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
Postscript:
(191 kb)
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)
Tony Lindeberg <tony@nada.kth.se>