{"id":"https://openalex.org/W2030221437","doi":"https://doi.org/10.1080/2151237x.2008.10129266","title":"Calculating Center of Mass in an Unbounded 2D Environment","display_name":"Calculating Center of Mass in an Unbounded 2D Environment","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2030221437","doi":"https://doi.org/10.1080/2151237x.2008.10129266","mag":"2030221437"},"language":"en","primary_location":{"id":"doi:10.1080/2151237x.2008.10129266","is_oa":false,"landing_page_url":"https://doi.org/10.1080/2151237x.2008.10129266","pdf_url":null,"source":{"id":"https://openalex.org/S4210240212","display_name":"Journal of Graphics Tools","issn_l":"1086-7651","issn":["1086-7651","2165-347X","2165-3488"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graphics Tools","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/A5087807599","display_name":"Linge Bai","orcid":null},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Linge Bai","raw_affiliation_strings":["Drexel University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Drexel University","institution_ids":["https://openalex.org/I72816309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061644705","display_name":"David E. Breen","orcid":"https://orcid.org/0000-0002-1376-5008"},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Breen","raw_affiliation_strings":["Drexel University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Drexel University","institution_ids":["https://openalex.org/I72816309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I72816309"],"apc_list":null,"apc_paid":null,"fwci":0.3875,"has_fulltext":false,"cited_by_count":96,"citation_normalized_percentile":{"value":0.7262724,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"13","issue":"4","first_page":"53","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11349","display_name":"Music Technology and Sound Studies","score":0.9911999702453613,"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/T11349","display_name":"Music Technology and Sound Studies","score":0.9911999702453613,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9891999959945679,"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/T11737","display_name":"Advanced Materials and Mechanics","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/center","display_name":"Center (category theory)","score":0.7320553064346313},{"id":"https://openalex.org/keywords/center-of-mass","display_name":"Center of mass (relativistic)","score":0.7300786972045898},{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.7182753086090088},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.6377447247505188},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5993122458457947},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5750455856323242},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.5200185775756836},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5054762363433838},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44313207268714905},{"id":"https://openalex.org/keywords/coordinate-system","display_name":"Coordinate system","score":0.4422770142555237},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4270877540111542},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3618929386138916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26314258575439453},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18735864758491516},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.09684786200523376}],"concepts":[{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.7320553064346313},{"id":"https://openalex.org/C36185635","wikidata":"https://www.wikidata.org/wiki/Q17006925","display_name":"Center of mass (relativistic)","level":3,"score":0.7300786972045898},{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.7182753086090088},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.6377447247505188},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5993122458457947},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5750455856323242},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5200185775756836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5054762363433838},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44313207268714905},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.4422770142555237},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4270877540111542},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3618929386138916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26314258575439453},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18735864758491516},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.09684786200523376},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C47513753","wikidata":"https://www.wikidata.org/wiki/Q3502299","display_name":"Energy\u2013momentum relation","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/2151237x.2008.10129266","is_oa":false,"landing_page_url":"https://doi.org/10.1080/2151237x.2008.10129266","pdf_url":null,"source":{"id":"https://openalex.org/S4210240212","display_name":"Journal of Graphics Tools","issn_l":"1086-7651","issn":["1086-7651","2165-347X","2165-3488"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graphics Tools","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1576818901","https://openalex.org/W2001133651","https://openalex.org/W2059670203","https://openalex.org/W2105392055"],"related_works":["https://openalex.org/W2381926679","https://openalex.org/W2007009951","https://openalex.org/W4243812744","https://openalex.org/W4250901180","https://openalex.org/W2329741731","https://openalex.org/W2325662832","https://openalex.org/W4233382574","https://openalex.org/W2501882063","https://openalex.org/W2334930033","https://openalex.org/W3000322427"],"abstract_inverted_index":{"We":[0,58],"study":[1],"the":[2,37,42,47,52,64,86,111,116,122,126],"behavior":[3],"of":[4,49,51,66,72,101,125],"simple,":[5],"2D,":[6],"self-organizing":[7],"primitives":[8,43],"that":[9,75],"interact":[10],"and":[11,28,108],"move":[12],"in":[13,78,103,118],"an":[14,60,79],"unbounded":[15,80],"environment":[16],"to":[17,35,44,120],"create":[18],"aggregated":[19,38],"shapes.":[20],"Each":[21],"primitive":[22],"is":[23],"represented":[24],"by":[25,41,93],"a":[26,29,70,99],"disk":[27],"unit":[30],"point":[31,73],"mass.":[32],"In":[33],"order":[34,119],"compare":[36],"shape":[39],"produced":[40],"other":[45],"shapes,":[46],"centers":[48],"mass":[50,67,102],"two":[53,95],"shapes":[54],"must":[55],"be":[56],"aligned.":[57],"present":[59],"algorithm":[61,84],"for":[62,69,88,105],"calculating":[63,98],"center":[65,100],"(COM)":[68],"set":[71],"masses":[74],"are":[76],"distributed":[77],"2D":[81,123],"environment.":[82],"The":[83],"calculates":[85],"centroid":[87],"each":[89,106],"coordinate":[90],"component":[91],"separately":[92],"forming":[94],"\"orthogonal\"":[96],"tubes,":[97,117],"3D":[104,112],"tube":[107],"then":[109],"projecting":[110],"COM":[113,124],"back":[114],"onto":[115],"produce":[121],"points.":[127]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}