{"id":"https://openalex.org/W2040826409","doi":"https://doi.org/10.1080/10637199508915472","title":"ANALOG PARALLEL ALGORITHMS FOR COMPUTATIONAL GEOMETRY","display_name":"ANALOG PARALLEL ALGORITHMS FOR COMPUTATIONAL GEOMETRY","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W2040826409","doi":"https://doi.org/10.1080/10637199508915472","mag":"2040826409"},"language":"en","primary_location":{"id":"doi:10.1080/10637199508915472","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10637199508915472","pdf_url":null,"source":{"id":"https://openalex.org/S89732838","display_name":"Parallel algorithms and applications","issn_l":"1026-7689","issn":["1026-7689","1029-032X","1063-7192"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Algorithms and 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/A5113496226","display_name":"Frank Dehne","orcid":null},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"FRANK DEHNE","raw_affiliation_strings":["School of Computer Science, Carleton University , Ottawa, Canada , K1S 5B6"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University , Ottawa, Canada , K1S 5B6","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085978384","display_name":"J\u00f6rg-R\u00fcdiger Sack","orcid":"https://orcid.org/0000-0001-5936-1319"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J\u00d6RG-R\u00dcDIGER SACK","raw_affiliation_strings":["School of Computer Science, Carleton University , Ottawa, Canada , K1S 5B6"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University , Ottawa, Canada , K1S 5B6","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029988301","display_name":"NATANA VALIVETI","orcid":null},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"NATANA VALIVETI","raw_affiliation_strings":["School of Computer Science, Carleton University , Ottawa, Canada , K1S 5B6"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University , Ottawa, Canada , K1S 5B6","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077472871","display_name":"Boris Flach","orcid":"https://orcid.org/0000-0002-4988-7541"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"BORIS FLACH","raw_affiliation_strings":["Nuclear Energy Research Institute , Rossendord, Postfach 10, O-8061, Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nuclear Energy Research Institute , Rossendord, Postfach 10, O-8061, Dresden, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9822,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.77881964,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":"1-2","first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9986000061035156,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9986000061035156,"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/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":0.995199978351593,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/analogue-electronics","display_name":"Analogue electronics","score":0.6475757956504822},{"id":"https://openalex.org/keywords/massively-parallel","display_name":"Massively parallel","score":0.6245089173316956},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6181640625},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.5001635551452637},{"id":"https://openalex.org/keywords/analog-computer","display_name":"Analog computer","score":0.4958215653896332},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4936333894729614},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.47891509532928467},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.4283093214035034},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.41055017709732056},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32120877504348755},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.31360000371932983},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09176748991012573}],"concepts":[{"id":"https://openalex.org/C29074008","wikidata":"https://www.wikidata.org/wiki/Q174925","display_name":"Analogue electronics","level":3,"score":0.6475757956504822},{"id":"https://openalex.org/C190475519","wikidata":"https://www.wikidata.org/wiki/Q544384","display_name":"Massively parallel","level":2,"score":0.6245089173316956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6181640625},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.5001635551452637},{"id":"https://openalex.org/C90915687","wikidata":"https://www.wikidata.org/wiki/Q63759","display_name":"Analog computer","level":2,"score":0.4958215653896332},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4936333894729614},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.47891509532928467},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.4283093214035034},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.41055017709732056},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32120877504348755},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.31360000371932983},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09176748991012573},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10637199508915472","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10637199508915472","pdf_url":null,"source":{"id":"https://openalex.org/S89732838","display_name":"Parallel algorithms and applications","issn_l":"1026-7689","issn":["1026-7689","1029-032X","1063-7192"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1535260983","https://openalex.org/W1536066714","https://openalex.org/W1547668367","https://openalex.org/W1566622904","https://openalex.org/W1570328105","https://openalex.org/W1578671836","https://openalex.org/W1597286183","https://openalex.org/W2005314985","https://openalex.org/W2010526455","https://openalex.org/W2011039300","https://openalex.org/W2012171749","https://openalex.org/W2040826409","https://openalex.org/W2051385641","https://openalex.org/W2062210787","https://openalex.org/W2074341520","https://openalex.org/W2089506206","https://openalex.org/W2102227134","https://openalex.org/W2112246162","https://openalex.org/W2153229694","https://openalex.org/W2177721432","https://openalex.org/W2570294345","https://openalex.org/W2911302472","https://openalex.org/W4232428446"],"related_works":["https://openalex.org/W1542309263","https://openalex.org/W119040397","https://openalex.org/W148823471","https://openalex.org/W2622518229","https://openalex.org/W1543798151","https://openalex.org/W1587506004","https://openalex.org/W2117014006","https://openalex.org/W1580581198","https://openalex.org/W1520923081","https://openalex.org/W2040826409"],"abstract_inverted_index":{"This":[0],"paper":[1,54,188],"presents":[2],"a":[3,81,172,177],"new":[4],"approach":[5,84],"to":[6,17,40,85],"Parallel":[7,59],"Computational":[8,60],"Geometry":[9,61],"by":[10,66,108],"using":[11],"networks":[12,20],"of":[13,31,70,95,116,120,138,143,150,179,183],"analog":[14,19,22,26,72,78,109,127,199],"components":[15,110],"(referred":[16],"as":[18],"or":[21,142],"circuits).":[23],"Massively":[24],"parallel":[25,73,77,100,128,200],"circuits":[27,79,201],"with":[28,145,153],"large":[29],"numbers":[30],"processing":[32],"elements":[33],"exist":[34],"in":[35,196],"hardware":[36],"and":[37,102,169],"have":[38],"proven":[39],"be":[41,64],"efficient":[42],"architectures":[43],"for":[44,130,171],"important":[45],"problems":[46,62],"(e.g.":[47,111],"constructing":[48],"an":[49],"associative":[50],"memory).":[51],"In":[52],"this":[53],"it":[55],"is":[56,92,106],"demonstrated":[57],"how":[58],"can":[63],"solved":[65],"exploiting":[67],"the":[68,96,117,121,131,156],"features":[69],"such":[71],"architectures.":[74],"Using":[75],"massively":[76],"requires":[80],"radically":[82],"different":[83],"geometric":[86,104],"problem":[87],"solving":[88],"because":[89],"(1)":[90],"time":[91],"continuous":[93],"instead":[94,119],"standard":[97],"discretized":[98],"stepwise":[99],"processing,":[101],"(2)":[103],"data":[105],"represented":[107],"voltages":[112],"at":[113],"certain":[114],"positions":[115],"circuit)":[118],"usual":[122],"digital":[123],"representation":[124],"We":[125],"present":[126],"algorithms":[129],"following":[132],"geometrical":[133],"problems:":[134],"minimum":[135,147],"weight":[136],"triangularization":[137],"planar":[139],"point":[140,163],"sets":[141,164],"polygons":[144,152],"holes,":[146,154],"rectangular":[148],"partitions":[149],"rectilinear":[151],"finding":[155],"smallest":[157],"\u03b5":[158],"so":[159],"that":[160],"two":[161],"given":[162,173],"are":[165],"\u03b5-congruent":[166],"via":[167],"translation,":[168],"determining":[170],"line":[174,181],"segment":[175],"set":[176],"subset":[178],"non-intersecting":[180],"segments":[182],"maximum":[184],"total":[185],"length.":[186],"The":[187],"also":[189],"includes":[190],"experimental":[191],"results":[192],"which":[193],"demonstrate":[194],"that,":[195],"practice,":[197],"our":[198],"produce":[202],"high":[203],"quality":[204],"outputs.":[205]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
