Scale-time kernels and models

Abstract

Receptive field sensitivity profiles of visual front-end cells in the LGN and V1 area in intact animals can be measured with increasing accuracy, both in the spatial and temporal domain. This urges the need for mathematical models. Scale-space theory, as a theory of (multiscale) apertures as operators on observed data, is concerned with the mathematical modeling of front-end visual system behaviour. This paper compares recent measurements on the spatio-temporal respons of LGN cell and V1 simple cell receptive fields [1] with Koenderink’s results from axiomatic reasoning for a real-time measuring spatio-temporal differential operator [2]. In this model time must be logarithmically remapped to make the operation causal in the temporal domain.