Signal processing of simplicial complexes Full article
| Journal |
Journal of Physics: Conference Series
ISSN: 1742-6588 , E-ISSN: 1742-6596 |
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| Output data | Year: 2022, Volume: 2182, Number: 1, Article number : 012017, Pages count : DOI: 10.1088/1742-6596/2182/1/012017 | ||
| Tags | discrete fields; divergence operator; gradient operator; Hodge decomposition; Laplace matrix; simplicial complex | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН». | 0314-2019-0020 |
Abstract:
The paper considered the signal processing of simplicial complexes. Hodge decomposition formula for discrete fields is given, which is similar to the Hodge decomposition formula for smooth vector fields. The construction and the estimation of the gradient, divergence and curl operators and Laplace matrices for discrete vector fields are considered. © Published under licence by IOP Publishing Ltd.
Cite:
Chukanov S.N.
Signal processing of simplicial complexes
Journal of Physics: Conference Series. 2022. V.2182. N1. 012017 . DOI: 10.1088/1742-6596/2182/1/012017 Scopus РИНЦ OpenAlex
Signal processing of simplicial complexes
Journal of Physics: Conference Series. 2022. V.2182. N1. 012017 . DOI: 10.1088/1742-6596/2182/1/012017 Scopus РИНЦ OpenAlex
Identifiers:
| Scopus: | 2-s2.0-85127700475 |
| Elibrary: | 48426587 |
| OpenAlex: | W4220879979 |
Citing:
| DB | Citing |
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| OpenAlex | 5 |