{"id":"https://openalex.org/W2042121623","doi":"https://doi.org/10.1016/s0167-8191(05)80005-5","title":"Note on unit tangent vector computation for homotopy curve tracking on a hypercube","display_name":"Note on unit tangent vector computation for homotopy curve tracking on a hypercube","publication_year":1991,"publication_date":"1991-12-01","ids":{"openalex":"https://openalex.org/W2042121623","doi":"https://doi.org/10.1016/s0167-8191(05)80005-5","mag":"2042121623"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-8191(05)80005-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8191(05)80005-5","pdf_url":null,"source":{"id":"https://openalex.org/S112708030","display_name":"Parallel Computing","issn_l":"0167-8191","issn":["0167-8191","1872-7336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Computing","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/A5053629037","display_name":"Amal Chakraborty","orcid":"https://orcid.org/0000-0003-1879-8914"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Chakraborty","raw_affiliation_strings":["Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA","Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090480538","display_name":"Donald C. S. Allison","orcid":null},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D.C.S. Allison","raw_affiliation_strings":["Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA","Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111678566","display_name":"Calvin J. Ribbens","orcid":null},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C.J. Ribbens","raw_affiliation_strings":["Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA","Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068161656","display_name":"Layne T. Watson","orcid":"https://orcid.org/0000-0003-2009-107X"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L.T. Watson","raw_affiliation_strings":["Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA","Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061, USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I859038795"],"apc_list":{"value":2680,"currency":"USD","value_usd":2680},"apc_paid":null,"fwci":0.9889,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.74298798,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"12","first_page":"1385","last_page":"1395"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9977999925613403,"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":0.9977999925613403,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9958000183105469,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.988099992275238,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7168999910354614},{"id":"https://openalex.org/keywords/tangent-vector","display_name":"Tangent vector","score":0.711037814617157},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.6119263172149658},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.5727435350418091},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.5241813063621521},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.422331303358078},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4171212315559387},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.321283221244812},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.23854467272758484},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.19344288110733032},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18608182668685913},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14717039465904236}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7168999910354614},{"id":"https://openalex.org/C47890412","wikidata":"https://www.wikidata.org/wiki/Q1179296","display_name":"Tangent vector","level":3,"score":0.711037814617157},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.6119263172149658},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.5727435350418091},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.5241813063621521},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.422331303358078},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4171212315559387},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.321283221244812},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.23854467272758484},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19344288110733032},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18608182668685913},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14717039465904236}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0167-8191(05)80005-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8191(05)80005-5","pdf_url":null,"source":{"id":"https://openalex.org/S112708030","display_name":"Parallel Computing","issn_l":"0167-8191","issn":["0167-8191","1872-7336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1583979427","https://openalex.org/W1607862333","https://openalex.org/W1947152669","https://openalex.org/W1976231053","https://openalex.org/W1978723563","https://openalex.org/W1992421129","https://openalex.org/W1995148226","https://openalex.org/W2001824468","https://openalex.org/W2027212082","https://openalex.org/W2027218123","https://openalex.org/W2042025615","https://openalex.org/W2053550367","https://openalex.org/W2055606493","https://openalex.org/W2079670613","https://openalex.org/W2087314423","https://openalex.org/W2088986191","https://openalex.org/W2108833034","https://openalex.org/W3163705782","https://openalex.org/W6640853790","https://openalex.org/W6650673054","https://openalex.org/W6670111090","https://openalex.org/W6795601653"],"related_works":["https://openalex.org/W2021174839","https://openalex.org/W4249328994","https://openalex.org/W4243792188","https://openalex.org/W4242263702","https://openalex.org/W2361271799","https://openalex.org/W4243493531","https://openalex.org/W2060675723","https://openalex.org/W2785123783","https://openalex.org/W1969325112","https://openalex.org/W2392427473"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}