{"id":"https://openalex.org/W2137815516","doi":"https://doi.org/10.1007/978-3-642-03367-4_20","title":"Finding a Hausdorff Core of a Polygon: On Convex Polygon Containment with Bounded Hausdorff Distance","display_name":"Finding a Hausdorff Core of a Polygon: On Convex Polygon Containment with Bounded Hausdorff Distance","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2137815516","doi":"https://doi.org/10.1007/978-3-642-03367-4_20","mag":"2137815516"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-03367-4_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03367-4_20","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014720258","display_name":"Reza Dorrigiv","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Reza Dorrigiv","raw_affiliation_strings":["Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068826527","display_name":"St\u00e9phane Durocher","orcid":"https://orcid.org/0000-0002-6589-3538"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Stephane Durocher","raw_affiliation_strings":["Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada","Department of Computer Science, University of Manitoba, Winnipeg, Canada"],"affiliations":[{"raw_affiliation_string":"Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Department of Computer Science, University of Manitoba, Winnipeg, Canada","institution_ids":["https://openalex.org/I46247651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038736162","display_name":"Arash Farzan","orcid":"https://orcid.org/0000-0002-4964-9076"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Arash Farzan","raw_affiliation_strings":["Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002714515","display_name":"Robert Fraser","orcid":"https://orcid.org/0000-0003-3771-4544"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Robert Fraser","raw_affiliation_strings":["Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089947217","display_name":"Alejandro L\u00f3pez-Ort\u00edz","orcid":"https://orcid.org/0000-0003-2671-6173"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Alejandro L\u00f3pez-Ortiz","raw_affiliation_strings":["Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108095454","display_name":"J. Ian Munro","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J. Ian Munro","raw_affiliation_strings":["Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046401766","display_name":"Alejandro Salinger","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Alejandro Salinger","raw_affiliation_strings":["Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030735245","display_name":"Matthew Skala","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]},{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Matthew Skala","raw_affiliation_strings":["Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada","Department of Computer Science, University of Toronto, Toronto, Canada"],"affiliations":[{"raw_affiliation_string":"Cheriton School of Computer Science, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Department of Computer Science, University of Toronto, Toronto, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5014720258"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.9565,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76384365,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"218","last_page":"229"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.993399977684021,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/hausdorff-distance","display_name":"Hausdorff distance","score":0.7837945818901062},{"id":"https://openalex.org/keywords/hausdorff-space","display_name":"Hausdorff space","score":0.7276738882064819},{"id":"https://openalex.org/keywords/polygon-covering","display_name":"Polygon covering","score":0.655768632888794},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.60834801197052},{"id":"https://openalex.org/keywords/rectilinear-polygon","display_name":"Rectilinear polygon","score":0.5800963044166565},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5213497877120972},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5210984945297241},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5152009129524231},{"id":"https://openalex.org/keywords/krein\u2013milman-theorem","display_name":"Krein\u2013Milman theorem","score":0.472829669713974},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.43614470958709717},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.4159848392009735},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.41572582721710205},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36777329444885254},{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.28167760372161865},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.2526020109653473},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25241032242774963},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2457214891910553},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1605178415775299},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06941893696784973}],"concepts":[{"id":"https://openalex.org/C141898687","wikidata":"https://www.wikidata.org/wiki/Q1501997","display_name":"Hausdorff distance","level":2,"score":0.7837945818901062},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.7276738882064819},{"id":"https://openalex.org/C187778580","wikidata":"https://www.wikidata.org/wiki/Q18389289","display_name":"Polygon covering","level":3,"score":0.655768632888794},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.60834801197052},{"id":"https://openalex.org/C170542616","wikidata":"https://www.wikidata.org/wiki/Q7303186","display_name":"Rectilinear polygon","level":4,"score":0.5800963044166565},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5213497877120972},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5210984945297241},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5152009129524231},{"id":"https://openalex.org/C173688413","wikidata":"https://www.wikidata.org/wiki/Q642620","display_name":"Krein\u2013Milman theorem","level":5,"score":0.472829669713974},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.43614470958709717},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.4159848392009735},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.41572582721710205},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36777329444885254},{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.28167760372161865},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.2526020109653473},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25241032242774963},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2457214891910553},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1605178415775299},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06941893696784973},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"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":3,"locations":[{"id":"doi:10.1007/978-3-642-03367-4_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03367-4_20","pdf_url":null,"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:10.1.1.230.95","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.230.95","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.uwaterloo.ca/%7Eajsaling/papers/hausdorffCorePre.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.510.8382","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.510.8382","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.umanitoba.ca/~durocher/research/pubs/durocherWADS2009.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6299999952316284,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1026161419","https://openalex.org/W1592173722","https://openalex.org/W2021908165","https://openalex.org/W2022366735","https://openalex.org/W2039808260","https://openalex.org/W2040178277","https://openalex.org/W2055257826","https://openalex.org/W2062138633","https://openalex.org/W2071857538","https://openalex.org/W2072695444","https://openalex.org/W2073328808","https://openalex.org/W2105235982","https://openalex.org/W2126876121","https://openalex.org/W2147350624","https://openalex.org/W2157703255","https://openalex.org/W2165968314","https://openalex.org/W2483428759","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2466150543","https://openalex.org/W4292219087","https://openalex.org/W3157966405","https://openalex.org/W4287184648","https://openalex.org/W2383324767","https://openalex.org/W3184287481","https://openalex.org/W2165083794","https://openalex.org/W2020550704","https://openalex.org/W2137815516","https://openalex.org/W1938473727"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2013,"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"}
