Linear spatio-temporal scale-space

Tony Lindeberg

Proc. First Int. Conf. Scale-Space'97 (B. M. ter Haar Romeny, L. M. J. Florack, J. J. Koenderink, and M. A. Viergever, eds.), vol. 1252 of Lecture Notes in Computer Science, (Utrecht, The Netherlands), pp. 113--127, Springer Verlag, Berlin, July 1997.

Abstract

This article presents a scale-space theory for spatio-temporal data. Starting from the main assumptions that (i) the scale-space should be generated by convolution with a semi-group of filter kernels and that (ii) local extrema must not be enhanced when the scale parameter increases, a complete taxonomy is given of the linear scale-space concepts that satisfy these conditions on spatial, temporal and spatio-temporal domains, including the cases with continuous as well as discrete data.

Keywords: scale, time, spatio-temporal, receptive field, derivative, Gaussian, scale-space

PDF: (258 kb)

Extended technical report: (HTML)

Related publications: (Extension to time-recursive velocity-adapted spatio-temporal scale-space filters) (Extended technical report from 2001) (Separable scale-space with causal time direction) (Automatic selection of temporal scales in time-causal scale-space) (Discrete scale-space theory on a spatial domain based on non-creation of local extrema) (Discrete scale-space theory on a spatial domain based on non-enhancement of local extrema) (Monograph on scale-space theory)