{"id":"https://openalex.org/W1830651273","doi":"https://doi.org/10.1109/gmap.2002.1027494","title":"The Minkowski sum of two simple surfaces generated by slope-monotone closed curves","display_name":"The Minkowski sum of two simple surfaces generated by slope-monotone closed curves","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W1830651273","doi":"https://doi.org/10.1109/gmap.2002.1027494","mag":"1830651273"},"language":"en","primary_location":{"id":"doi:10.1109/gmap.2002.1027494","is_oa":false,"landing_page_url":"https://doi.org/10.1109/gmap.2002.1027494","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometric Modeling and Processing. Theory and Applications. GMP 2002. Proceedings","raw_type":"proceedings-article"},"type":"conference-paper","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/A5101496440","display_name":"Joon\u2010Kyung Seong","orcid":"https://orcid.org/0000-0001-6291-5415"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Joon-Kyung Seong","raw_affiliation_strings":["School of Computer Science and Engineering, Seoul National University, Seoul, South Korea","Sch. of Comput. Sci. & Eng., Seoul Nat. Univ., South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I139264467"]},{"raw_affiliation_string":"Sch. of Comput. Sci. & Eng., Seoul Nat. Univ., South Korea","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108081111","display_name":"Myung Soo Kim","orcid":"https://orcid.org/0000-0001-8762-1798"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Myung-Soo Kim","raw_affiliation_strings":["School of Computer Science and Engineering, Seoul National University, Seoul, South Korea","Sch. of Comput. Sci. & Eng., Seoul Nat. Univ., South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I139264467"]},{"raw_affiliation_string":"Sch. of Comput. Sci. & Eng., Seoul Nat. Univ., South Korea","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088120934","display_name":"K\u014dkichi Sugihara","orcid":"https://orcid.org/0000-0001-8618-6894"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"K. Sugihara","raw_affiliation_strings":["Department of Mathematical Informatics, University of Tokyo, Tokyo, Japan","The University of Tokyo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics, University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"The University of Tokyo","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":null,"first_page":"33","last_page":"42"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9983999729156494,"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":0.9983999729156494,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.996999979019165,"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/minkowski-space","display_name":"Minkowski space","score":0.831866979598999},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.796303927898407},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.7475367784500122},{"id":"https://openalex.org/keywords/minkowski-addition","display_name":"Minkowski addition","score":0.6528773307800293},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6262779831886292},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6211823225021362},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5012068748474121},{"id":"https://openalex.org/keywords/surface-of-revolution","display_name":"Surface of revolution","score":0.46723705530166626},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4520565867424011},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4155474603176117},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3584480285644531},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3257065415382385},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32413116097450256},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20091435313224792},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.066051185131073}],"concepts":[{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.831866979598999},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.796303927898407},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7475367784500122},{"id":"https://openalex.org/C10233890","wikidata":"https://www.wikidata.org/wiki/Q1322294","display_name":"Minkowski addition","level":3,"score":0.6528773307800293},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6262779831886292},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6211823225021362},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5012068748474121},{"id":"https://openalex.org/C18157462","wikidata":"https://www.wikidata.org/wiki/Q849425","display_name":"Surface of revolution","level":3,"score":0.46723705530166626},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4520565867424011},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4155474603176117},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3584480285644531},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3257065415382385},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32413116097450256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20091435313224792},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.066051185131073},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/gmap.2002.1027494","is_oa":false,"landing_page_url":"https://doi.org/10.1109/gmap.2002.1027494","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometric Modeling and Processing. Theory and Applications. GMP 2002. Proceedings","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1741872147","https://openalex.org/W1962094193","https://openalex.org/W1968018901","https://openalex.org/W1999056557","https://openalex.org/W1999250663","https://openalex.org/W2000196545","https://openalex.org/W2005102720","https://openalex.org/W2028245985","https://openalex.org/W2030097401","https://openalex.org/W2045026024","https://openalex.org/W2085804021","https://openalex.org/W2086069908","https://openalex.org/W2098328565","https://openalex.org/W2122796818","https://openalex.org/W2126539456","https://openalex.org/W2150500908","https://openalex.org/W2154965507","https://openalex.org/W2161269358","https://openalex.org/W2163178194","https://openalex.org/W2163228497","https://openalex.org/W2443862921"],"related_works":["https://openalex.org/W2286777929","https://openalex.org/W2950428426","https://openalex.org/W4293050169","https://openalex.org/W2025060079","https://openalex.org/W960999769","https://openalex.org/W4309277470","https://openalex.org/W2936973291","https://openalex.org/W4288372977","https://openalex.org/W4211088175","https://openalex.org/W2060108275"],"abstract_inverted_index":{"We":[0],"present":[1,51],"an":[2,42,52,72],"algorithm":[3,54],"for":[4,55],"computing":[5,56],"Minkowski":[6],"sums":[7],"among":[8],"surfaces":[9,13,28,37,79],"of":[10,14,25,32,80],"revolution":[11,81],"and":[12],"linear":[15],"extrusion,":[16],"generated":[17],"by":[18],"slope-monotone":[19],"closed":[20],"curves.":[21],"The":[22],"special":[23],"structure":[24],"these":[26],"simple":[27,61],"allows":[29],"the":[30,57,75],"process":[31],"normal":[33],"matching":[34],"between":[35,59,77],"two":[36,60,78],"to":[38],"be":[39,69],"expressed":[40],"as":[41],"explicit":[43],"equation.":[44],"Based":[45],"on":[46,89],"this":[47],"insight,":[48],"we":[49],"also":[50],"efficient":[53],"distance":[58,76],"surfaces,":[62],"even":[63],"though":[64],"they":[65],"may":[66],"in":[67,84],"general":[68],"non-convex.":[70],"Using":[71],"experimental":[73],"implementation,":[74],"was":[82],"computed":[83],"less":[85],"than":[86],"0.5":[87],"msec":[88],"average.":[90]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}