Weighted-Power\( _{p }\) nonlinear subdivision schemes. (English) Zbl 1352.65048
Boissonnat, Jean-Daniel (ed.) et al., Curves and surfaces. 7th international conference, Avignon, France, June 24–30, 2010. Revised selected papers. Berlin: Springer (ISBN 978-3-642-27412-1/pbk). Lecture Notes in Computer Science 6920, 109-129 (2012).
Summary: In this paper we present and analyze a generalization of the Power\( _{p }\) subdivision schemes proposed in [S. Amat et al., Adv. Comput. Math. 34, No. 3, 253–277 (2011; Zbl 1252.65027); K. Dadourian, Schémas de subdivision. Analyses multirésolutions non-linéaires. Applications. Marseille, FR: Université de Provence (PhD Thesis) (2008)]. The Weighted-Power\( _{p }\) schemes are based on a harmonic weighted version of the Power\( _{p }\) average considered in [loc. cit.], and their development is motivated by the desire to generalize the nonlinear analysis in [Amat et al, loc. cit.; Math. Comput. Modelling 46, No. 1–2, 2–11 (2007; Zbl 1134.68063)] to interpolatory subdivision schemes with higher than second order accuracy.
For the entire collection see [Zbl 1229.65002].
For the entire collection see [Zbl 1229.65002].
