Papers › Decomposition of Optical Flow on the Sphere

Decomposition of Optical Flow on the Sphere

16 Dec 2013arXiv:1312.4354archive 2025-07-28

Clemens Kirisits, Lukas F. Lang, Otmar Scherzer

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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Motion EstimationOptical Flow Estimation

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