{"id":"https://openalex.org/W4415477571","doi":"https://doi.org/10.1007/s00454-025-00769-8","title":"Efficient Computation of Image Persistence","display_name":"Efficient Computation of Image Persistence","publication_year":2025,"publication_date":"2025-10-23","ids":{"openalex":"https://openalex.org/W4415477571","doi":"https://doi.org/10.1007/s00454-025-00769-8"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-025-00769-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-025-00769-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-025-00769-8.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-025-00769-8.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061971793","display_name":"Ulrich Bauer","orcid":"https://orcid.org/0000-0002-9683-0724"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ulrich Bauer","raw_affiliation_strings":["TUM School of Computation, Information and Technology, Department of Mathematics, Munich Data Science Institute (MDSI), Munich Center for Machine Learning (MCML), Technical University of Munich, Munich, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9683-0724","affiliations":[{"raw_affiliation_string":"TUM School of Computation, Information and Technology, Department of Mathematics, Munich Data Science Institute (MDSI), Munich Center for Machine Learning (MCML), Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014952280","display_name":"Maximilian Schmahl","orcid":null},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Maximilian Schmahl","raw_affiliation_strings":["Heidelberg University, Heidelberg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Heidelberg University, Heidelberg, Germany","institution_ids":["https://openalex.org/I223822909"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061971793"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.29792548,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"74","issue":"4","first_page":"999","last_page":"1019"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T12859","display_name":"Cell Image Analysis Techniques","score":0.9865999817848206,"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"}},{"id":"https://openalex.org/T10540","display_name":"Advanced Fluorescence Microscopy Techniques","score":0.9732999801635742,"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":0.8568000197410583},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.5598999857902527},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5266000032424927},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.49000000953674316},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.46869999170303345},{"id":"https://openalex.org/keywords/barcode","display_name":"Barcode","score":0.4480000138282776},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.44130000472068787},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.41350001096725464}],"concepts":[{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.8568000197410583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7181000113487244},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.5598999857902527},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5266000032424927},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.49000000953674316},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.46869999170303345},{"id":"https://openalex.org/C2776841711","wikidata":"https://www.wikidata.org/wiki/Q856","display_name":"Barcode","level":2,"score":0.4480000138282776},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.44130000472068787},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.41350001096725464},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.387800008058548},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.37929999828338623},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.36419999599456787},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.3400000035762787},{"id":"https://openalex.org/C139962677","wikidata":"https://www.wikidata.org/wiki/Q1095056","display_name":"Singular homology","level":3,"score":0.32760000228881836},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3100000023841858},{"id":"https://openalex.org/C181576044","wikidata":"https://www.wikidata.org/wiki/Q4129926","display_name":"Computational topology","level":3,"score":0.3021000027656555},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.299699991941452},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.29409998655319214},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.2939000129699707},{"id":"https://openalex.org/C2776055716","wikidata":"https://www.wikidata.org/wiki/Q7316893","display_name":"Retract","level":2,"score":0.2879999876022339},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28619998693466187},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2678999900817871},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26489999890327454}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-025-00769-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-025-00769-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-025-00769-8.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-025-00769-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-025-00769-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-025-00769-8.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4438527755","display_name":null,"funder_award_id":"SFB/TRR 109","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G470993797","display_name":null,"funder_award_id":"SFB/TRR 191","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5799870741","display_name":null,"funder_award_id":"281869850","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6494472948","display_name":null,"funder_award_id":"281071066","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6526081583","display_name":null,"funder_award_id":"EXC 2181","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6773318802","display_name":null,"funder_award_id":"TRR 109","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7105266721","display_name":null,"funder_award_id":"390900948","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7278058915","display_name":null,"funder_award_id":"RTG 2229","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G822936381","display_name":null,"funder_award_id":"195170736","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4415477571.pdf"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1596721197","https://openalex.org/W2009940349","https://openalex.org/W2037613900","https://openalex.org/W2046665435","https://openalex.org/W2102692026","https://openalex.org/W2546347714","https://openalex.org/W2963809284","https://openalex.org/W2964292054","https://openalex.org/W2964534207","https://openalex.org/W2978005227","https://openalex.org/W3120766012","https://openalex.org/W3207066803","https://openalex.org/W4250576551","https://openalex.org/W4254375530","https://openalex.org/W4399984274"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1],"present":[2],"an":[3,20,94],"algorithm":[4,28],"for":[5,50,93,100],"computing":[6],"the":[7,10,32,64,77,91,108,111],"barcode":[8],"of":[9,12,22,31,52,54,66,79,96,102,104,110],"image":[11,97],"a":[13],"morphism":[14],"in":[15,42,63,81,86,107],"persistent":[16,43,47],"homology":[17,45],"induced":[18],"by":[19],"inclusion":[21],"filtered":[23],"finite-dimensional":[24],"chain":[25],"complexes.":[26,56],"The":[27,57],"makes":[29],"use":[30],"clearing":[33,58],"optimization":[34,59],"and":[35,46,69],"can":[36,75],"be":[37],"applied":[38],"to":[39,84],"inclusion-induced":[40],"maps":[41],"absolute":[44,87],"relative":[48,67,82],"cohomology":[49,83],"filtrations":[51,103],"pairs":[53],"simplicial":[55],"works":[60],"particularly":[61],"well":[62],"context":[65],"cohomology,":[68],"using":[70],"previous":[71],"duality":[72],"results":[73],"we":[74],"translate":[76],"barcodes":[78],"images":[80],"those":[85],"homology.":[88],"This":[89],"forms":[90],"basis":[92],"implementation":[95],"persistence":[98],"computations":[99],"inclusions":[101],"Vietoris\u2013Rips":[105],"complexes":[106],"framework":[109],"software":[112],"Ripser.":[113]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-23T00:00:00"}