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Non-Rigid Registration Of Live Cell Nuclei Using Global Optical Flow with Elasticity Constraints

Non-rigid registration of cell nuclei in time-lapse microscopy images requires the estimation of nucleus deformation. We propose a new approach for deformation estimation and non-rigid registration of cell nuclei, which integrates elasticity constraints into a global optical flow-based method. We derive an elasticity prior on the deformation from the Navier equation. The common Markov random field prior in previous global methods is replaced by the elasticity prior to better regularize the estimated deformation fields. In addition, we introduce a scheme to exclude sub-cellular structures from estimating the nucleus deformation so that their relative motion does not deteriorate the registration result. Experiments on live cell microscopy image data demonstrate that the proposed method with elasticity constraints outperforms previous methods.