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Multiscale decomposition of divided difference operators and nonstationary subdivision schemes of B-spline series. (Chinese. English summary) Zbl 1072.41004

The paper presents a decomposition scheme of the \(m\)-th order divided difference operator on non-uniform mesh. A subdivision scheme of arbitrary B-spline series is introduced. Two examples are provided to illustrate the efficiency.

MSC:

41A15 Spline approximation
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