{"id":"https://openalex.org/W1968310065","doi":"https://doi.org/10.1007/s00454-009-9240-9","title":"Approximating the Pathway Axis and the Persistence Diagrams for a Collection of Balls in 3-Space","display_name":"Approximating the Pathway Axis and the Persistence Diagrams for a Collection of Balls in 3-Space","publication_year":2010,"publication_date":"2010-01-12","ids":{"openalex":"https://openalex.org/W1968310065","doi":"https://doi.org/10.1007/s00454-009-9240-9","mag":"1968310065"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-009-9240-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-009-9240-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-009-9240-9.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":null,"license_id":null,"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":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-009-9240-9.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058486161","display_name":"Eitan Yaffe","orcid":"https://orcid.org/0000-0002-2896-3349"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Eitan Yaffe","raw_affiliation_strings":["School of Computer Science, Tel-Aviv University, Tel-Aviv, Israel","Tel Aviv University,School of Computer Science,Tel Aviv,Israel"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Tel-Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel Aviv University,School of Computer Science,Tel Aviv,Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038503253","display_name":"Dan Halperin","orcid":"https://orcid.org/0000-0002-3345-3765"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Dan Halperin","raw_affiliation_strings":["School of Computer Science, Tel-Aviv University, Tel-Aviv, Israel","Tel Aviv University,School of Computer Science,Tel Aviv,Israel"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Tel-Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel Aviv University,School of Computer Science,Tel Aviv,Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058486161"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.6836,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6918809,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"44","issue":"3","first_page":"660","last_page":"685"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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":1.0,"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/T10540","display_name":"Advanced Fluorescence Microscopy Techniques","score":0.9757000207901001,"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/T10799","display_name":"Data Visualization and Analytics","score":0.955299973487854,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7532880306243896},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.729539692401886},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6143205761909485},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5483373999595642},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.49752286076545715},{"id":"https://openalex.org/keywords/hausdorff-space","display_name":"Hausdorff space","score":0.4928619861602783},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4490351676940918},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4254586100578308},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3969147801399231},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1869048774242401},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12052258849143982}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7532880306243896},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.729539692401886},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6143205761909485},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5483373999595642},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.49752286076545715},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.4928619861602783},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4490351676940918},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4254586100578308},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3969147801399231},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1869048774242401},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12052258849143982},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-009-9240-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-009-9240-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-009-9240-9.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":null,"license_id":null,"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/s00454-009-9240-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-009-9240-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-009-9240-9.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":null,"license_id":null,"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/G3572564072","display_name":null,"funder_award_id":"969/07","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G3719603318","display_name":null,"funder_award_id":"969/07","funder_id":"https://openalex.org/F4320322596","funder_display_name":"Tel Aviv University"},{"id":"https://openalex.org/G8067692827","display_name":null,"funder_award_id":"236/06","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G8199961107","display_name":null,"funder_award_id":"236/06","funder_id":"https://openalex.org/F4320322596","funder_display_name":"Tel Aviv University"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320322596","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1968310065.pdf","grobid_xml":"https://content.openalex.org/works/W1968310065.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W269812687","https://openalex.org/W1425488884","https://openalex.org/W1496383623","https://openalex.org/W1521042556","https://openalex.org/W1580997425","https://openalex.org/W1959979995","https://openalex.org/W1967171006","https://openalex.org/W1972159725","https://openalex.org/W1974635207","https://openalex.org/W1980278852","https://openalex.org/W2001887552","https://openalex.org/W2021308246","https://openalex.org/W2021369132","https://openalex.org/W2037162618","https://openalex.org/W2037613900","https://openalex.org/W2039081484","https://openalex.org/W2046305987","https://openalex.org/W2050167630","https://openalex.org/W2051200663","https://openalex.org/W2051752778","https://openalex.org/W2070308679","https://openalex.org/W2073751737","https://openalex.org/W2078290150","https://openalex.org/W2088352159","https://openalex.org/W2110369778","https://openalex.org/W2115332677","https://openalex.org/W2115920764","https://openalex.org/W2122810039","https://openalex.org/W2128607364","https://openalex.org/W2142495952","https://openalex.org/W2387046089","https://openalex.org/W2486762503","https://openalex.org/W2493051178","https://openalex.org/W2614835259","https://openalex.org/W3013843370","https://openalex.org/W6632662963"],"related_works":["https://openalex.org/W2382566571","https://openalex.org/W2349321798","https://openalex.org/W2366686860","https://openalex.org/W3013085049","https://openalex.org/W2350859087","https://openalex.org/W2387118502","https://openalex.org/W4233775131","https://openalex.org/W1560496689","https://openalex.org/W2385263368","https://openalex.org/W4386900933"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}