Zero and first-degree spline multiwavelets and parallel computing

The paper considers the Haar-like multiwavelets of zero degree splines (step functions) and first-degree splines (broken lines). In contrast to the use of the wavelet transforms based on the Hermitian spline-multiwavelets, the approach proposed does not require the calculation of approximate values...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-01, Vol.1715 (1), p.12006
Main Author: Shumilov, B M
Format: Article
Language:English
Subjects:
Mathematical analysis
Parallel processing
Physics
Spline functions
Step functions
Wavelet transforms
Citations: Items that this one cites
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Summary:The paper considers the Haar-like multiwavelets of zero degree splines (step functions) and first-degree splines (broken lines). In contrast to the use of the wavelet transforms based on the Hermitian spline-multiwavelets, the approach proposed does not require the calculation of approximate values of derivatives. On the other hand, the parallelization effect does not rigidly relate to the degree of a spline. This can lead to a significant computation speedup due to the parallel processing of the measured values by several (instead of one) filters. The results of numerical calculations are compared to the known analogs.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1715/1/012006