{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,5]],"date-time":"2026-06-05T06:55:36Z","timestamp":1780642536969,"version":"3.54.1"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2013,4,18]],"date-time":"2013-04-18T00:00:00Z","timestamp":1366243200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Engineering with Computers"],"published-print":{"date-parts":[[2014,10]]},"DOI":"10.1007\/s00366-013-0318-x","type":"journal-article","created":{"date-parts":[[2013,4,17]],"date-time":"2013-04-17T11:41:41Z","timestamp":1366198901000},"page":"703-714","source":"Crossref","is-referenced-by-count":12,"title":["It is time to drop the \u201cR\u201d from NURBS"],"prefix":"10.1007","volume":"30","author":[{"given":"Les A.","family":"Piegl","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wayne","family":"Tiller","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Khairan","family":"Rajab","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2013,4,18]]},"reference":[{"key":"318_CR1","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/S0377-0427(97)00037-X","volume":"81","author":"YJ Ahn","year":"1997","unstructured":"Ahn YJ, Kim HO (1997) Approximation of circular arcs by Bezier curves. J Comput Appl Math 81:145\u2013163","journal-title":"J Comput Appl Math"},{"issue":"8","key":"318_CR2","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1109\/MCG.1987.276918","volume":"7","author":"J Blinn","year":"1987","unstructured":"Blinn J (1987) How many ways can you draw a circle? IEEE Comput Graphics Appl 7(8):39\u201344","journal-title":"IEEE Comput Graphics Appl"},{"key":"318_CR3","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1016\/0010-4485(95)00066-6","volume":"28","author":"D-P Chen","year":"1996","unstructured":"Chen D-P (1996) Formulations of composite parametric cubic curves and circle approximations. Comput Aided Des 28:567\u2013573","journal-title":"Comput Aided Des"},{"key":"318_CR4","doi-asserted-by":"crossref","first-page":"1222","DOI":"10.1016\/j.ijmachtools.2004.11.010","volume":"45","author":"RJ Cripps","year":"2005","unstructured":"Cripps RJ, Lockyer PS (2005) Circle approximation for CADCAM using orthogonal C2 cubic B-splines. Int J Mach Tools Manuf 45:1222\u20131229","journal-title":"Int J Mach Tools Manuf"},{"key":"318_CR5","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/0167-8396(90)90019-N","volume":"7","author":"T Dokken","year":"1990","unstructured":"Dokken T, Daehlen M, Lyche T, Morken K (1990) Good approximation of circles by curvature-continuous Bezier curves. Comput Aided Geom Des 7:33\u201341","journal-title":"Comput Aided Geom Des"},{"key":"318_CR6","doi-asserted-by":"crossref","first-page":"843","DOI":"10.1016\/S0167-8396(98)00019-3","volume":"15","author":"L Fang","year":"1998","unstructured":"Fang L (1998) Circular arc approximation by quintic polynomial curves. Comput Aided Geom Des 15:843\u2013861","journal-title":"Comput Aided Geom Des"},{"key":"318_CR7","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1016\/0167-8396(91)90007-X","volume":"8","author":"M Goldapp","year":"1991","unstructured":"Goldapp M (1991) Approximation of circular arcs by cubic polynomials. Comput Aided Geom Des 8:227\u2013238","journal-title":"Comput Aided Geom Des"},{"key":"318_CR8","doi-asserted-by":"crossref","first-page":"1183","DOI":"10.1016\/j.cam.2011.08.002","volume":"236","author":"S Hur","year":"2011","unstructured":"Hur S, Kim T-W (2011) The best G1 cubic and G2 quartic B\u00e9zier approximations of circular arcs. J Comput Appl Math 236:1183\u20131192","journal-title":"J Comput Appl Math"},{"key":"318_CR9","doi-asserted-by":"crossref","first-page":"490","DOI":"10.1016\/j.cad.2007.01.004","volume":"39","author":"S-H Kim","year":"2007","unstructured":"Kim S-H, Ahn YJ (2007) An approximation of circular arcs by quartic B\u00e9zier curves. Comput Aided Des 39:490\u2013493","journal-title":"Comput Aided Des"},{"issue":"8","key":"318_CR10","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1016\/0010-4485(95)00078-X","volume":"28","author":"I-K Lee","year":"1975","unstructured":"Lee