{"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/blind-ptychography-by-douglas-rachford","title":"Blind Ptychography by Douglas-Rachford Splitting","arxiv_id":"1809.00962","date":"2018-08-26","proceeding":null,"authors":["A. Fannjiang","Z. Zhang"],"abstract":"Blind ptychography is the scanning version of coherent diffractive imaging\nwhich seeks to recover both the object and the probe simultaneously. Based on\nalternating minimization by Douglas-Rachford splitting, AMDRS is a blind\nptychographic algorithm informed by the uniqueness theory, the Poisson noise\nmodel and the stability analysis. Enhanced by the initialization method and the\nuse of a randomly phased mask, AMDRS converges globally and geometrically.\nThree boundary conditions are considered in the simulations: periodic,\ndark-field and bright-field boundary conditions. The dark-field boundary\ncondition is suited for isolated objects while the bright-field boundary\ncondition is for non-isolated objects. The periodic boundary condition is a\nmathematically convenient reference point. Depending on the avail- ability of\nthe boundary prior the dark-field and the bright-field boundary conditions may\nor may not be enforced in the reconstruction. Not surprisingly, enforcing the\nboundary condition improves the rate of convergence, sometimes in a significant\nway. Enforcing the bright-field condition in the reconstruction can also remove\nthe linear phase ambiguity.","url_abs":"http://arxiv.org/abs/1809.00962v3","url_pdf":"http://arxiv.org/pdf/1809.00962v3.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":"blind-ptychography-by-douglas-rachford","repo_url":"https://github.com/AnotherdayBeaux/Blind_Ptychography_GUI","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}