{"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/robust-and-bias-free-localization-of","title":"Robust and bias-free localization of individual fixed dipole emitters achieving the Cramér Rao bound","arxiv_id":"2104.02449","date":"2021-04-06","proceeding":null,"authors":["Fabian Hinterer","Magdalena C. Schneider","Simon Hubmer","Montserrat López-Martinez","Philipp Zelger","Alexander Jesacher","Ronny Ramlau","Gerhard J. Schütz"],"abstract":"Single molecule localization microscopy has the potential to resolve structural details of biological samples at the nanometer length scale. However, to fully exploit the resolution it is crucial to account for the anisotropic emission characteristics of fluorescence dipole emitters. In case of slight residual defocus, localization estimates may well be biased by tens of nanometers. We show here that astigmatic imaging in combination with information about the dipole orientation allows to extract the position of the dipole emitters without localization bias and down to a precision of ~1nm, thereby reaching the corresponding Cram\\'{e}r Rao bound. The approach is showcased with simulated data for various dipole orientations, and parameter settings realistic for real life experiments.","url_abs":"https://arxiv.org/abs/2104.02449v1","url_pdf":"https://arxiv.org/pdf/2104.02449v1.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":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"robust-and-bias-free-localization-of","repo_url":"https://github.com/schuetzgroup/localizationFixedDipoles","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}