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

Conference paper

DOI: 10.1007/978-3-319-18461-6_8

Part of the Lecture Notes in Computer Science book series (LNCS, volume 9087)
Cite this paper as:
Lindeberg T. (2015) Separable Time-Causal and Time-Recursive Spatio-Temporal Receptive Fields. In: Aujol JF., Nikolova M., Papadakis N. (eds) Scale Space and Variational Methods in Computer Vision. SSVM 2015. Lecture Notes in Computer Science, vol 9087. Springer, Cham

Abstract

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.

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Copyright information

© 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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