{"id":"https://openalex.org/W2029538563","doi":"https://doi.org/10.1016/0167-8655(94)90157-0","title":"Strong and weak convex hulls in non-Euclidean metric: theory and application","display_name":"Strong and weak convex hulls in non-Euclidean metric: theory and application","publication_year":1994,"publication_date":"1994-09-01","ids":{"openalex":"https://openalex.org/W2029538563","doi":"https://doi.org/10.1016/0167-8655(94)90157-0","mag":"2029538563"},"language":"en","primary_location":{"id":"doi:10.1016/0167-8655(94)90157-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8655(94)90157-0","pdf_url":null,"source":{"id":"https://openalex.org/S151820558","display_name":"Pattern Recognition Letters","issn_l":"0167-8655","issn":["0167-8655","1872-7344"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pattern Recognition Letters","raw_type":"journal-article"},"type":"article","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/A5079034254","display_name":"Michel Schmitt","orcid":"https://orcid.org/0000-0002-5003-1062"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Michel Schmitt","raw_affiliation_strings":["Thomson-CSF, L.C.R., Domain de Corbeville, F-91404 Orsay-Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Thomson-CSF, L.C.R., Domain de Corbeville, F-91404 Orsay-Cedex, France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019192130","display_name":"Juliette Mattioli","orcid":"https://orcid.org/0000-0001-9775-2716"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Juliette Mattioli","raw_affiliation_strings":["Thomson-CSF, L.C.R., Domain de Corbeville, F-91404 Orsay-Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Thomson-CSF, L.C.R., Domain de Corbeville, F-91404 Orsay-Cedex, France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5079034254"],"corresponding_institution_ids":[],"apc_list":{"value":2270,"currency":"USD","value_usd":2270},"apc_paid":null,"fwci":2.6238,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.89196284,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"9","first_page":"943","last_page":"947"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9817000031471252,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9581000208854675,"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/convex-hull","display_name":"Convex hull","score":0.7586019039154053},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7491632103919983},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.7484119534492493},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.731696367263794},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6255428791046143},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.6072015166282654},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.49931883811950684},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.48020896315574646},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.472396582365036},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4289090633392334},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4263512194156647},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3016500771045685},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25916188955307007}],"concepts":[{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.7586019039154053},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7491632103919983},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7484119534492493},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.731696367263794},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6255428791046143},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.6072015166282654},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.49931883811950684},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.48020896315574646},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.472396582365036},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4289090633392334},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4263512194156647},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3016500771045685},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25916188955307007},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C199104240","wikidata":"https://www.wikidata.org/wiki/Q118291","display_name":"Marine engineering","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0167-8655(94)90157-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8655(94)90157-0","pdf_url":null,"source":{"id":"https://openalex.org/S151820558","display_name":"Pattern Recognition Letters","issn_l":"0167-8655","issn":["0167-8655","1872-7344"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pattern Recognition Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1593939129","https://openalex.org/W2062835215","https://openalex.org/W2164741953","https://openalex.org/W2731455608","https://openalex.org/W4285719527","https://openalex.org/W6741095248"],"related_works":["https://openalex.org/W2025606465","https://openalex.org/W4226280031","https://openalex.org/W2090152127","https://openalex.org/W2169691698","https://openalex.org/W2008939113","https://openalex.org/W1965169884","https://openalex.org/W3125580510","https://openalex.org/W14679004","https://openalex.org/W1566651525","https://openalex.org/W2977652649"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
