{"id":"https://openalex.org/W2046024652","doi":"https://doi.org/10.1016/s0010-4485(96)00051-6","title":"Comparison of discretization algorithms for nurbs surfaces with application to numerically controlled machining","display_name":"Comparison of discretization algorithms for nurbs surfaces with application to numerically controlled machining","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2046024652","doi":"https://doi.org/10.1016/s0010-4485(96)00051-6","mag":"2046024652"},"language":"en","primary_location":{"id":"doi:10.1016/s0010-4485(96)00051-6","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0010-4485(96)00051-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210171473","display_name":"Computer-Aided Design","issn_l":"0010-4485","issn":["0010-4485","1879-2685"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer-Aided Design","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/s0010-4485(96)00051-6","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035552826","display_name":"Shawn P Austin","orcid":null},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shawn P Austin","raw_affiliation_strings":["Computer Science Department, Dartmouth College, Hanover, NH 03755, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Dartmouth College, Hanover, NH 03755, USA","institution_ids":["https://openalex.org/I107672454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023343001","display_name":"Robert B. Jerard","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Robert B Jerard","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5103488244","display_name":"Robert L. Scot Drysdale","orcid":null},"institutions":[{"id":"https://openalex.org/I161057412","display_name":"University of New Hampshire","ror":"https://ror.org/01rmh9n78","country_code":"US","type":"education","lineage":["https://openalex.org/I161057412"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert L Drysdale","raw_affiliation_strings":["Mechanical Engineering Department, University of New Hampshire, Durham, NH 03824, USA","Mechanical Engineering Department University of New Hampshire, Durham, NH 03824 USA"],"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Department, University of New Hampshire, Durham, NH 03824, USA","institution_ids":["https://openalex.org/I161057412"]},{"raw_affiliation_string":"Mechanical Engineering Department University of New Hampshire, Durham, NH 03824 USA","institution_ids":["https://openalex.org/I161057412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023343001"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.7751,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.89661208,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"29","issue":"1","first_page":"71","last_page":"83"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T11138","display_name":"Tribology and Lubrication Engineering","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"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/parametric-surface","display_name":"Parametric surface","score":0.8647094964981079},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.7729761600494385},{"id":"https://openalex.org/keywords/machining","display_name":"Machining","score":0.6685787439346313},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.6552802324295044},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6314631104469299},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5845335721969604},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.557089626789093},{"id":"https://openalex.org/keywords/subdivision-surface","display_name":"Subdivision surface","score":0.5056552886962891},{"id":"https://openalex.org/keywords/b\u00e9zier-curve","display_name":"B\u00e9zier curve","score":0.48263081908226013},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.4805877208709717},{"id":"https://openalex.org/keywords/b\u00e9zier-surface","display_name":"B\u00e9zier surface","score":0.4780224561691284},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.4686393439769745},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46858781576156616},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4544324278831482},{"id":"https://openalex.org/keywords/tool-path","display_name":"Tool path","score":0.448735773563385},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36103931069374084},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3080178499221802},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19652998447418213},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.1869012415409088},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13131707906723022}],"concepts":[{"id":"https://openalex.org/C2187777","wikidata":"https://www.wikidata.org/wiki/Q1071743","display_name":"Parametric