Optical flow and advection on 2-riemannian manifolds: a common framework.

Optical flow and advection on 2-riemannian manifolds: a common framework. Research Abstract Details 

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Optical flow and advection on 2-riemannian manifolds: a common framework. Abstract Text:

Dynamic pattern analysis and motion extraction can be efficiently addressed using optical flow techniques. This article presents a generalization of these questions to non-flat surfaces, where optical flow is tackled through the problem of evolution processes on non-Euclidian domains. The classical equations of optical flow in the Euclidian case are transposed to the theoretical framework of differential geometry. We adopt this formulation for the regularized optical flow problem, prove its mathematical well-posedness and combine it with the advection equation. The optical flow and advection problems are dual: a motion field may be retrieved from some scalar evolution using optical flow; conversely, a scalar field may be deduced from a velocity field using advection. These principles are illustrated with qualitative and quantitative evaluations from numerical simulations bridging both approaches. The proof-of-concept is further demonstrated with preliminary results from time-resolved functional brain imaging data, where organized propagations of cortical activation patterns are evidenced using our approach.

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Optical flow and advection on 2-riemannian manifolds: a common framework. Journal Published:

PUBLICATION TYPE: Journal Article

Journal: IEEE transactions on pattern analysis and machine

VOLUME: 30

Page Numbers: 1081-92

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ISSN: 0162-8828

DAY: 18

MONTH: Jun

YEAR: 2008

Optical flow and advection on 2-riemannian manifolds: a common framework. Information

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LANGUAGE: eng

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AFFILIATION: CNRS, Paris.

Country: United States

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MEDLINETA: IEEE Trans Pattern Anal Mach I

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