English

Optical Flow on Evolving Sphere-Like Surfaces

Optimization and Control 2015-06-11 v1 Computer Vision and Pattern Recognition

Abstract

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.

Keywords

Cite

@article{arxiv.1506.03358,
  title  = {Optical Flow on Evolving Sphere-Like Surfaces},
  author = {Lukas F. Lang and Otmar Scherzer},
  journal= {arXiv preprint arXiv:1506.03358},
  year   = {2015}
}
R2 v1 2026-06-22T09:51:08.583Z