{"id":"https://openalex.org/W2061263184","doi":"https://doi.org/10.1142/s0218195910003463","title":"RECONCILING CONFLICTING COMBINATORIAL PREPROCESSORS FOR GEOMETRIC CONSTRAINT SYSTEMS","display_name":"RECONCILING CONFLICTING COMBINATORIAL PREPROCESSORS FOR GEOMETRIC CONSTRAINT SYSTEMS","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2061263184","doi":"https://doi.org/10.1142/s0218195910003463","mag":"2061263184"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195910003463","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195910003463","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry & Applications","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/A5089647969","display_name":"Meera Sitharam","orcid":"https://orcid.org/0000-0003-1031-1403"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"MEERA SITHARAM","raw_affiliation_strings":["CISE, University of Florida, Gainesville, Florida 32611, USA"],"affiliations":[{"raw_affiliation_string":"CISE, University of Florida, Gainesville, Florida 32611, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025079159","display_name":"Yong Zhou","orcid":"https://orcid.org/0000-0001-6207-0299"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"YONG ZHOU","raw_affiliation_strings":["CISE, University of Florida, Gainesville, Florida 32611, USA"],"affiliations":[{"raw_affiliation_string":"CISE, University of Florida, Gainesville, Florida 32611, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027686327","display_name":"J\u00f6rg Peters","orcid":"https://orcid.org/0000-0002-2499-1529"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J\u00d6RG PETERS","raw_affiliation_strings":["CISE, University of Florida, Gainesville, Florida 32611, USA"],"affiliations":[{"raw_affiliation_string":"CISE, University of Florida, Gainesville, Florida 32611, USA","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089647969"],"corresponding_institution_ids":["https://openalex.org/I33213144"],"apc_list":null,"apc_paid":null,"fwci":0.7209,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.79893603,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"20","issue":"06","first_page":"631","last_page":"651"},"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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9941999912261963,"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/matroid","display_name":"Matroid","score":0.8848733901977539},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.6036726236343384},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5421948432922363},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5084942579269409},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49499815702438354},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.45070502161979675},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.44958874583244324},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44252121448516846},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.42469972372055054},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4227501451969147},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4128822088241577},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3818260431289673},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1741122305393219}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.8848733901977539},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.6036726236343384},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5421948432922363},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5084942579269409},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49499815702438354},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.45070502161979675},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.44958874583244324},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44252121448516846},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.42469972372055054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4227501451969147},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4128822088241577},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3818260431289673},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1741122305393219},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218195910003463","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195910003463","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry & Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.152.9251","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.152.9251","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cise.ufl.edu/~sitharam/ijcga-new.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.193.1049","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.193.1049","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cise.ufl.edu/research/SurfLab/papers/08combalg.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W11008052","https://openalex.org/W56131285","https://openalex.org/W1519617671","https://openalex.org/W1520511539","https://openalex.org/W1573787548","https://openalex.org/W1977248580","https://openalex.org/W1977792410","https://openalex.org/W1991803036","https://openalex.org/W1993907770","https://openalex.org/W2001175168","https://openalex.org/W2007259720","https://openalex.org/W2062605698","https://openalex.org/W2092004236","https://openalex.org/W2106989814","https://openalex.org/W2126314964","https://openalex.org/W2140258961","https://openalex.org/W2152273360","https://openalex.org/W2579095637","https://openalex.org/W4251345737","https://openalex.org/W4255151293"],"related_works":["https://openalex.org/W1980749407","https://openalex.org/W2027076799","https://openalex.org/W2776183083","https://openalex.org/W2162456012","https://openalex.org/W2903114281","https://openalex.org/W3011290589","https://openalex.org/W4367692755","https://openalex.org/W2499899015","https://openalex.org/W3094553672","https://openalex.org/W3101270593"],"abstract_inverted_index":{"Polynomial":[0],"equation":[1],"systems":[2,97],"arising":[3],"from":[4],"real":[5],"applications":[6],"often":[7],"have":[8,200],"associated":[9,219],"combinatorial":[10,47],"information,":[11],"expressible":[12],"as":[13],"graphs":[14],"and":[15,22,59,64,86,103,163],"underlying":[16,52,170],"matroids.":[17,171,220],"To":[18],"simplify":[19],"the":[20,68,100,122,146,176,179,193,196,210,218],"system":[21,152],"improve":[23],"its":[24],"numerical":[25,157],"robustness":[26],"before":[27],"attempting":[28],"to":[29,40,74,138,148,185,188,208],"solve":[30],"it":[31],"with":[32],"numeric-algebraic":[33],"techniques,":[34],"solvers":[35],"can":[36,56,164],"employ":[37],"graph":[38,72],"algorithms":[39,55,73,94,160,212],"extract":[41],"substructures":[42],"satisfying":[43],"or":[44],"optimizing":[45],"various":[46],"properties.":[48],"When":[49],"there":[50],"are":[51,161],"matroids,":[53],"these":[54],"be":[57,165,186],"greedy":[58,162],"efficient.":[60],"In":[61],"practice,":[62],"correct":[63,167],"effective":[65,90],"merging":[66],"of":[67,70,105,108,124,135,142,178,195],"outputs":[69],"different":[71],"simultaneously":[75],"satisfy":[76],"their":[77],"goals":[78],"is":[79,154,174,182],"a":[80,106,133,143,150,189],"key":[81],"challenge.":[82],"This":[83],"paper":[84],"merges":[85],"improves":[87],"two":[88,211],"highly":[89],"but":[91],"separate":[92],"graph-based":[93],"that":[95,153,175],"preprocess":[96],"for":[98,119],"resolving":[99],"relative":[101],"position":[102],"orientation":[104],"collection":[107],"incident":[109],"rigid":[110],"bodies.":[111],"Such":[112],"collections":[113],"naturally":[114],"arise":[115],"in":[116,121],"many":[117],"situations,":[118],"example":[120],"recombination":[123],"decomposed":[125],"large":[126],"geometric":[127],"constraint":[128],"systems.":[129],"Each":[130],"algorithm":[131,181],"selects":[132],"subset":[134],"incidences,":[136],"one":[137],"optimize":[139],"algebraic":[140,202],"complexity":[141],"parametrized":[144],"system,":[145,191],"other":[147],"obtain":[149],"well-formed":[151,190],"robust":[155],"against":[156],"errors.":[158],"Both":[159],"proven":[166],"by":[168,213],"revealing":[169,214],"The":[172],"challenge":[173],"output":[177,194],"first":[180],"not":[183,199],"guaranteed":[184],"extensible":[187],"while":[192],"second":[197],"may":[198],"optimal":[201],"complexity.":[203],"Here":[204],"we":[205],"show":[206],"how":[207],"reconcile":[209],"well-behaved":[215],"maps":[216],"between":[217]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}