{"id":"https://openalex.org/W2091006082","doi":"https://doi.org/10.1109/icip.2014.7025987","title":"Morse theory and persistent homology for topological analysis of 3D images of complex materials","display_name":"Morse theory and persistent homology for topological analysis of 3D images of complex materials","publication_year":2014,"publication_date":"2014-10-01","ids":{"openalex":"https://openalex.org/W2091006082","doi":"https://doi.org/10.1109/icip.2014.7025987","mag":"2091006082"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2014.7025987","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2014.7025987","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066088486","display_name":"Olaf Delgado\u2010Friedrichs","orcid":"https://orcid.org/0000-0001-8034-5057"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Olaf Delgado-Friedrichs","raw_affiliation_strings":["Department of Applied Mathematics Research, The Australian National University, Canberra","Department of Applied Mathematics, Research School of Physics and Engineering, The Australian National University, Canberra ACT 0200"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics Research, The Australian National University, Canberra","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Department of Applied Mathematics, Research School of Physics and Engineering, The Australian National University, Canberra ACT 0200","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055608145","display_name":"Vanessa Robins","orcid":"https://orcid.org/0000-0001-7118-8491"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Vanessa Robins","raw_affiliation_strings":["Department of Applied Mathematics Research, The Australian National University, Canberra","Department of Applied Mathematics, Research School of Physics and Engineering, The Australian National University, Canberra ACT 0200"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics Research, The Australian National University, Canberra","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Department of Applied Mathematics, Research School of Physics and Engineering, The Australian National University, Canberra ACT 0200","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007352291","display_name":"Adrian Sheppard","orcid":"https://orcid.org/0000-0001-9792-4143"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Adrian Sheppard","raw_affiliation_strings":["Department of Applied Mathematics Research, The Australian National University, Canberra","Department of Applied Mathematics, Research School of Physics and Engineering, The Australian National University, Canberra ACT 0200"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics Research, The Australian National University, Canberra","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"Department of Applied Mathematics, Research School of Physics and Engineering, The Australian National University, Canberra ACT 0200","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4872","last_page":"4876"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12859","display_name":"Cell Image Analysis Techniques","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.8883686065673828},{"id":"https://openalex.org/keywords/discrete-morse-theory","display_name":"Discrete Morse theory","score":0.871300458908081},{"id":"https://openalex.org/keywords/morse-theory","display_name":"Morse theory","score":0.831802248954773},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.8050073385238647},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5012485980987549},{"id":"https://openalex.org/keywords/signed-distance-function","display_name":"Signed distance function","score":0.4792470932006836},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.471227765083313},{"id":"https://openalex.org/keywords/topological-skeleton","display_name":"Topological skeleton","score":0.4604848325252533},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.4528461694717407},{"id":"https://openalex.org/keywords/morse-code","display_name":"Morse code","score":0.4347434639930725},{"id":"https://openalex.org/keywords/vector-flow","display_name":"Vector flow","score":0.4221649467945099},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.4004693031311035},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3582736849784851},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3567766547203064},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31455206871032715},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20172306895256042},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0954689085483551}],"concepts":[{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.8883686065673828},{"id":"https://openalex.org/C170315498","wikidata":"https://www.wikidata.org/wiki/Q5282039","display_name":"Discrete Morse theory","level":3,"score":0.871300458908081},{"id":"https://openalex.org/C156730297","wikidata":"https://www.wikidata.org/wiki/Q2296951","display_name":"Morse theory","level":2,"score":0.831802248954773},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.8050073385238647},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5012485980987549},{"id":"https://openalex.org/C71169176","wikidata":"https://www.wikidata.org/wiki/Q7512907","display_name":"Signed distance function","level":2,"score":0.4792470932006836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.471227765083313},{"id":"https://openalex.org/C112785775","wikidata":"https://www.wikidata.org/wiki/Q786441","display_name":"Topological skeleton","level":4,"score":0.4604848325252533},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.4528461694717407},{"id":"https://openalex.org/C140031139","wikidata":"https://www.wikidata.org/wiki/Q79897","display_name":"Morse code","level":2,"score":0.4347434639930725},{"id":"https://openalex.org/C20749125","wikidata":"https://www.wikidata.org/wiki/Q7917826","display_name":"Vector flow","level":4,"score":0.4221649467945099},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.4004693031311035},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3582736849784851},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3567766547203064},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31455206871032715},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20172306895256042},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0954689085483551},{"id":"https://openalex.org/C129641003","wikidata":"https://www.wikidata.org/wiki/Q267189","display_name":"Active shape model","level":3,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icip.2014.7025987","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2014.7025987","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-article"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/30849","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/30849","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 2014 IEEE International Conference on Image Processing (ICIP)","raw_type":"Conference paper"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6299999952316284,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1557956199","https://openalex.org/W1558576290","https://openalex.org/W1995215698","https://openalex.org/W1997709480","https://openalex.org/W2029833645","https://openalex.org/W2049240828","https://openalex.org/W2053798192","https://openalex.org/W2059977925","https://openalex.org/W2064020260","https://openalex.org/W2068014716","https://openalex.org/W2086860590","https://openalex.org/W2104284394","https://openalex.org/W2107994006","https://openalex.org/W2111783137","https://openalex.org/W2124260943","https://openalex.org/W2131262506","https://openalex.org/W2132131517","https://openalex.org/W2146019744","https://openalex.org/W2159329531","https://openalex.org/W2346033130","https://openalex.org/W3013741643","https://openalex.org/W3099248470","https://openalex.org/W3106485825","https://openalex.org/W3140579943","https://openalex.org/W4211033840","https://openalex.org/W4251431888","https://openalex.org/W4308689907","https://openalex.org/W6649246411","https://openalex.org/W6775610265","https://openalex.org/W6846734499"],"related_works":["https://openalex.org/W3104241874","https://openalex.org/W2052322350","https://openalex.org/W4386275707","https://openalex.org/W4321471594","https://openalex.org/W4389072741","https://openalex.org/W2002165972","https://openalex.org/W3128574906","https://openalex.org/W3214553362","https://openalex.org/W4382323392","https://openalex.org/W2091006082"],"abstract_inverted_index":{"We":[0],"develop":[1],"topologically":[2],"accurate":[3],"and":[4,10,50,57,84],"compatible":[5],"definitions":[6,26],"for":[7],"the":[8],"skeleton":[9],"watershed":[11],"segmentation":[12],"of":[13,81],"a":[14,22,30,37,59],"3D":[15],"digital":[16],"object":[17],"that":[18,61],"are":[19,27],"computed":[20],"by":[21],"single":[23],"algorithm.":[24],"These":[25],"based":[28],"on":[29],"discrete":[31,54],"gradient":[32,42],"vector":[33,43],"field":[34,44],"derived":[35],"from":[36],"signed":[38],"distance":[39],"transform.":[40],"This":[41],"is":[45],"amenable":[46],"to":[47,67,75],"topological":[48],"analysis":[49],"simplification":[51],"via":[52],"For-man's":[53],"Morse":[55],"theory":[56],"provides":[58],"filtration":[60],"can":[62],"be":[63],"used":[64],"as":[65],"input":[66],"persistent":[68],"homology":[69],"algorithms.":[70],"Efficient":[71],"implementations":[72],"allow":[73],"us":[74],"process":[76],"large-scale":[77],"x-ray":[78],"micro-CT":[79],"data":[80],"rock":[82],"cores":[83],"other":[85],"materials.":[86]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2016-06-24T00:00:00"}