{"id":"https://openalex.org/W2943715369","doi":"https://doi.org/10.1007/978-3-030-22514-8_53","title":"Cubic Curves and Cubic Surfaces from Contact Points in Conformal Geometric Algebra","display_name":"Cubic Curves and Cubic Surfaces from Contact Points in Conformal Geometric Algebra","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2943715369","doi":"https://doi.org/10.1007/978-3-030-22514-8_53","mag":"2943715369"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-22514-8_53","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-22514-8_53","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":"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/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":true,"raw_author_name":"Eckhard Hitzer","raw_affiliation_strings":["International Christian University, Osawa 3-10-2, Mitaka-shi, Tokyo, 181-8585, Japan","International Christian University, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"International Christian University, Osawa 3-10-2, Mitaka-shi, Tokyo, 181-8585, Japan","institution_ids":["https://openalex.org/I199080787"]},{"raw_affiliation_string":"International Christian University, Tokyo, Japan","institution_ids":["https://openalex.org/I199080787"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049711176","display_name":"Dietmar Hildenbrand","orcid":"https://orcid.org/0000-0002-6384-4345"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dietmar Hildenbrand","raw_affiliation_strings":["Technical University of Darmstadt, Karolinenpl. 5, 64289, Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Technical University of Darmstadt, Karolinenpl. 5, 64289, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051974422"],"corresponding_institution_ids":["https://openalex.org/I199080787"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.3391,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.93225124,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"535","last_page":"545"},"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":0.9987999796867371,"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/T12504","display_name":"Mathematics and Applications","score":0.9900000095367432,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conformal-geometric-algebra","display_name":"Conformal geometric algebra","score":0.9095855355262756},{"id":"https://openalex.org/keywords/geometric-algebra","display_name":"Geometric algebra","score":0.8241806030273438},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6939406394958496},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.6730343103408813},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.5877526998519897},{"id":"https://openalex.org/keywords/clifford-algebra","display_name":"Clifford algebra","score":0.5520346164703369},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4892127513885498},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.48232385516166687},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.45350930094718933},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44179201126098633},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3971415162086487},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.31910979747772217}],"concepts":[{"id":"https://openalex.org/C147898140","wikidata":"https://www.wikidata.org/wiki/Q5160252","display_name":"Conformal geometric algebra","level":5,"score":0.9095855355262756},{"id":"https://openalex.org/C180671464","wikidata":"https://www.wikidata.org/wiki/Q1186649","display_name":"Geometric algebra","level":4,"score":0.8241806030273438},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6939406394958496},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.6730343103408813},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.5877526998519897},{"id":"https://openalex.org/C100856211","wikidata":"https://www.wikidata.org/wiki/Q674689","display_name":"Clifford algebra","level":3,"score":0.5520346164703369},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4892127513885498},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.48232385516166687},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.45350930094718933},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44179201126098633},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3971415162086487},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.31910979747772217}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-22514-8_53","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-22514-8_53","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1515695641","https://openalex.org/W1572341022","https://openalex.org/W1600874933","https://openalex.org/W1999678567","https://openalex.org/W2058299352","https://openalex.org/W2063348199","https://openalex.org/W2116021467","https://openalex.org/W2339553700","https://openalex.org/W2342453734","https://openalex.org/W2756463804","https://openalex.org/W2795258309","https://openalex.org/W2810175295","https://openalex.org/W2916889569","https://openalex.org/W2942840320","https://openalex.org/W2969662963","https://openalex.org/W3103086579"],"related_works":["https://openalex.org/W2099345067","https://openalex.org/W2964290513","https://openalex.org/W1482404553","https://openalex.org/W2746461580","https://openalex.org/W2361911558","https://openalex.org/W2951525676","https://openalex.org/W1538240564","https://openalex.org/W288435025","https://openalex.org/W4295109177","https://openalex.org/W164473625"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}