Spatio-temporal curvature measures for flow-field analysis

by Christoph Zetzsche, Erhardt Barth, Joachim Berkmann

Abstract:

Intrinsic signal dimensionality, a property closely related to Gaussian curvature, is shown to be an important conceptual tool in multi-dimensional image processing for both biological and engineering sciences. Intrinsic dimensionality can reveal the relationship between recent theoretical developments in the definition of optic flow and the basic neurophysiological concept of 'end-stopping' of visual cortical cells. It is further shown how the concept may help to avoid certain problems typically arising from the common belief that an explicit computation of a flow field has to be the essential first step in the processing of spatio- temporal image sequences. Signals which cause difficulties in the computation of optic flow, mainly the discontinuities of the motion vector field, are shown to be detectable directly in the spatio-temporal input by evaluation of its three-dimensional curvature. The relevance of the suggested concept is supported by the fact that fast and efficient detection of such signals is of vital importance for ambulant observers in both the biological and the technical domain.

Reference:

Spatio-temporal curvature measures for flow-field analysis (Christoph Zetzsche, Erhardt Barth, Joachim Berkmann), In Geometric Methods in Computer Vision (Baba C. Vemuri, ed.), SPIE-Intl Soc Optical Eng, volume 1570, 1991.

Bibtex Entry:

@InProceedings{Zetzsche1991a, author = {Christoph Zetzsche and Erhardt Barth and Joachim Berkmann}, title = {Spatio-temporal curvature measures for flow-field analysis}, booktitle = {Geometric Methods in Computer Vision}, year = {1991}, editor = {Baba C. Vemuri}, volume = {1570}, pages = {337-350}, month = {sep}, publisher = {{SPIE}-Intl Soc Optical Eng}, abstract = {Intrinsic signal dimensionality, a property closely related to Gaussian curvature, is shown to be an important conceptual tool in multi-dimensional image processing for both biological and engineering sciences. Intrinsic dimensionality can reveal the relationship between recent theoretical developments in the definition of optic flow and the basic neurophysiological concept of 'end-stopping' of visual cortical cells. It is further shown how the concept may help to avoid certain problems typically arising from the common belief that an explicit computation of a flow field has to be the essential first step in the processing of spatio- temporal image sequences. Signals which cause difficulties in the computation of optic flow, mainly the discontinuities of the motion vector field, are shown to be detectable directly in the spatio-temporal input by evaluation of its three-dimensional curvature. The relevance of the suggested concept is supported by the fact that fast and efficient detection of such signals is of vital importance for ambulant observers in both the biological and the technical domain.}, doi = {10.1117/12.48436}, url = {10.1117/12.48436">http://dx.doi.org/10.1117/12.48436}, }