Separable Time-Causal and Time-Recursive Spatio-Temporal Receptive Fields

  • Tony LindebergEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9087)


We present an improved model and theory for time-causal and time-recursive spatio-temporal receptive fields, obtained by a combination of Gaussian receptive fields over the spatial domain and first-order integrators or equivalently truncated exponential filters coupled in cascade over the temporal domain. Compared to previous spatio-temporal scale-space formulations in terms of non-enhancement of local extrema or scale invariance, these receptive fields are based on different scale-space axiomatics over time by ensuring non-creation of new local extrema or zero-crossings with increasing temporal scale. Specifically, extensions are presented about parameterizing the intermediate temporal scale levels, analysing the resulting temporal dynamics and transferring the theory to a discrete implementation in terms of recursive filters over time.


Scale Level Local Extremum Temporal Delay Biological Cybernetic Exponential Kernel 
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© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Computational Biology, School of Computer Science and CommunicationKTH Royal Institute of TechnologyStockholmSweden

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