Normative theory of visual receptive fields

Abstract

This article gives an overview of a normative computational theory of visual receptive fields, by which idealized functional models of early spatial, spatio-chromatic and spatio-temporal receptive fields can be derived in an axiomatic way based on 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 similarity to biological receptive fields measured in the retina, the LGN and the primary visual cortex (V1) of mammals.

15 pages, 17 figures. arXiv admin note: text overlap with arXiv:1210.0754

References in corpus (4)

• Time-causal and time-recursive spatio-temporal receptive fields
• Idealized computational models for auditory receptive fields
• Provably scale-covariant continuous hierarchical networks based on scale-normalized differential expressions coupled in cascade
• Temporal scale selection in time-causal scale space

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• Unified theory for joint covariance properties under geometric image transformations for spatio-temporal receptive fields according to the generalized Gaussian derivative model for visual receptive fields
• 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
• Do the receptive fields in the primary visual cortex span a variability over the degree of elongation of the receptive fields?
• Orientation selectivity properties for the affine Gaussian derivative and the affine Gabor models for visual receptive fields
• Scale generalisation properties of extended scale-covariant and scale-invariant Gaussian derivative networks on image datasets with spatial scaling variations
• A time-causal and time-recursive analogue of the Gabor transform