{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,21]],"date-time":"2026-01-21T06:09:34Z","timestamp":1768975774223,"version":"3.49.0"},"reference-count":17,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100011033","name":"State Agency of Research","doi-asserted-by":"publisher","award":["PID2024-158664NB-C21"],"award-info":[{"award-number":["PID2024-158664NB-C21"]}],"id":[{"id":"10.13039\/501100011033","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational and Applied Mathematics"],"published-print":{"date-parts":[[2026,7]]},"DOI":"10.1016\/j.cam.2025.117246","type":"journal-article","created":{"date-parts":[[2025,12,13]],"date-time":"2025-12-13T16:09:07Z","timestamp":1765642147000},"page":"117246","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Rational complex Bezier curves"],"prefix":"10.1016","volume":"480","author":[{"given":"A.","family":"Cant\u00f3n","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4872-6973","authenticated-orcid":false,"given":"L.","family":"Fern\u00e1ndez-Jambrina","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1338-3149","authenticated-orcid":false,"given":"M.J.","family":"V\u00e1zquez-Gallo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.cam.2025.117246_bib0001","series-title":"Curves and Surfaces for CAGD: A Practical Guide","author":"Farin","year":"2002"},{"key":"10.1016\/j.cam.2025.117246_bib0002","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-73398-0","article-title":"Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable","author":"Farouki","year":"2008"},{"issue":"4\u20135","key":"10.1016\/j.cam.2025.117246_bib0003","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/j.cagd.2007.11.003","article-title":"Curves with rational chord-length parametrization","volume":"25","author":"S\u00e1nchez-Reyes","year":"2008","journal-title":"Comput. Aided Geom. Design"},{"issue":"8","key":"10.1016\/j.cam.2025.117246_bib0004","doi-asserted-by":"crossref","first-page":"865","DOI":"10.1016\/j.cagd.2009.06.003","article-title":"Complex rational B\u00e9zier curves","volume":"26","author":"S\u00e1nchez-Reyes","year":"2009","journal-title":"Comput. Aided Geom. Des."},{"issue":"11","key":"10.1016\/j.cam.2025.117246_bib0005","doi-asserted-by":"crossref","first-page":"1413","DOI":"10.1016\/j.cad.2011.08.025","article-title":"Geometric characteristics of conics in B\u00e9zier form","volume":"43","author":"Cant\u00f3n","year":"2011","journal-title":"Comput. Aided Des."},{"key":"10.1016\/j.cam.2025.117246_bib0006","series-title":"Curves and Surfaces","first-page":"70","article-title":"Implicit equations of non-degenerate rational B\u00e9zier quadric triangles","volume":"9213","author":"Cant\u00f3n","year":"2015"},{"key":"10.1016\/j.cam.2025.117246_bib0007","doi-asserted-by":"crossref","first-page":"400","DOI":"10.1016\/j.cam.2016.01.006","article-title":"Geometric elements and classification of quadrics in rational B\u00e9zier form","volume":"300","author":"Cant\u00f3n","year":"2016","journal-title":"J. Comput. Appl. Math."},{"key":"10.1016\/j.cam.2025.117246_bib0008","doi-asserted-by":"crossref","DOI":"10.1016\/j.cagd.2023.102254","article-title":"Apollonian de Casteljau-type algorithms for complex rational B\u00e9zier curves","volume":"107","author":"J\u00fcttler","year":"2023","journal-title":"Comput. Aided Geom. Des."},{"key":"10.1016\/j.cam.2025.117246_bib0009","series-title":"NURBS: From Projective Geometry to Practical Use","author":"Farin","year":"1999"},{"issue":"5","key":"10.1016\/j.cam.2025.117246_bib0010","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1016\/S0167-8396(96)00036-2","article-title":"Generalizing rational degree elevation","volume":"14","author":"Denker","year":"1997","journal-title":"Comput. Aided Geom. Des."},{"key":"10.1016\/j.cam.2025.117246_bib0011","series-title":"Fundamentals of Computer Aided Geometric Design","author":"Hoschek","year":"1993"},{"key":"10.1016\/j.cam.2025.117246_bib0012","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-6323-4","article-title":"Algebraic Curves","author":"Walker","year":"1978"},{"issue":"7","key":"10.1016\/j.cam.2025.117246_bib0013","doi-asserted-by":"crossref","first-page":"529","DOI":"10.1016\/j.cagd.2007.09.004","article-title":"A unified approach to resultant matrices for bernstein basis polynomials","volume":"25","author":"Winkler","year":"2008","journal-title":"Comput. Aided Geom. Des."},{"issue":"6","key":"10.1016\/j.cam.2025.117246_bib0014","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1016\/0167-8396(92)90043-O","article-title":"The rational cubic B\u00e9zier representation of conics","volume":"9","author":"Wang","year":"1992","journal-title":"Comput. Aided Geom. Des."},{"key":"10.1016\/j.cam.2025.117246_bib0015","doi-asserted-by":"crossref","DOI":"10.1016\/j.cagd.2023.102266","article-title":"Conics in rational cubic B\u00e9zier form made simple","volume":"108","author":"S\u00e1nchez-Reyes","year":"2024","journal-title":"Comput. Aided Geom. Des."},{"issue":"9","key":"10.1016\/j.cam.2025.117246_bib0016","doi-asserted-by":"crossref","first-page":"850","DOI":"10.1016\/j.cagd.2007.10.003","article-title":"Division algorithms for Bernstein polynomials","volume":"25","author":"Bus\u00e9","year":"2008","journal-title":"Comput. Aided Geom. Des."},{"key":"10.1016\/j.cam.2025.117246_bib0017","series-title":"A Catalog of Special Plane Curves","author":"Lawrence","year":"1972"}],"container-title":["Journal of Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042725007605?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042725007605?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,1,20]],"date-time":"2026-01-20T17:30:54Z","timestamp":1768930254000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0377042725007605"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7]]},"references-count":17,"alternative-id":["S0377042725007605"],"URL":"https:\/\/doi.org\/10.1016\/j.cam.2025.117246","relation":{},"ISSN":["0377-0427"],"issn-type":[{"value":"0377-0427","type":"print"}],"subject":[],"published":{"date-parts":[[2026,7]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Rational complex Bezier curves","name":"articletitle","label":"Article Title"},{"value":"Journal of Computational and Applied Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cam.2025.117246","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"117246"}}