English

Conformal models for hypercolumns in the primary visual cortex V1

Neurons and Cognition 2024-10-29 v1 Differential Geometry

Abstract

We propose a differential geometric model of hypercolumns in the primary visual cortex V1 that combines features of the symplectic model of the primary visual cortex by A. Sarti, G. Citti and J. Petitot and of the spherical model of hypercolumns by P. Bressloff and J. Cowan. The model is based on classical results in Conformal Geometry.

Cite

@article{arxiv.2410.20184,
  title  = {Conformal models for hypercolumns in the primary visual cortex V1},
  author = {D. V. Alekseevsky and A. Spiro},
  journal= {arXiv preprint arXiv:2410.20184},
  year   = {2024}
}

Comments

18 pages - This is the second of the two separate papers, in which "D.V.Alekseevsky and A. Spiro, Conformal models for hypercolumns and the visual V1 cortex'', posted on arXiv on 2022, has been split. The other paper is "D.V.Alekseevsky and A. Spiro, The functional architecture of the early vision and neurogeometric models'', posted on arXiv as well

R2 v1 2026-06-28T19:36:39.726Z