{"id":"https://openalex.org/W1565406389","doi":"https://doi.org/10.1007/3-540-45986-3_2","title":"XPMaps and Topological Segmentation - A Unified Approach to Finite Topologies in the Plane","display_name":"XPMaps and Topological Segmentation - A Unified Approach to Finite Topologies in the Plane","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1565406389","doi":"https://doi.org/10.1007/3-540-45986-3_2","mag":"1565406389"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45986-3_2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-45986-3_2","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-45986-3_2.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-45986-3_2.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110454166","display_name":"Ullrich K\u00f6the","orcid":null},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ullrich K\u00f6the","raw_affiliation_strings":["Cognitive Systems Group, University of Hamburg, Hamburg","UNIVERSITY OF HAMBURG"],"affiliations":[{"raw_affiliation_string":"Cognitive Systems Group, University of Hamburg, Hamburg","institution_ids":["https://openalex.org/I159176309"]},{"raw_affiliation_string":"UNIVERSITY OF HAMBURG","institution_ids":["https://openalex.org/I159176309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110454166"],"corresponding_institution_ids":["https://openalex.org/I159176309"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.0025,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.77033493,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"22","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9998999834060669,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9962999820709229,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9883000254631042,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5834165811538696},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.5533779859542847},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5502814650535583},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5493004322052002},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.4912824034690857},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4541581869125366},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3515360355377197},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.35121089220046997},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3159233033657074},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23863840103149414},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08992752432823181},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07764682173728943}],"concepts":[{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5834165811538696},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.5533779859542847},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5502814650535583},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5493004322052002},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.4912824034690857},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4541581869125366},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3515360355377197},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35121089220046997},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3159233033657074},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23863840103149414},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08992752432823181},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07764682173728943}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/3-540-45986-3_2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-45986-3_2","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-45986-3_2.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.17.9249","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.17.9249","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://kogs-www.informatik.uni-hamburg.de/~koethe/papers/TopologicalRepresentationsRelationshipsLong.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.18.264","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.18.264","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://kogs-www.informatik.uni-hamburg.de/~koethe/papers/TopologicalRepresentationsRelationshipsPrint.ps.gz","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/3-540-45986-3_2","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-45986-3_2","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-45986-3_2.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1565406389.pdf","grobid_xml":"https://content.openalex.org/works/W1565406389.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1513282941","https://openalex.org/W1964824815","https://openalex.org/W2018026486","https://openalex.org/W2048095461","https://openalex.org/W2059029870","https://openalex.org/W2073899708","https://openalex.org/W2084887209","https://openalex.org/W2086860590","https://openalex.org/W2102664288","https://openalex.org/W2114748206","https://openalex.org/W2172512648","https://openalex.org/W2799004609","https://openalex.org/W3147248143"],"related_works":["https://openalex.org/W4379231730","https://openalex.org/W4389858081","https://openalex.org/W4324315429","https://openalex.org/W2501551404","https://openalex.org/W4385583601","https://openalex.org/W4298131179","https://openalex.org/W2113201962","https://openalex.org/W2799953226","https://openalex.org/W4366343436","https://openalex.org/W3204400600"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
