{"id":"https://openalex.org/W41699208","doi":"https://doi.org/10.1142/9789812831699_0008","title":"GEOMETRIC CONSTRAINT SOLVING IN \u211c2 AND \u211c3","display_name":"GEOMETRIC CONSTRAINT SOLVING IN \u211c2 AND \u211c3","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W41699208","doi":"https://doi.org/10.1142/9789812831699_0008","mag":"41699208"},"language":"en","primary_location":{"id":"doi:10.1142/9789812831699_0008","doi":"https://doi.org/10.1142/9789812831699_0008","is_oa":false,"landing_page_url":"https://doi.org/10.1142/9789812831699_0008","pdf_url":null,"source":{"id":"https://openalex.org/S4210221071","display_name":"Lecture notes series on computing","issn_l":"1793-1223","issn":["1793-1223"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes Series on Computing","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2482639970","display_name":"Computing in Euclidean Geometry"},"type":"book-chapter","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/A5101695356","display_name":"Christoph M. Hoffmann","orcid":"https://orcid.org/0000-0002-7317-8489","observed_orcids":["https://orcid.org/0000-0002-7317-8489"]},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"CHRISTOPH M. HOFFMANN","raw_affiliation_strings":["Department of Computer Sciences, Purdue University West Lafayette, Indiana 47907-139S, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, Purdue University West Lafayette, Indiana 47907-139S, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049717667","display_name":"Pamela J. Vermeer","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I184889055","display_name":"Washington and Lee University","ror":"https://ror.org/05r9xgf14","country_code":"US","type":"education","lineage":["https://openalex.org/I184889055"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"PAMELA J. VERMEER","raw_affiliation_strings":["Department of Computer Sciences, Washington and Lee University, Lexington, Virginia 24450, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, Washington and Lee University, Lexington, Virginia 24450, USA","institution_ids":["https://openalex.org/I184889055"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.836,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.69745455,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"266","last_page":"298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.6542999744415283,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.6542999744415283,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.3131999969482422,"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":0.01080000028014183,"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/geometric-constraint-solving","display_name":"geometric constraint solving","score":0.9929999709129333},{"id":"https://openalex.org/keywords/constraint-satisfaction","display_name":"constraint satisfaction","score":0.5320000052452087},{"id":"https://openalex.org/keywords/plane-geometry","display_name":"plane geometry","score":0.7070000171661377},{"id":"https://openalex.org/keywords/solid-geometry","display_name":"solid geometry","score":0.9890000224113464},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"computational geometry","score":0.5090000033378601}],"concepts":[{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.48490220308303833},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40389102697372437},{"id":"https://openalex.org/C177322064","wikidata":"https://www.wikidata.org/wiki/Q750955","display_name":"Radiochemistry","level":1,"score":0.3247511386871338},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2829498052597046},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.2527824640274048},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16979995369911194}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/9789812831699_0008","doi":"https://doi.org/10.1142/9789812831699_0008","is_oa":false,"landing_page_url":"https://doi.org/10.1142/9789812831699_0008","pdf_url":null,"source":{"id":"https://openalex.org/S4210221071","display_name":"Lecture notes series on computing","issn_l":"1793-1223","issn":["1793-1223"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes Series on Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W3148032049","https://openalex.org/W2271181815"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2025-10-10T00:00:00"}