Article ID Journal Published Year Pages File Type
4642025 Journal of Computational and Applied Mathematics 2008 16 Pages PDF
Abstract

Following the general idea of smoothing through convolution, we discuss schemes for smoothing hat functions on the three-directional and the four-directional mesh. The smoothing masks–which in the four-directional case are matrix masks–have the same support as the refinement mask for the hat functions. Several smoothing schemes are presented, and in some cases the smoothness properties of the smoothed functions are analysed. In particular, the results for the four-directional case follow new and original lines of research.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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