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This paper is devoted to the numerical information flows and piecewise constant splines connected with them. The spline spaces and their wavelet decompositions are discussed. The approximation relations for such splines turn into the decomposition of the unit. In the case of a uniform grid, the coordinate splines of this type are often called the Haar functions. The numerical flows are associated with irregular spline grids. The spaces of the piecewise constant splines associated with an irregular grid are called spaces of the Haar type. This paper discusses the calibration relations, embedding of the Haar type spaces and their wavelet decompositions. The structure of the decomposition/reconstruction algorithms are done. The cases of the finite and the infinite flows are considered.
Original language | English |
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Title of host publication | Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020 |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 121-125 |
Number of pages | 5 |
ISBN (Electronic) | 9781728165035 |
DOIs | |
State | Published - Jul 2020 |
Event | 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020 - Platanias, Chania, Crete Island, Greece Duration: 19 Jul 2020 → 22 Jul 2020 |
Name | Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020 |
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Conference | 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020 |
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Country/Territory | Greece |
City | Platanias, Chania, Crete Island |
Period | 19/07/20 → 22/07/20 |
ID: 85827108