{"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","publication_identifier":{"issn":["2791-4585"]},"type":"dissertation","has_accepted_license":"1","language":[{"iso":"eng"}],"oa_version":"Published Version","file":[{"file_id":"14227","embargo_to":"open_access","creator":"cchlebak","date_updated":"2024-02-26T23:30:03Z","relation":"source_file","file_size":15501411,"checksum":"453caf851d75c3478c10ed09bd242a91","file_name":"documents-export-2023-08-24.zip","access_level":"closed","content_type":"application/x-zip-compressed","date_created":"2023-08-24T13:02:49Z"},{"checksum":"7349d29963d6695e555e171748648d9a","file_name":"thesis_pdf_a.pdf","embargo":"2024-02-25","access_level":"open_access","date_created":"2023-08-24T13:03:42Z","content_type":"application/pdf","creator":"cchlebak","file_id":"14228","file_size":6854783,"relation":"main_file","date_updated":"2024-02-26T23:30:03Z"}],"ddc":["500"],"oa":1,"doi":"10.15479/at:ista:14226","date_published":"2023-08-24T00:00:00Z","status":"public","_id":"14226","abstract":[{"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.","lang":"eng"}],"citation":{"short":"E.R. Stephenson, Generalizing Medial Axes with Homology Switches, Institute of Science and Technology Austria, 2023.","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>.","ista":"Stephenson ER. 2023. Generalizing medial axes with homology switches. Institute of Science and Technology Austria.","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>.","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>","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>"},"department":[{"_id":"GradSch"},{"_id":"HeEd"}],"author":[{"last_name":"Stephenson","id":"2D04F932-F248-11E8-B48F-1D18A9856A87","full_name":"Stephenson, Elizabeth R","orcid":"0000-0002-6862-208X","first_name":"Elizabeth R"}],"title":"Generalizing medial axes with homology switches","date_updated":"2024-10-09T21:06:44Z","degree_awarded":"MS","article_processing_charge":"No","file_date_updated":"2024-02-26T23:30:03Z","year":"2023","alternative_title":["ISTA Master's Thesis"],"publication_status":"published","month":"08","corr_author":"1","date_created":"2023-08-24T13:01:18Z","supervisor":[{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","last_name":"Edelsbrunner","first_name":"Herbert","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert"}],"day":"24","page":"43","publisher":"Institute of Science and Technology Austria"}