Discrete Orthogonal Decomposition and Variational Fluid Flow Estimation |
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Authors: | Jing Yuan Christoph Schnörr Etienne Mémin |
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Affiliation: | (1) CVGPR Group, University of Mannheim, Mannheim, Germany;(2) VISTA Group, INRIA/IRISA Rennes, Rennes, France |
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Abstract: | We exploit the mimetic finite difference method introduced by Hyman and Shashkov to present a framework for estimating vector
fields and related scalar fields (divergence, curl) of physical interest from image sequences. Our approach provides a basis
for consistent definitions of higher-order differential operators, for the analysis and a novel stability result concerning
second-order div-curl regularizers, for novel variational schemes to the estimation of solenoidal (divergence-free) image
flows, and to convergent numerical methods in terms of subspace corrections. |
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Keywords: | Variational models Optical flow Helmholtz decomposition Experimental fluid dynamics |
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