Signal processing of simplicial complexes | Sciact - Система учета научной деятельности ИМ СО РАН

Signal processing of simplicial complexes Научная публикация

Журнал

Journal of Physics: Conference Series
ISSN: 1742-6588 , E-ISSN: 1742-6596

Вых. Данные

Год: 2022, Том: 2182, Номер: 1, Номер статьи : 012017, Страниц : DOI: 10.1088/1742-6596/2182/1/012017

Ключевые слова

discrete fields; divergence operator; gradient operator; Hodge decomposition; Laplace matrix; simplicial complex

Авторы

Chukanov S.N. ¹

Организации

1	Sobolev Institute of Mathematics of the Siberian Branch, Russian Academy of Sciences, Omsk Branch, Pevtsova, 13, Omsk, 644043, Russian Federation

Информация о финансировании (1)

Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН».

0314-2019-0020

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.

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

Scopus:	2-s2.0-85127700475
РИНЦ:	48426587
OpenAlex:	W4220879979

БД	Цитирований
OpenAlex	5