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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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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Abstract 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 index reduction of a polar form. This idea is used to show de Casteljau's algebraic way of smoothing, which long went unnoticed. We will also see an analytic polar form and its use in finding the intersection of two curves. The article summarises unpublished material on metric geometry. It includes theoretical advances, e.g., the 14-point strophoid or a way to link Apollonian circles with confocal conics, and also practical applications such as a recurrence for conjugate mirrors in geometric optics. A view on regular polygons leads to an approximation of their diagonals by golden matrices, a generalisation of the golden ratio. Relevant algebraic findings include matrix quaternions (and anti-quaternions) and their link with Lorentz' equations. De Casteljau generalised the Euclidean algorithm and developed an automated method for approximating the roots of a class of polynomial equations. His contributions to number theory not only include aspects on the sum of four squares as in quaternions, but also a view on a particular sum of three cubes. After a review of a complete quadrilateral in a heptagon and its angles, the paper concludes with a summary of de Casteljau's key achievements. The article contains a comprehensive bibliography of de Casteljau's works, including previously unpublished material. •Insight into de Casteljau's contributions to geometry, algebra, and number theory.•Algebraic smoothing with polar forms using Aitken, de Boor, de Casteljau.•Metric geometry advances: 14-point strophoid, geometric optics, regular polygon approximation.•Algebraic findings: matrix quaternions and a generalised Euclidean algorithm.•Summary of his mathematical œuvre, including a comprehensive bibliography.
AbstractList Whilst Paul de Casteljau is now famous for his fundamental algorithm of curve and surfaceapproximation, little is known about his other findings. This article offers an insight into hisresults in geometry, algebra and number theory.Related to geometry, his classical algorithm is reviewed as an index reduction of a polar form.This idea is used to show de Casteljau’s algebraic way of smoothing, which long went unnoticed. We will also see an analytic polar form and its use in finding the intersection of two curves. The article summarises unpublished material on metric geometry. It includes theoretical advances, e.g., the 14-point strophoid or a way to link Apollonian circles with confocal conics, and also practical applications such as a recurrence for conjugate mirrors in geometric optics. A view on regular polygons leads to an approximation of their diagonals by golden matrices, a generalisation of the golden ratio.Relevant algebraic findings include matrix quaternions (and anti-quaternions) and their link with Lorentz’ equations. De Casteljau generalised the Euclidean algorithm and developed an automated method for approximating the roots of a class of polynomial equations. His contributions to number theory not only include aspects on the sum of four squares as in quaternions, but also a view on a particular sum of three cubes. After a review of a complete quadrilateral in a heptagon and its angles, the paper concludes with a summary of de Casteljau’s key achievements.The article contains a comprehensive bibliography of de Casteljau’s works, including previouslyunpublished material. Si Paul de Casteljau est aujourd'hui célèbre pour son algorithme fondamental d'approximation de courbes et de surfaces, peu de choses sont connues sur ses autres découvertes. Cet article offer un aperçu de ses résultats en géométrie, algèbre et théorie des nombres.En ce qui concerne la géométrie, son algorithme classique est examiné en tant que réduction d'indice d'une forme polaire. Cette idée est utilisée pour montrer une lissage algébrique de de Casteljau, qui est longtemps passée inaperçue. Nous verrons également une forme polaire analytique et son utilisation pour trouver l'intersection de deux courbes. L'article résume des documents inédits sur la géométrie métrique. Il comprend des avancées théoriques, par exemple la strophoïde à 14 points ou une façon de relier les cercles apolliniens aux coniques homofocales, ainsi que des applications pratiques telles qu'une récurrence pour les miroirs conjugués en optique géométrique. Un point de vue sur les polygones réguliers conduit à une approximation de leurs diagonales par des matrices d'or, une généralisation du nombre d'or.Les découvertes algébriques pertinentes comprennent les quaternions matriciels (et les anti-quaternions) et leur lien avec les équations de Lorentz. De Casteljau a généralisé l'algorithme d'Euclide et a développé une méthode automatisée d'approximation des racines d'une classe d'équations polynomiales. Ses contributions à la théorie des nombres comprennent non seulement des aspects sur la somme de quatre carrés comme dans les quaternions, mais aussi un point de vue sur une somme particulière de trois cubes. Après un examen d'un quadrilatère complet dans un heptagone et de ses angles, l'article se termine par un résumé des principales réalisations de Casteljau.L'article contient une bibliographie complète des travaux de Casteljau, y compris des documents inédits.
