{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T04:01:48Z","timestamp":1776830508980,"version":"3.51.2"},"reference-count":30,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[2001,3,1]],"date-time":"2001-03-01T00:00:00Z","timestamp":983404800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computer Aided Geometric Design"],"published-print":{"date-parts":[[2001,3]]},"DOI":"10.1016\/s0167-8396(01)00016-4","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T17:16:12Z","timestamp":1027617372000},"page":"93-115","source":"Crossref","is-referenced-by-count":72,"title":["Construction and shape analysis of PH quintic Hermite interpolants"],"prefix":"10.1016","volume":"18","author":[{"given":"Hwan Pyo","family":"Moon","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rida T.","family":"Farouki","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hyeong In","family":"Choi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0167-8396(01)00016-4_BIB001","series-title":"Mathematical Methods for Curves and Surfaces","first-page":"1","article-title":"G2 approximation of an offset curve by Tschirnhausen quartics","author":"Ait Haddou","year":"1995"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB002","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1007\/BF02124754","article-title":"Construction of C2 Pythagorean-hodograph interpolating splines by the homotopy method","volume":"5","author":"Albrecht","year":"1996","journal-title":"Adv. Comput. Math."},{"key":"10.1016\/S0167-8396(01)00016-4_BIB003","series-title":"Path planning for mobile and hyper-redundant robots using Pythagorean-hodograph curves","author":"Bruyninckx","year":"1996"},{"issue":"1","key":"10.1016\/S0167-8396(01)00016-4_BIB004","doi-asserted-by":"crossref","first-page":"79","DOI":"10.6028\/jres.070B.005","article-title":"The Bernstein form of a polynomial","volume":"70B","author":"Cargo","year":"1966","journal-title":"J. Res. National Bureau of Standards"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB005","series-title":"Curves and Surfaces for Computer Aided Geometric Design","author":"Farin","year":"1997"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB006","series-title":"Mathematical Methods in Computer Aided Geometric Design","first-page":"239","article-title":"Hierarchical segmentations of algebraic curves and some applications","author":"Farouki","year":"1989"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB007","series-title":"Geometry Processing for Design and Manufacturing","first-page":"3","article-title":"Pythagorean-hodograph curves in practical use","author":"Farouki","year":"1992"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB008","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1016\/0167-8396(94)90204-6","article-title":"The conformal map z\u2192z2 of the hodograph plane","volume":"11","author":"Farouki","year":"1994","journal-title":"Comput. Aided Geom. Design"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB009","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1016\/0167-8396(95)00024-0","article-title":"The elastic bending energy of Pythagorean-hodograph curves","volume":"13","author":"Farouki","year":"1996","journal-title":"Comput. Aided Geom. Design"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB010","doi-asserted-by":"crossref","first-page":"669","DOI":"10.1016\/S0094-114X(97)00099-2","article-title":"Design of rational cam profiles with Pythagorean-hodograph curves","volume":"33","author":"Farouki","year":"1996","journal-title":"Mechanism and Machine Theory"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB011","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/S0890-6955(98)00018-2","article-title":"G codes for the specification of Pythagorean-hodograph tool paths and associated feedrate functions on open-architecture CNC machines","volume":"39","author":"Farouki","year":"1999","journal-title":"Internat. J. Machine Tools and Manufacture"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB012","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1016\/S0010-4485(98)00020-7","article-title":"Variable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves","volume":"30","author":"Farouki","year":"1998","journal-title":"Computer-Aided Design"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB013","series-title":"Geometric Modeling and Processing","first-page":"287","article-title":"Minkowski roots of complex sets","author":"Farouki","year":"2000"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB014","article-title":"Minkowski geometric algebra of complex sets","author":"Farouki","year":"2000","journal-title":"Geometriae Dedicata"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB015","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1023\/A:1018910412112","article-title":"Algorithms for Minkowski products and implicitly-defined complex sets","volume":"13","author":"Farouki","year":"2000","journal-title":"Adv. Comput. Math."