, Spain
Venue:
Proceedings of the 7th international conference on Curves and Surfaces
Year:
2010

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Abstract

In this paper we present and analyze a generalization of the Powerp subdivision schemes proposed in [3,12]. The Weighted-Powerp schemes are based on a harmonic weighted version of the Power average considered in [12], and their development is motivated by the desire to generalize the nonlinear analysis in [3,5] to interpolatory subdivision schemes with higher than second order accuracy.