{"day":"24","status":"public","abstract":[{"lang":"eng","text":"We introduce the notion of a Faustian interchange in a 1-parameter family of smooth\r\nfunctions to generalize the medial axis to critical points of index larger than 0.\r\nWe construct and implement a general purpose algorithm for approximating such\r\ngeneralized medial axes."}],"date_updated":"2024-02-26T23:30:04Z","supervisor":[{"full_name":"Edelsbrunner, Herbert","orcid":"0000-0002-9823-6833","first_name":"Herbert","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"}],"degree_awarded":"MS","has_accepted_license":"1","article_processing_charge":"No","date_published":"2023-08-24T00:00:00Z","year":"2023","file":[{"relation":"source_file","date_updated":"2024-02-26T23:30:03Z","content_type":"application/x-zip-compressed","file_name":"documents-export-2023-08-24.zip","date_created":"2023-08-24T13:02:49Z","file_size":15501411,"checksum":"453caf851d75c3478c10ed09bd242a91","creator":"cchlebak","access_level":"closed","file_id":"14227","embargo_to":"open_access"},{"relation":"main_file","file_size":6854783,"file_name":"thesis_pdf_a.pdf","date_created":"2023-08-24T13:03:42Z","date_updated":"2024-02-26T23:30:03Z","content_type":"application/pdf","creator":"cchlebak","checksum":"7349d29963d6695e555e171748648d9a","embargo":"2024-02-25","file_id":"14228","access_level":"open_access"}],"ddc":["500"],"date_created":"2023-08-24T13:01:18Z","alternative_title":["ISTA Master's Thesis"],"department":[{"_id":"GradSch"},{"_id":"HeEd"}],"page":"43","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","author":[{"orcid":"0000-0002-6862-208X","first_name":"Elizabeth R","full_name":"Stephenson, Elizabeth R","last_name":"Stephenson","id":"2D04F932-F248-11E8-B48F-1D18A9856A87"}],"file_date_updated":"2024-02-26T23:30:03Z","language":[{"iso":"eng"}],"publication_status":"published","publisher":"Institute of Science and Technology Austria","oa":1,"type":"dissertation","citation":{"apa":"Stephenson, E. R. (2023). <i>Generalizing medial axes with homology switches</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:14226\">https://doi.org/10.15479/at:ista:14226</a>","short":"E.R. Stephenson, Generalizing Medial Axes with Homology Switches, Institute of Science and Technology Austria, 2023.","chicago":"Stephenson, Elizabeth R. “Generalizing Medial Axes with Homology Switches.” Institute of Science and Technology Austria, 2023. <a href=\"https://doi.org/10.15479/at:ista:14226\">https://doi.org/10.15479/at:ista:14226</a>.","ieee":"E. R. Stephenson, “Generalizing medial axes with homology switches,” Institute of Science and Technology Austria, 2023.","mla":"Stephenson, Elizabeth R. <i>Generalizing Medial Axes with Homology Switches</i>. Institute of Science and Technology Austria, 2023, doi:<a href=\"https://doi.org/10.15479/at:ista:14226\">10.15479/at:ista:14226</a>.","ama":"Stephenson ER. Generalizing medial axes with homology switches. 2023. doi:<a href=\"https://doi.org/10.15479/at:ista:14226\">10.15479/at:ista:14226</a>","ista":"Stephenson ER. 2023. Generalizing medial axes with homology switches. Institute of Science and Technology Austria."},"oa_version":"Published Version","month":"08","title":"Generalizing medial axes with homology switches","_id":"14226","doi":"10.15479/at:ista:14226","publication_identifier":{"issn":["2791-4585"]}}