Optical Flow on Evolving Sphere-Like Surfaces
This work addresses a domain-specific problem for biomedical imaging researchers, focusing on incremental improvements in optical flow methods for cell tracking.
The paper tackled the problem of estimating cell motion on evolving sphere-like surfaces in time-lapse microscopy images of zebrafish embryos, resulting in a variational solution using vector spherical harmonics with numerical results presented.
In this work we consider optical flow on evolving Riemannian 2-manifolds which can be parametrised from the 2-sphere. Our main motivation is to estimate cell motion in time-lapse volumetric microscopy images depicting fluorescently labelled cells of a live zebrafish embryo. We exploit the fact that the recorded cells float on the surface of the embryo and allow for the extraction of an image sequence together with a sphere-like surface. We solve the resulting variational problem by means of a Galerkin method based on vector spherical harmonics and present numerical results computed from the aforementioned microscopy data.