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arXiv · 1312.4354

Decomposition of Optical Flow on the Sphere

Clemens Kirisits·Lukas F. Lang·Otmar Scherzer
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Abstract

We propose a number of variational regularisation methods for the estimation and decomposition of motion fields on the $2$-sphere. While motion estimation is based on the optical flow equation, the presented decomposition models are motivated by recent trends in image analysis. In particular we treat $u+v$ decomposition as well as hierarchical decomposition. Helmholtz decomposition of motion fields is obtained as a natural by-product of the chosen numerical method based on vector spherical harmonics. All models are tested on time-lapse microscopy data depicting fluorescently labelled endodermal cells of a zebrafish embryo.

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Clemens Kirisits, Lukas F. Lang, Otmar Scherzer. 2014-03-04. Decomposition of Optical Flow on the Sphere. https://doi.org/10.1007/s13137-013-0055-8

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