{"id":"https://openalex.org/W3005442790","doi":"https://doi.org/10.1109/skima47702.2019.8982434","title":"On the Curve of Minimal Length between Two Points On a B\u00e9zier Surface","display_name":"On the Curve of Minimal Length between Two Points On a B\u00e9zier Surface","publication_year":2019,"publication_date":"2019-08-01","ids":{"openalex":"https://openalex.org/W3005442790","doi":"https://doi.org/10.1109/skima47702.2019.8982434","mag":"3005442790"},"language":"en","primary_location":{"id":"doi:10.1109/skima47702.2019.8982434","is_oa":false,"landing_page_url":"https://doi.org/10.1109/skima47702.2019.8982434","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 13th International Conference on Software, Knowledge, Information Management and Applications (SKIMA)","raw_type":"proceedings-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/A5070574743","display_name":"Alfonso Carriazo","orcid":"https://orcid.org/0000-0001-5370-3453"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A. Carriazo","raw_affiliation_strings":["Universidad de Sevilla,Dpto. Geometr&#x00ED;a y Topolog&#x00ED;a,Sevilla,Espa&#x00F1;a","Dpto. Geometr\u00eda y Topolog\u00eda, Universidad de Sevilla, Sevilla, Espa\u00f1a"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad de Sevilla,Dpto. Geometr&#x00ED;a y Topolog&#x00ED;a,Sevilla,Espa&#x00F1;a","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Dpto. Geometr\u00eda y Topolog\u00eda, Universidad de Sevilla, Sevilla, Espa\u00f1a","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113690692","display_name":"M. Carmen M\u00e1rquez","orcid":null},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. C. M\u00e1rquez","raw_affiliation_strings":["Universidad de Sevilla,Dpto. Geometr&#x00ED;a y Topolog&#x00ED;a,Sevilla,Espa&#x00F1;a","Dpto. Geometr\u00eda y Topolog\u00eda, Universidad de Sevilla, Sevilla, Espa\u00f1a"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad de Sevilla,Dpto. Geometr&#x00ED;a y Topolog&#x00ED;a,Sevilla,Espa&#x00F1;a","institution_ids":["https://openalex.org/I79238269"]},{"raw_affiliation_string":"Dpto. Geometr\u00eda y Topolog\u00eda, Universidad de Sevilla, Sevilla, Espa\u00f1a","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083781406","display_name":"Hassan Ugail","orcid":"https://orcid.org/0000-0002-3084-1797"},"institutions":[{"id":"https://openalex.org/I139894009","display_name":"University of Bradford","ror":"https://ror.org/00vs8d940","country_code":"GB","type":"education","lineage":["https://openalex.org/I139894009"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"H. Ugail","raw_affiliation_strings":["University of Bradford,Centre for Visual Computing,Bradford,United Kingdom","Centre for Visual Computing, University of Bradford, Bradford, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bradford,Centre for Visual Computing,Bradford,United Kingdom","institution_ids":["https://openalex.org/I139894009"]},{"raw_affiliation_string":"Centre for Visual Computing, University of Bradford, Bradford, United Kingdom","institution_ids":["https://openalex.org/I139894009"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20634723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994999766349792,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.953000009059906,"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/T12304","display_name":"Radiative Heat Transfer Studies","score":0.9520999789237976,"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/paraboloid","display_name":"Paraboloid","score":0.8424261212348938},{"id":"https://openalex.org/keywords/b\u00e9zier-curve","display_name":"B\u00e9zier curve","score":0.7114608287811279},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6821429133415222},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6322668194770813},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5301146507263184},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5232797265052795},{"id":"https://openalex.org/keywords/cylinder","display_name":"Cylinder","score":0.5071158409118652},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4793699085712433},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4358304738998413},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2424386739730835},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.08147034049034119}],"concepts":[{"id":"https://openalex.org/C203231007","wikidata":"https://www.wikidata.org/wiki/Q192768","display_name":"Paraboloid","level":3,"score":0.8424261212348938},{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.7114608287811279},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6821429133415222},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6322668194770813},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5301146507263184},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5232797265052795},{"id":"https://openalex.org/C203311528","wikidata":"https://www.wikidata.org/wiki/Q34132","display_name":"Cylinder","level":2,"score":0.5071158409118652},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4793699085712433},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4358304738998413},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2424386739730835},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.08147034049034119}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/skima47702.2019.8982434","is_oa":false,"landing_page_url":"https://doi.org/10.1109/skima47702.2019.8982434","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 13th International Conference on Software, Knowledge, Information Management and Applications (SKIMA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6299999952316284,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1507514809","https://openalex.org/W1565212980","https://openalex.org/W1968679263","https://openalex.org/W2001625034","https://openalex.org/W2048628065","https://openalex.org/W2398701309","https://openalex.org/W2747993927","https://openalex.org/W2908121874","https://openalex.org/W2940931619","https://openalex.org/W2961955365","https://openalex.org/W4210620228"],"related_works":["https://openalex.org/W790678983","https://openalex.org/W2017700652","https://openalex.org/W2071847007","https://openalex.org/W2077260234","https://openalex.org/W4285497531","https://openalex.org/W2349736983","https://openalex.org/W2010755048","https://openalex.org/W2744302016","https://openalex.org/W2462632355","https://openalex.org/W2228282078"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4],"a":[5,16,34,43],"method":[6,41],"to":[7],"obtain":[8],"the":[9,21,26,29,37,56,58,61],"distance":[10],"between":[11],"two":[12,30],"fixed":[13],"points":[14],"of":[15,23,36,51],"B\u00e9zier":[17,52],"surface":[18,27],"by":[19],"minimizing":[20],"length":[22],"curves":[24],"on":[25],"linking":[28],"points.":[31],"We":[32,47],"use":[33],"discretization":[35],"classical":[38],"orthogonal":[39],"variations":[40],"for":[42],"regular":[44],"planar":[45],"curve.":[46],"provide":[48],"interesting":[49],"examples":[50],"surfaces":[53],"which":[54],"approximate":[55],"cylinder,":[57],"sphere":[59],"and":[60],"hyperbolic":[62],"paraboloid.":[63]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
