Necessary conditions for the convergence of subdivision schemes with finite masks
Necessary conditions for the convergence of subdivision schemes with finite masks
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DOI：
10.1016/j.amc.2017.01.012
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发表时间：
2017-06
期刊：
影响因子：
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通讯作者：
L. Cheng;Xinlong Zhou
中科院分区：
文献类型：
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作者：
L. Cheng;Xinlong Zhou
已知具有非负掩模的细分格式的收敛依赖于掩模的支撑的位置，我们考虑支撑和支撑的凸覆盖中的点的位置。我们证明了不同的性质之间的内部和边界点的支持掩模，当相应的细分方案收敛。此外，我们发现，所谓的连接矩阵A推出一个给定的面具是一些简单的条件，以保证这些性质的非负面具。
Knowing that the convergence of the subdivision scheme with a nonnegative mask relies on the location of its support of the mask, we consider the positions of the points in the support and the convex cover of the support. We demonstrate the different properties between the inner and boundary points of the support for the mask, when the corresponding subdivision scheme converges. Furthermore, we find out that the so-called connectivity of a matrixAdeduced by a given mask is some simple condition to guarantee those properties for nonnegative masks.