{"id":"https://openalex.org/W1536470053","doi":"https://doi.org/10.1007/978-3-319-17142-5_30","title":"Uniformity of Point Samples in Metric Spaces Using Gap Ratio","display_name":"Uniformity of Point Samples in Metric Spaces Using Gap Ratio","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1536470053","doi":"https://doi.org/10.1007/978-3-319-17142-5_30","mag":"1536470053"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-17142-5_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-17142-5_30","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/A5101865694","display_name":"Arijit Bishnu","orcid":"https://orcid.org/0000-0003-0018-7314"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Arijit Bishnu","raw_affiliation_strings":["ACM Unit, Indian Statistical Institute, Kolkata, India"],"affiliations":[{"raw_affiliation_string":"ACM Unit, Indian Statistical Institute, Kolkata, India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015530912","display_name":"Sameer Desai","orcid":null},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sameer Desai","raw_affiliation_strings":["ACM Unit, Indian Statistical Institute, Kolkata, India"],"affiliations":[{"raw_affiliation_string":"ACM Unit, Indian Statistical Institute, Kolkata, India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101861796","display_name":"Arijit Ghosh","orcid":"https://orcid.org/0000-0002-2821-265X"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Arijit Ghosh","raw_affiliation_strings":["MPI for Informatics, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"MPI for Informatics, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080620426","display_name":"Mayank Goswami","orcid":"https://orcid.org/0000-0001-8829-9980"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Mayank Goswami","raw_affiliation_strings":["MPI for Informatics, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"MPI for Informatics, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100555657","display_name":"Subhabrata Paul","orcid":"https://orcid.org/0000-0001-7236-7512"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Subhabrata Paul","raw_affiliation_strings":["ACM Unit, Indian Statistical Institute, Kolkata, India"],"affiliations":[{"raw_affiliation_string":"ACM Unit, Indian Statistical Institute, Kolkata, India","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101865694"],"corresponding_institution_ids":["https://openalex.org/I6498739"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.8758,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.80952381,"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":"347","last_page":"358"},"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":0.9988999962806702,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9987999796867371,"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/metric","display_name":"Metric (unit)","score":0.7438805103302002},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.7067105770111084},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6843307614326477},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6318975687026978},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6231374740600586},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.6030733585357666},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5916262269020081},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.5495110154151917},{"id":"https://openalex.org/keywords/convex-metric-space","display_name":"Convex metric space","score":0.5482956171035767},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5089981555938721},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4863796532154083},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.47865402698516846},{"id":"https://openalex.org/keywords/product-metric","display_name":"Product metric","score":0.46364322304725647},{"id":"https://openalex.org/keywords/intrinsic-metric","display_name":"Intrinsic metric","score":0.4353587329387665},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40171578526496887},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.354175865650177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27909260988235474},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27179911732673645},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11354526877403259},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.061958521604537964}],"concepts":[{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.7438805103302002},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.7067105770111084},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6843307614326477},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6318975687026978},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6231374740600586},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.6030733585357666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5916262269020081},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.5495110154151917},{"id":"https://openalex.org/C196613150","wikidata":"https://www.wikidata.org/wiki/Q3966092","display_name":"Convex metric space","level":3,"score":0.5482956171035767},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5089981555938721},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4863796532154083},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.47865402698516846},{"id":"https://openalex.org/C154497576","wikidata":"https://www.wikidata.org/wiki/Q7247777","display_name":"Product metric","level":3,"score":0.46364322304725647},{"id":"https://openalex.org/C41261874","wikidata":"https://www.wikidata.org/wiki/Q3855712","display_name":"Intrinsic metric","level":4,"score":0.4353587329387665},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40171578526496887},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.354175865650177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27909260988235474},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27179911732673645},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11354526877403259},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.061958521604537964},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-17142-5_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-17142-5_30","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1498344748","https://openalex.org/W1507831825","https://openalex.org/W1518527396","https://openalex.org/W1518816409","https://openalex.org/W1599814229","https://openalex.org/W1970219143","https://openalex.org/W1973264045","https://openalex.org/W1975434639","https://openalex.org/W1976645854","https://openalex.org/W1979675141","https://openalex.org/W1981114840","https://openalex.org/W1992264107","https://openalex.org/W2011039300","https://openalex.org/W2018506582","https://openalex.org/W2022054056","https://openalex.org/W2040603112","https://openalex.org/W2044576564","https://openalex.org/W2045397582","https://openalex.org/W2061779282","https://openalex.org/W2072436449","https://openalex.org/W2077985535","https://openalex.org/W2149906774","https://openalex.org/W2165864598","https://openalex.org/W2462986379","https://openalex.org/W2951641334","https://openalex.org/W3035896063","https://openalex.org/W4249137521","https://openalex.org/W4251391716"],"related_works":["https://openalex.org/W2977666128","https://openalex.org/W1974232888","https://openalex.org/W2090072785","https://openalex.org/W2082940521","https://openalex.org/W2381913130","https://openalex.org/W1536470053","https://openalex.org/W2025259401","https://openalex.org/W3021987287","https://openalex.org/W2362167160","https://openalex.org/W2146991591"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
