Exploring Alternative Spatial and Temporal Dense Representations for Action Recognition

Abstract

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Trends in recurrence analysis of dynamical systems

“…Finally, for analysing spatio-temporal recurrences, we need a recurrence criterion that considers the spatial variability in a temporal sequence of images X (t). A promising distance measure is based on the mapogram m b,i,j of an image X which can be compared to another image X using the Bhattacharyya distance [64]…”

“…However, here the spatial information in an image is completely lost. A powerful approach combining both concepts was suggested by [64]. They suggest to apply mapograms to compare images (cp.…”

Multiscale recurrence analysis of spatio-temporal data

“…In ecology, the so-called kappa statistic 11 is often used for this purpose, and a modification of the Bhattacharyya similarity measure is popular in visual tracking 12,13 . A new idea has arisen that such global comparison of spatial structures might be embedded into the recurrence methodology for an improved description and quantification of spatio-temporal dynamics 14,15 . Agustí et al 14 chose the spatiogram 12 in this way, whereas Marwan et al 15 considered the distance of high dimensional state vectors representing the spatial structure in each time step.…”

“…A new idea has arisen that such global comparison of spatial structures might be embedded into the recurrence methodology for an improved description and quantification of spatio-temporal dynamics 14,15 . Agustí et al 14 chose the spatiogram 12 in this way, whereas Marwan et al 15 considered the distance of high dimensional state vectors representing the spatial structure in each time step. A disadvantage of the first method is the high level of abstraction where the spatial structure is approximated by a Gaussian peak.…”