{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/optical-flow-on-evolving-sphere-like-surfaces","title":"Optical Flow on Evolving Sphere-Like Surfaces","arxiv_id":"1506.03358","date":"2015-06-10","proceeding":null,"authors":["Lukas F. Lang","Otmar Scherzer"],"abstract":"In this work we consider optical flow on evolving Riemannian 2-manifolds\nwhich can be parametrised from the 2-sphere. Our main motivation is to estimate\ncell motion in time-lapse volumetric microscopy images depicting fluorescently\nlabelled cells of a live zebrafish embryo. We exploit the fact that the\nrecorded cells float on the surface of the embryo and allow for the extraction\nof an image sequence together with a sphere-like surface. We solve the\nresulting variational problem by means of a Galerkin method based on vector\nspherical harmonics and present numerical results computed from the\naforementioned microscopy data.","url_abs":"http://arxiv.org/abs/1506.03358v1","url_pdf":"http://arxiv.org/pdf/1506.03358v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"optical-flow-on-evolving-sphere-like-surfaces","repo_url":"https://github.com/lukaslang/ofcm","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[{"task_slug":"optical-flow-estimation","task_name":"Optical Flow Estimation"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}