A tour d'horizon of de Casteljau's work

Whilst Paul de Casteljau is now famous for his fundamental algorithm of curve and surface approximation, little is known about his other findings. This article offers an insight into his results in geometry, algebra and number theory. Related to geometry, his classical algorithm is reviewed as an in...

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Bibliographic Details
Published in:	Computer aided geometric design Vol. 113; p. 102366
Main Author:	Müller, Andreas
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.09.2024 Elsevier
Subjects:	14-point strophoid Blossoming and polar forms Computational Geometry Computer Science de Casteljau algorithm Differential Geometry General Mathematics Generalised Euclidean algorithm Geometric optics Mathematics Metric Geometry Number Theory Optics Physics Quasi-interpolation Quaternions Regular polygons Quasi-interpolation 11B39 30C20 01A70 78A05 de Casteljau algorithm 11R52 Metric geometry 68U07 51F15 35Q60 Blossoming and polar forms Generalised Euclidean algorithm 51G05 Quaternions 14-point strophoid Geometric optics 65D17 Regular polygons Polar form Quaternion Blossoming Euclidean Algorithm Regular polygon Generalised Euclidean Algorithm De Casteljau algorithm
ISSN:	0167-8396
Online Access:	Get full text
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