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 index reduction of a polar form. This idea is used to show de Casteljau's algebraic way of smoothing, which long went unnoticed. We will also see an analytic polar form and its use in finding the intersection of two curves. The article summarises unpublished material on metric geometry. It includes theoretical advances, e.g., the 14-point strophoid or a way to link Apollonian circles with confocal conics, and also practical applications such as a recurrence for conjugate mirrors in geometric optics. A view on regular polygons leads to an approximation of their diagonals by golden matrices, a generalisation of the golden ratio. Relevant algebraic findings include matrix quaternions (and anti-quaternions) and their link with Lorentz' equations. De Casteljau generalised the Euclidean algorithm and developed an automated method for approximating the roots of a class of polynomial equations. His contributions to number theory not only include aspects on the sum of four squares as in quaternions, but also a view on a particular sum of three cubes. After a review of a complete quadrilateral in a heptagon and its angles, the paper concludes with a summary of de Casteljau's key achievements. The article contains a comprehensive bibliography of de Casteljau's works, including previously unpublished material. •Insight into de Casteljau's contributions to geometry, algebra, and number theory.•Algebraic smoothing with polar forms using Aitken, de Boor, de Casteljau.•Metric geometry advances: 14-point strophoid, geometric optics, regular polygon approximation.•Algebraic findings: matrix quaternions and a generalised Euclidean algorithm.•Summary of his mathematical œuvre, including a comprehensive bibliography.
ArticleNumber 102366
Author Müller, Andreas
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Cites_doi 10.1016/0021-9045(72)90080-9
10.1016/j.cagd.2024.102278
10.1007/s003659900096
10.1016/0010-4485(90)90025-8
10.1080/00029890.2007.11920398
10.1016/0167-8396(88)90023-4
10.1017/S0370164600024871
10.1080/0025570X.1989.11977459
10.1016/S0167-8396(99)00024-2
10.1007/BF02243625
10.1016/0010-4485(81)90213-X
10.1016/0167-8396(92)90007-C
10.1016/S0167-8396(99)00022-9
10.1017/S0013091500013808
10.1016/S0010-4485(01)00121-X
10.1093/imamat/10.2.134
10.1016/0167-8396(84)90003-7
10.1007/BF01444039
10.1016/S0167-8396(02)00130-9
10.1016/S0167-8396(99)00023-0
10.1093/comjnl/15.1.71
10.15388/NA.2008.13.3.14557
10.1016/0167-8396(93)90035-2
10.1051/jphysrad:0195600170102700
10.1016/S0167-8396(01)00056-5
10.1007/s11075-004-3642-9
10.1007/BF01888157
10.1080/0025570X.1997.11996494
10.1016/0898-1221(81)90060-2
10.1017/S0013091500035288
10.1016/j.cagd.2012.03.001
10.1016/S0021-9045(03)00117-5
10.1046/j.1365-8711.2003.06434.x
10.1016/0167-8396(89)90032-0
10.1137/S0036144502417715
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Keywords 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
Language English
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References Boehm (br0170) 1993; 10
Bézier (br0070) 1970
pp. 257–259.
de Boor (br0210) 1972; 6
(br0830) 1993
Akritas (br0030) 1981; 7
Laurent, Sablonnière (br0690) 2001; 18
Farouki (br0550) 2012; 29
Forrest (br0560) 1972; 15
Steinbach (br1090) 2000
Bézier (br0130) 1982; 4
de Casteljau P., 1963. Courbes et Surfaces à Pôles. Document no
.
Schweins (br1000) 1825
Guy (br0610) 2007; 114
Rabut (br0880) 2002; 34
de Faget de Casteljau (br1250) 1986; vol. 2
Bieri, Prautzsch (br0140) 1999; 16
Chipalkatti, Ryba (br0320) 2020; 9
Müller, Schultze (br0790) 1995
Godeaux (br0580) 1947
Prautzsch (br0860) 2023
Poitou (br0850) 1989
Smith (br1030) 2021
de Faget de Casteljau, Friedel (br1190) 1956; 17
de Faget de Casteljau (br1240) 1985; vol. 2
Ramshaw (br0900) 1987
Akritas, Strzebonski, Vigklas (br0040) 2008; 13
Boehm, Müller (br0190) 1999; 16
Ramshaw (br0910) 1989; 6
(br0590) 1993
Berrut, Trefethen (br0060) 2004; 46
de Faget de Casteljau (br1400) 2001; 16
Salmon (br0970) 1884
Klein (br0650) 1926
Klein (br0660) 1928
Bézier (br0080) 1971; 321
Haase (br0620) 1870; 2
pp. 247–268.
