ArticleJournal of computational neuroscience2025
Orientation selectivity properties for the affine Gaussian derivative and the affine Gabor models for visual receptive fields.
Article in Journal of computational neuroscience, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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5 citing papers in PubMed.
- Do the receptive fields in the primary visual cortex span a variability over the degree of elongation of the receptive fields?Journal of computational neuroscience · 2025Article
- Relationships between the degrees of freedom in the affine Gaussian derivative model for visual receptive fields and 2-D affine image transformations with application to covariance properties of simple cells in the primary visual cortex.Biological cybernetics · 2025Article
- Artificial Visual System for Stereo-Orientation Recognition Based on Hubel-Wiesel Model.Biomimetics (Basel, Switzerland) · 2025Article
- Orientation selectivity properties for integrated affine quasi quadrature models of complex cells.PloS one · 2025Article
- Covariance properties under natural image transformations for the generalised Gaussian derivative model for visual receptive fields.Frontiers in computational neuroscience · 2023Article
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Abstract
This paper presents an in-depth theoretical analysis of the orientation selectivity properties of simple cells and complex cells, that can be well modelled by the generalized Gaussian derivative model for visual receptive fields, with the purely spatial component of the receptive fields determined by oriented affine Gaussian derivatives for different orders of spatial differentiation. A detailed mathematical analysis is presented for the three different cases of either: (i) purely spatial receptive fields, (ii) space-time separable spatio-temporal receptive fields and (iii) velocity-adapted spatio-temporal receptive fields. Closed-form theoretical expressions for the orientation selectivity curves for idealized models of simple and complex cells are derived for all these main cases, and it is shown that the orientation selectivity of the receptive fields becomes more narrow, as a scale parameter ratio
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