surface","level":3,"score":0.8647094964981079},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7729761600494385},{"id":"https://openalex.org/C523214423","wikidata":"https://www.wikidata.org/wiki/Q192047","display_name":"Machining","level":2,"score":0.6685787439346313},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.6552802324295044},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6314631104469299},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5845335721969604},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.557089626789093},{"id":"https://openalex.org/C199686383","wikidata":"https://www.wikidata.org/wiki/Q1529124","display_name":"Subdivision surface","level":3,"score":0.5056552886962891},{"id":"https://openalex.org/C206423108","wikidata":"https://www.wikidata.org/wiki/Q214728","display_name":"B\u00e9zier curve","level":2,"score":0.48263081908226013},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.4805877208709717},{"id":"https://openalex.org/C100374796","wikidata":"https://www.wikidata.org/wiki/Q926066","display_name":"B\u00e9zier surface","level":3,"score":0.4780224561691284},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.4686393439769745},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46858781576156616},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4544324278831482},{"id":"https://openalex.org/C3019099447","wikidata":"https://www.wikidata.org/wiki/Q19768","display_name":"Tool path","level":3,"score":0.448735773563385},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36103931069374084},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3080178499221802},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19652998447418213},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.1869012415409088},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13131707906723022},{"id":"https://openalex.org/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0010-4485(96)00051-6","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0010-4485(96)00051-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210171473","display_name":"Computer-Aided Design","issn_l":"0010-4485","issn":["0010-4485","1879-2685"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer-Aided Design","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s0010-4485(96)00051-6","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0010-4485(96)00051-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210171473","display_name":"Computer-Aided Design","issn_l":"0010-4485","issn":["0010-4485","1879-2685"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer-Aided Design","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W561371720","https://openalex.org/W658138367","https://openalex.org/W1763974748","https://openalex.org/W1964528971","https://openalex.org/W1981240885","https://openalex.org/W1984897426","https://openalex.org/W2008514036","https://openalex.org/W2014577800","https://openalex.org/W2034803724","https://openalex.org/W2044493218","https://openalex.org/W2059116251","https://openalex.org/W2076006312","https://openalex.org/W2094799378","https://openalex.org/W2095069333","https://openalex.org/W2121859020","https://openalex.org/W2133493855","https://openalex.org/W2153962084","https://openalex.org/W2336918561","https://openalex.org/W2806973091","https://openalex.org/W3011711492","https://openalex.org/W4242724835","https://openalex.org/W6641483012","https://openalex.org/W6679696003","https://openalex.org/W6751910140"],"related_works":["https://openalex.org/W2360889479","https://openalex.org/W2356764904","https://openalex.org/W2048887726","https://openalex.org/W2062803001","https://openalex.org/W2368320062","https://openalex.org/W1993974580","https://openalex.org/W3146523919","https://openalex.org/W2018134440","https://openalex.org/W2312631166","https://openalex.org/W2018991184"],"abstract_inverted_index":{"Sculptured":[0],"surfaces":[1,62],"used":[2,27,65],"in":[3,28,45],"automotive,":[4],"aerospace":[5],"and":[6,22,54],"naval":[7],"design":[8],"are":[9,32],"usually":[10],"mathematically":[11],"defined":[12],"by":[13],"parametric":[14,61,102],"forms":[15],"such":[16],"as":[17,80],"the":[18,43,52,55,60,68,106],"well-known":[19],"B\u00e9zier,":[20],"B-Spline":[21],"nurbs":[23,96],"representations.":[24],"Although":[25],"widely":[26],"many":[29],"applications,":[30],"they":[31],"not":[33],"ideal":[34],"for":[35,73,94],"NC":[36],"tool":[37,53],"path":[38],"generation,":[39],"primarily":[40],"because":[41],"of":[42,59,87,89],"difficulty":[44],"calculating":[46],"gouge":[47],"free":[48],"contact":[49,69],"points":[50],"between":[51],"surface.":[56],"Discrete":[57],"representations":[58],"can":[63],"be":[64,77],"to":[66],"simplify":[67],"point":[70],"calculation.":[71],"Algorithms":[72],"surface":[74],"discretization":[75],"may":[76],"broadly":[78],"classified":[79],"local,":[81],"global":[82],"or":[83],"subdivision":[84,104],"methods.":[85],"Implementations":[86],"each":[88],"these":[90],"classes":[91],"were":[92],"compared":[93],"five":[95],"surfaces.":[97],"An":[98],"algorithm":[99],"based":[100],"on":[101],"rectangular":[103],"produced":[105],"best":[107],"overall":[108],"performance.":[109]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}