{"id":"https://openalex.org/W1526803700","doi":"https://doi.org/10.1007/11499251_25","title":"Conic Sections and Meet Intersections in Geometric Algebra","display_name":"Conic Sections and Meet Intersections in Geometric Algebra","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1526803700","doi":"https://doi.org/10.1007/11499251_25","mag":"1526803700"},"language":"en","primary_location":{"id":"doi:10.1007/11499251_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11499251_25","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1306.1017","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051974422","display_name":"Eckhard Hitzer","orcid":"https://orcid.org/0000-0002-5587-6750"},"institutions":[{"id":"https://openalex.org/I111966504","display_name":"University of Fukui","ror":"https://ror.org/00msqp585","country_code":"JP","type":"education","lineage":["https://openalex.org/I111966504"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Eckhard M. S. Hitzer","raw_affiliation_strings":["Department of Physical Engineering, University of Fukui, Japan","Department of Physical Engineering, University of Fukui, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physical Engineering, University of Fukui, Japan","institution_ids":["https://openalex.org/I111966504"]},{"raw_affiliation_string":"Department of Physical Engineering, University of Fukui, Japan#TAB#","institution_ids":["https://openalex.org/I111966504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051974422"],"corresponding_institution_ids":["https://openalex.org/I111966504"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.03787879,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"350","last_page":"362"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9995999932289124,"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":0.9995999932289124,"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/T12504","display_name":"Mathematics and Applications","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.9783999919891357,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.9767271876335144},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6928676962852478},{"id":"https://openalex.org/keywords/geometric-algebra","display_name":"Geometric algebra","score":0.6369200944900513},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.6092065572738647},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.5815302729606628},{"id":"https://openalex.org/keywords/projective-geometry","display_name":"Projective geometry","score":0.5799436569213867},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5299385786056519},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5181968808174133},{"id":"https://openalex.org/keywords/conformal-geometric-algebra","display_name":"Conformal geometric algebra","score":0.43952393531799316},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.371018648147583},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3454208970069885},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2192145586013794},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"Differential geometry","score":0.12088024616241455},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.07386347651481628}],"concepts":[{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.9767271876335144},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6928676962852478},{"id":"https://openalex.org/C180671464","wikidata":"https://www.wikidata.org/wiki/Q1186649","display_name":"Geometric algebra","level":4,"score":0.6369200944900513},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.6092065572738647},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.5815302729606628},{"id":"https://openalex.org/C185362025","wikidata":"https://www.wikidata.org/wiki/Q177409","display_name":"Projective geometry","level":3,"score":0.5799436569213867},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5299385786056519},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5181968808174133},{"id":"https://openalex.org/C147898140","wikidata":"https://www.wikidata.org/wiki/Q5160252","display_name":"Conformal geometric algebra","level":5,"score":0.43952393531799316},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.371018648147583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3454208970069885},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2192145586013794},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.12088024616241455},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.07386347651481628}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/11499251_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11499251_25","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:arXiv.org:1306.1017","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1306.1017","pdf_url":"https://arxiv.org/pdf/1306.1017","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1306.1017","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1306.1017","pdf_url":"https://arxiv.org/pdf/1306.1017","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.6399999856948853}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W122875470","https://openalex.org/W571624185","https://openalex.org/W1489294852","https://openalex.org/W1544725832","https://openalex.org/W1641937208","https://openalex.org/W1845835988","https://openalex.org/W1989181044","https://openalex.org/W2082565556","https://openalex.org/W2099688444","https://openalex.org/W2104980312","https://openalex.org/W2117463337","https://openalex.org/W2129397513","https://openalex.org/W2166631255","https://openalex.org/W2492400030","https://openalex.org/W3008422510","https://openalex.org/W3106454480","https://openalex.org/W4243662096","https://openalex.org/W4245008555","https://openalex.org/W4298419852","https://openalex.org/W4298680854"],"related_works":["https://openalex.org/W4297796763","https://openalex.org/W2579897398","https://openalex.org/W2982251507","https://openalex.org/W1708307708","https://openalex.org/W1812640792","https://openalex.org/W2182373720","https://openalex.org/W4394645775","https://openalex.org/W2461279623","https://openalex.org/W1526803700","https://openalex.org/W2078995705"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}