A simple quincunx wavelet with support on triangles (Q1990806)
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scientific article; zbMATH DE number 6965851
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A simple quincunx wavelet with support on triangles |
scientific article; zbMATH DE number 6965851 |
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A simple quincunx wavelet with support on triangles (English)
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25 October 2018
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The author investigates orthonormal wavelet systems and proposes a simple orthonormal wavelet system associated to the quincunx dilation in \(\mathbb R^2\) with four generators. The generators are sums of two constant functions on triangles on the unit square. Continuing his investigation, the author proves that such a system is complete in \(L^p(\mathbb R^2),~1< p <\infty\). Moreover, the author presents a filter bank algorithm corresponding to the proposed wavelet system and its associated scaling functions.
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quincunx matrix
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multiresolution analysis
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refinable function vector
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wavelets system
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0.8526124
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0.8379285
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0.8321588
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0.83079636
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