Normative theory of visual receptive fields

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¹Computational Brain Science Lab, Division of Computational Science and Technology, KTH Royal Institute of Technology, SE-100 44 Stockholm, Sweden.

|February 1, 2021

Abstract:

This article gives an overview of a normative theory of visual receptive fields. We describe how idealized functional models of early spatial, spatio-chromatic and spatio-temporal receptive fields can be derived in a principled way, based on a set of axioms that reflect structural properties of the environment in combination with assumptions about the internal structure of a vision system to guarantee consistent handling of image representations over multiple spatial and temporal scales. Interestingly, this theory leads to predictions about visual receptive field shapes with qualitatively very good similarities to biological receptive fields measured in the retina, the LGN and the primary visual cortex (V1) of mammals.

Keywords:

Affine covariance Double-opponent cell Functional model Galilean covariance Gaussian derivative Illumination invariance LGN Primary visual cortex Receptive field Retina Scale covariance Simple cell Temporal causality Vision

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