7 papers
On sources to variabilities of simple cells in the primary visual cortex: A principled theory for the interaction between geometric image transformations and receptive field responses
Tony Lindeberg
This paper gives an overview of a theory for modelling the interaction between geometric image transformations and receptive field responses for a visual observer that views object…
Scale-invariant Gaussian derivative residual networks
Andrzej Perzanowski, Tony Lindeberg
Generalisation across image scales remains a fundamental challenge for deep networks, which often fail to handle images at scales not seen during training (the out-of-distribution…
Hybrid Lie semi-group and cascade structures for the generalized Gaussian derivative model for visual receptive fields
Tony Lindeberg
Because of the variabilities of real-world image structures under the natural image transformations that arise when observing similar objects or spatio-temporal events under differ…
Direction and speed selectivity properties for spatio-temporal receptive fields according to the generalized Gaussian derivative model for visual receptive fields
Tony Lindeberg
This paper gives an in-depth theoretical analysis of the direction and speed selectivity properties of idealized models of the spatio-temporal receptive fields of simple cells and…
Orientation selectivity properties for integrated affine quasi quadrature models of complex cells
Tony Lindeberg
This paper presents an analysis of the orientation selectivity properties of idealized models of complex cells in terms of affine quasi quadrature measures, which combine the respo…
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
Tony Lindeberg
When observing the surface patterns of objects delimited by smooth surfaces, the projections of the surface patterns to the image domain will be subject to substantial variabilitie…