I-K, Kim M-S, Elber G (1975) Planar curve offset based on circle approximation. Comput Aided Des 28(8):617\u2013630","journal-title":"Comput Aided Des"},{"key":"318_CR11","doi-asserted-by":"crossref","first-page":"1192","DOI":"10.1016\/j.camwa.2011.12.036","volume":"63","author":"L Lu","year":"2012","unstructured":"Lu L (2012) On polynomial approximation of circular arcs and helices. Comput Math Appl 63:1192\u20131196","journal-title":"Comput Math Appl"},{"key":"318_CR12","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1016\/B978-0-12-438660-0.50052-2","volume-title":"Curves and surfaces","author":"K Morken","year":"1991","unstructured":"Morken K (1991) Best approximation of circle segments by quadratic Bezier curves. In: Laurent PJ, Le Mehaute A, Schumaker LL (eds) Curves and surfaces. Academic Press, Boston, pp 331\u2013336"},{"key":"318_CR13","doi-asserted-by":"crossref","first-page":"817","DOI":"10.1016\/j.cad.2010.05.003","volume":"42","author":"V Pateloup","year":"2010","unstructured":"Pateloup V, Duc E, Ray P (2010) B-spline approximation of circle arc and straight line for pocket machining. Comput Aided Des 42:817\u2013827","journal-title":"Comput Aided Des"},{"issue":"5","key":"318_CR14","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1109\/38.35537","volume":"9","author":"L Piegl","year":"1989","unstructured":"Piegl L, Tiller W (1989) A menagerie of rational B-spline circles. IEEE Comput Graphics Appl 9(5):48\u201356","journal-title":"IEEE Comput Graphics Appl"},{"key":"318_CR15","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-59223-2","volume-title":"The NURBS Book","author":"L Piegl","year":"1997","unstructured":"Piegl L, Tiller W (1997) The NURBS Book, 2nd edn. Springer, New York","edition":"2"},{"key":"318_CR16","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1016\/S0010-4485(02)00096-9","volume":"35","author":"L Piegl","year":"2003","unstructured":"Piegl L, Tiller W (2003) Circle approximation using integral B-splines. Comput Aided Des 35:601\u2013607","journal-title":"Comput Aided Des"},{"issue":"6","key":"318_CR17","doi-asserted-by":"crossref","first-page":"719","DOI":"10.1080\/16864360.2006.10738425","volume":"3","author":"LA Piegl","year":"2006","unstructured":"Piegl LA (2006) Knowledge-guided NURBS: principles and architecture. Comput Aided Des Appl 3(6):719\u2013729","journal-title":"Comput Aided Des Appl"},{"key":"318_CR18","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1016\/0166-3615(82)90041-0","volume":"3","author":"G Renner","year":"1982","unstructured":"Renner G (1982) A method of shape description for mechanical engineering practice. Comput Ind 3:137\u2013142","journal-title":"Comput Ind"},{"key":"318_CR19","first-page":"371","volume":"35","author":"A Ri\u0161kus","year":"2006","unstructured":"Ri\u0161kus A (2006) Approximation of a cubic B\u00e9zier curve by circular arcs and vice versa. Inf Technol Control 35:371\u2013378","journal-title":"Inf Technol Control"},{"key":"318_CR20","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1016\/S0010-4485(96)00084-X","volume":"29","author":"J Sanchez-Reyes","year":"1997","unstructured":"Sanchez-Reyes J (1997) Higher-order Bezier circles. Comput Aided Des 29:469\u2013472","journal-title":"Comput Aided Des"}],"container-title":["Engineering with Computers"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-013-0318-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00366-013-0318-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-013-0318-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T10:44:46Z","timestamp":1559040286000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00366-013-0318-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,4,18]]},"references-count":20,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2014,10]]}},"alternative-id":["318"],"URL":"https:\/\/doi.org\/10.1007\/s00366-013-0318-x","relation":{},"ISSN":["0177-0667","1435-5663"],"issn-type":[{"value":"0177-0667","type":"print"},{"value":"1435-5663","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,4,18]]}}}