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Examples of linear multi-box splines
Published online by Cambridge University Press: 01 December 2012
Abstract
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Let S1=S1(v0,…,vr+1) be the space of compactly supported C0 piecewise linear functions on a mesh M of lines through ℤ2 in directions v0,…,vr+1, possibly satisfying some restrictions on the jumps of the first order derivative. A sequence ϕ=(ϕ1,…,ϕr) of elements of S1 is called a multi-box spline if every element of S1 is a finite linear combination of shifts of (the components of) ϕ. We give some examples for multi-box splines and show that they are stable. It is further shown that any multi-box spline is not always symmetric
MSC classification
Secondary:
65T50: Discrete and fast Fourier transforms
- Type
- Research Article
- Information
- Copyright
- © The Author(s) 2012
References
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