Covariance properties under natural image transformations for the generalised Gaussian derivative model for visual receptive fields

Autor: Tony Lindeberg

Publikováno v: Frontiers in Computational Neuroscience, Vol 17 (2023)

The property of covariance, also referred to as equivariance, means that an image operator is well-behaved under image transformations, in the sense that the result of applying the image operator to a transformed input image gives essentially a simil

Externí odkaz: https://doaj.org/article/7ae911714ddf47f6adcbf065a6b32698

Classical Covariance

Autor: Emam, Moataz H., author

Publikováno v: Covariant Physics : From Classical Mechanics to General Relativity and Beyond, 2021, ill.

Externí odkaz: https://doi.org/10.1093/oso/9780198864899.003.0003

Covariance properties under natural image transformations for the generalised Gaussian derivative model for visual receptive fields

Autor: Lindeberg, Tony

Publikováno v: Frontiers in Computational Neuroscience. 17

This paper presents a theory for how geometric image transformations can be handled by a first layer of linear receptive fields, in terms of true covariance properties, which, in turn, enable geometric invariance properties at higher levels in the vi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::223707d0c8d4c9d480c201ee65b2017b

Симплектична теорія поля галілеєво-коваріантних скалярного і спінорного представлень

Autor: Ademir E Santana, S. C. Ulhoa, Gustavo Xavier Antunes Petronilo

Publikováno v: Ukrainian Journal of Physics; Vol. 64 No. 8 (2019); 719
Український фізичний журнал; Том 64 № 8 (2019); 719

Exploring the concept of the extended Galilei group $\mathcal{G}$, a representation for the symplectic quantum mechanics in the manifold of $\mathcal{G}$, written in the light-cone of a five-dimensional De Sitter space-time, is derived consistently w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8ad22e73e2e768e8f375cbef8e1366f
https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019421

The quantization of galilean duffin-kemmer-petiau field

Autor: F. J. S. Ferreira, E. S. Santos, Luciano M. Abreu

Publikováno v: ResearcherID
Brazilian Journal of Physics v.40 n.2 2010
Brazilian Journal of Physics
Sociedade Brasileira de Física (SBF)
instacron:SBF
Brazilian Journal of Physics, Volume: 40, Issue: 2, Pages: 235-241, Published: JUN 2010

We study the quantization of the Galilean covariant Duffin-Kemmer-Petiau (DKP) field in a five-dimensional manifold. The quantization is performed both in the canonical and in the path-integral scenario. It is considered a representation of the Duffi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8dcfea54ddab835e3fdc75574ed4be07
https://doi.org/10.1590/s0103-97332010000200019