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Analysis of uniform binary subdivision schemes for curve design

Authors:

Institution:

1. Sackler Faculty of Exact Sciences School of Mathematical Sciences, Tel-Aviv University, 69978, Tel-Aviv, Israel
2. Department of Mathematics and Statistics, Brunel University, UB8 3PH, Uxbridge, Middlesex, England

Abstract:

The paper analyses the convergence of sequences of control polygons produced by a binary subdivision scheme of the form

$\begin{array}{*{20}c} {f_{2i}^{k + 1} = \sum\limits_{j = 0}^m {a_j f_{i + j}^k } ,} & {f_{2i + 1}^{k + 1} = \sum\limits_{j = 0}^m {b_j f_{i + j}^k ,} } & {i \in Z,k = 0,1,2,....} \\ \end{array}$

Keywords:	AMS classification" target="_blank">AMS classification 41A15 65Q05 68U05 65D10
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