In this talk we will consider optical flow on evolving surfaces which can be parametrised from the 2-sphere. Our main motivation is to estimate cell motion in time-lapse volumetric (4D) microscopy images depictinguorescently 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 a two-dimensional image sequence together with a surface parametrisation. The variational optical flow problem is then solved with a Galerkin method based on tangent vector spherical harmonics. Finally, we present numerical results and discuss recent efforts.
This is joint work with Otmar Scherzer.
This is a joint CIA-CCIMI seminar