},{"key":"10.1016\/S0167-8396(01)00016-4_BIB016","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/0167-8396(90)90023-K","article-title":"Analytic properties of plane offset curves & algebraic properties of plane offset curves","volume":"7","author":"Farouki","year":"1990","journal-title":"Comput. Aided Geom. Design"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB017","doi-asserted-by":"crossref","first-page":"1589","DOI":"10.1090\/S0025-5718-1995-1308452-6","article-title":"Hermite interpolation by Pythagorean-hodograph quintics","volume":"64","author":"Farouki","year":"1995","journal-title":"Math. Comp."},{"key":"10.1016\/S0167-8396(01)00016-4_BIB018","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0167-8396(88)90016-7","article-title":"Algorithms for polynomials in Bernstein form","volume":"5","author":"Farouki","year":"1988","journal-title":"Comput. Aided Geom. Design"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB019","doi-asserted-by":"crossref","first-page":"736","DOI":"10.1147\/rd.345.0736","article-title":"Pythagorean hodographs","volume":"34","author":"Farouki","year":"1990","journal-title":"IBM J. Res. Develop."},{"key":"10.1016\/S0167-8396(01)00016-4_BIB020","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1016\/0167-8396(95)00047-X","article-title":"Real-time CNC interpolators for Pythagorean-hodograph curves","volume":"13","author":"Farouki","year":"1996","journal-title":"Comput. Aided Geom. Design"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB021","doi-asserted-by":"crossref","DOI":"10.1090\/S0025-5718-00-01288-6","article-title":"Hermite interpolation by Pythagorean hodograph curves of degree seven","author":"J\u00fcttler","year":"2000","journal-title":"Math. Comp."},{"key":"10.1016\/S0167-8396(01)00016-4_BIB022","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1007\/BF01934076","article-title":"Bounds on a polynomial","volume":"21","author":"Lane","year":"1981","journal-title":"BIT"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB023","series-title":"Complex Analysis","author":"Lang","year":"1999"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB024","series-title":"Geometric Modeling and Processing '98","first-page":"187","article-title":"Computing rational offsets via medial axis transform using polynomial speed curves in R2,1","author":"Moon","year":"1998"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB025","doi-asserted-by":"crossref","first-page":"739","DOI":"10.1016\/S0167-8396(99)00016-3","article-title":"Minkowski Pythagorean hodographs","volume":"16","author":"Moon","year":"1999","journal-title":"Comput. Aided Geom. Design"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB026","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/0167-8396(94)00008-G","article-title":"Rational curves and surfaces with rational offsets","volume":"12","author":"Pottmann","year":"1995","journal-title":"Comput. Aided Geom. Design"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB027","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1007\/BF03028365","article-title":"Curve design with rational Pythagorean-hodograph curves","volume":"3","author":"Pottmann","year":"1995","journal-title":"Adv. Comput. Math."},{"issue":"1","key":"10.1016\/S0167-8396(01)00016-4_BIB028","first-page":"47","article-title":"Bounds on a polynomial","volume":"74B","author":"Rivlin","year":"1970","journal-title":"J. Res. National Bureau of Standards"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB029","series-title":"Theory of Machines and Mechanisms","author":"Shigley","year":"1980"},{"key":"10.1016\/S0167-8396(01)00016-4_BIB030","series-title":"Theory of Equations","author":"Uspensky","year":"1948"}],"container-title":["Computer Aided Geometric Design"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167839601000164?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167839601000164?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,25]],"date-time":"2019-04-25T03:28:28Z","timestamp":1556162908000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167839601000164"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,3]]},"references-count":30,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2001,3]]}},"alternative-id":["S0167839601000164"],"URL":"https:\/\/doi.org\/10.1016\/s0167-8396(01)00016-4","relation":{},"ISSN":["0167-8396"],"issn-type":[{"value":"0167-8396","type":"print"}],"subject":[],"published":{"date-parts":[[2001,3]]}}}