{"id":"https://openalex.org/W2474447773","doi":"https://doi.org/10.1145/2949035.2949059","title":"Double Conformal Geometric Algebra for Quadrics and Darboux Cyclides","display_name":"Double Conformal Geometric Algebra for Quadrics and Darboux Cyclides","publication_year":2016,"publication_date":"2016-06-27","ids":{"openalex":"https://openalex.org/W2474447773","doi":"https://doi.org/10.1145/2949035.2949059","mag":"2474447773"},"language":"en","primary_location":{"id":"doi:10.1145/2949035.2949059","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2949035.2949059","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 33rd Computer Graphics International","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/A5091397583","display_name":"Robert B. Easter","orcid":"https://orcid.org/0000-0002-8725-1835"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robert Benjamin Easter","raw_affiliation_strings":["Bangkok, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bangkok, Thailand","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051974422","display_name":"Eckhard Hitzer","orcid":"https://orcid.org/0000-0002-5587-6750"},"institutions":[{"id":"https://openalex.org/I199080787","display_name":"International Christian University","ror":"https://ror.org/01cg0k189","country_code":"JP","type":"education","lineage":["https://openalex.org/I199080787"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Eckhard Hitzer","raw_affiliation_strings":["International Christian University, Osawa, Mitaka, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"International Christian University, Osawa, Mitaka, Tokyo, Japan","institution_ids":["https://openalex.org/I199080787"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"93","last_page":"96"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/geometric-algebra","display_name":"Geometric algebra","score":0.8432071208953857},{"id":"https://openalex.org/keywords/multivector","display_name":"Multivector","score":0.787672758102417},{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.7531081438064575},{"id":"https://openalex.org/keywords/clifford-algebra","display_name":"Clifford algebra","score":0.7263755798339844},{"id":"https://openalex.org/keywords/quadric","display_name":"Quadric","score":0.7143105268478394},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.5789943337440491},{"id":"https://openalex.org/keywords/conformal-geometric-algebra","display_name":"Conformal geometric algebra","score":0.5753473043441772},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5606666207313538},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.5439993143081665},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48183929920196533},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.39744681119918823},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3725430965423584},{"id":"https://openalex.org/keywords/filtered-algebra","display_name":"Filtered algebra","score":0.27049845457077026},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2390926480293274},{"id":"https://openalex.org/keywords/division-algebra","display_name":"Division algebra","score":0.11868110299110413},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06446877121925354}],"concepts":[{"id":"https://openalex.org/C180671464","wikidata":"https://www.wikidata.org/wiki/Q1186649","display_name":"Geometric algebra","level":4,"score":0.8432071208953857},{"id":"https://openalex.org/C26238338","wikidata":"https://www.wikidata.org/wiki/Q2377336","display_name":"Multivector","level":5,"score":0.787672758102417},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.7531081438064575},{"id":"https://openalex.org/C100856211","wikidata":"https://www.wikidata.org/wiki/Q674689","display_name":"Clifford algebra","level":3,"score":0.7263755798339844},{"id":"https://openalex.org/C2779219049","wikidata":"https://www.wikidata.org/wiki/Q852117","display_name":"Quadric","level":2,"score":0.7143105268478394},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.5789943337440491},{"id":"https://openalex.org/C147898140","wikidata":"https://www.wikidata.org/wiki/Q5160252","display_name":"Conformal geometric algebra","level":5,"score":0.5753473043441772},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5606666207313538},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.5439993143081665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48183929920196533},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39744681119918823},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3725430965423584},{"id":"https://openalex.org/C169171071","wikidata":"https://www.wikidata.org/wiki/Q5449241","display_name":"Filtered algebra","level":3,"score":0.27049845457077026},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2390926480293274},{"id":"https://openalex.org/C138354692","wikidata":"https://www.wikidata.org/wiki/Q1231309","display_name":"Division algebra","level":4,"score":0.11868110299110413},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06446877121925354}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2949035.2949059","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2949035.2949059","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 33rd Computer Graphics International","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.4399999976158142,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W122875470","https://openalex.org/W1999678567","https://openalex.org/W2001005800","https://openalex.org/W2044105167","https://openalex.org/W2166631255","https://openalex.org/W2339553700","https://openalex.org/W4298680854"],"related_works":["https://openalex.org/W2099345067","https://openalex.org/W2964290513","https://openalex.org/W1482404553","https://openalex.org/W2361911558","https://openalex.org/W2746461580","https://openalex.org/W2952712267","https://openalex.org/W4295109177","https://openalex.org/W3037925604","https://openalex.org/W1538240564","https://openalex.org/W2474447773"],"abstract_inverted_index":{"We":[0],"introduce":[1],"Clifford":[2],"geometric":[3],"algebra":[4],"based":[5],"multivector":[6],"modeling":[7],"of":[8,21],"quartic":[9],"and":[10,19],"general":[11],"quadric":[12],"surfaces,":[13],"Darboux":[14],"cyclides,":[15],"Dupin":[16],"cyclies,":[17],"tori":[18],"pairs":[20],"standard":[22],"CGA":[23],"objects.":[24],"A":[25],"computer":[26],"visualization":[27],"is":[28],"briefly":[29],"described.":[30]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":5}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}