Farin (br0540) 1993
Neville (br0800) 1934; 20
Bézier (br0100) 1967; XII
Stachel (br1050) 2015; 12
de Faget de Casteljau (br1320) 1995
Mersenne (br0750) 1636
de Casteljau, P., 1966. Calcul de la Tolérance. Unpublished manuscript of 18 pages. Written in the department Outillage Méthodes Calcul at S.A. André Citroën.
Hamilton (br0630) 1865
Urban-Galindo, Ripalles (br1100) 2019
Nicolas (br0810) 2008
registered with the bailiff, unpublished. Written in the department Outillage Méthodes Calcul at S.A. André Citroën.
Müller (br0780) 2024
Stachel (br1040) 2015; 10
Whittaker (br1160) 1918; 36
Altmann (br0050) 1989; 62
de Faget de Casteljau (br1380) 2000
Marchouk (br0720) 1980
Seidel (br1010) 1988; 5
Gardan (br0570) 2023
Boehm (br0160) 1981; 13
de Faget de Casteljau (br0270) 1973
Plévert (br0840) 2011
Casciola, Morigi (br0260) 1996
Randow (br0930) 2010; 35
Willstrop, Lynden-Bell (br1180) 2003; 342
Aitken (br0020) 1932; 3
Miller (br0760) 1968; 263
Sanchez-Reyes (br0980) 1990; 22
Deltheil, Caire (br0520) 1950
Steinbach (br1080) 1997; 70
Waring (br1150) 1762
Versprille (br1120) 2013
Boehm, Farin, Kahmann (br0180) 1984; 1
Bouffard-Vercelli, R., 1971–1975. Courbes à pôles. In
de Casteljau (br1260) 1987
de Faget de Casteljau (br1370) 1999; 193
Carpo (br0250) 2017
(br0870) 2002
Cox (br0330) 1972; 10
Mazure (br0740) 2005; 39
Veronese (br1110) 1877; 3
de Casteljau (br1300) 1993
Sanchez-Reyes (br0990) 2002; 19
de Boor, Pinkus (br0220) 2003; 124
Gormaz (br0600) 1993
de Faget de Casteljau (br1310) 1994
Rodrigues (br0960) 1840; 1
Aitken (br0010) 1926; 45
de Faget de Casteljau (br1360) 1999; 16
Dahmen, Micchelli, Seidel (br0340) 1992; 59
Lucas (br0710) 1876; 2
(br0530) 1971–1975
de Faget de Casteljau (br1280) 1992
de Faget de Casteljau, P., 1995b. Géométrie Métrique: Essai de définition. Unpublished fragmented manuscript of 80 pages.
and English
Krautter, Parizot (br0670) 1971; 44
Bézier (br0110) 1968
Bézier (br0120) 1982; 4
Seidel (br1020) 1991; 7
Vincent (br1140) 1834; 1
de Faget de Casteljau, P., 1983. Formes à Pôles: Courbes et Surfaces à Pôles. Unpublished manuscript of 34 pages. Probably submitted to the Académie des Sciences.
Versprille (br1130) 1975
Ramshaw (br0920) 1991
Klein (br0640) 1895
Mazure (br0730) 1999; 15
Lagrange (br0680) 2008
Riesenfeld (br0950) 1973
Stefanus, Goldman (br1070) 1992; 9
Riabenki (br0940) 1974
Wildberger (br1170) 2021
Boehm (br0150) 1977; 18
de Faget de Casteljau (br1390) 2001; 16
Brocard, Lemoyne (br0240) 1919
de Faget de Casteljau (br1340) 1997
Bézier (br0090) 1966; XI
de Casteljau, P., 1959. Enveloppe Soleau 40.040. Document no
Müller (br0770) 1995
Böhm, Gose (br0200) 1977
Lemaître (br0700) 2009
Parizot, S., 1971–1975. Application à l'étude et à la réalisation de la carrosserie de la Citroën GS. In
registered at INPI Paris. Written in the department Outillage Méthodes Calcul at S.A. André Citroën.
de Faget de Casteljau (br1270) 1990
de Faget de Casteljau, P., 1992b. Mon temps chez Citroën. Manuscript of 3 pages on the occasion of his retirement. Translated into German
Stärk (br1060) 1976
de Casteljau (br1350) 1998
Rabut (br0890) 2024
Brocard (10.1016/j.cagd.2024.102366_br0240) 1919
de Faget de Casteljau (10.1016/j.cagd.2024.102366_br1340) 1997
de Faget de Casteljau (10.1016/j.cagd.2024.102366_br1320) 1995
Haase (10.1016/j.cagd.2024.102366_br0620) 1870; 2
Klein (10.1016/j.cagd.2024.102366_br0650) 1926-1927
Boehm (10.1016/j.cagd.2024.102366_br0160) 1981; 13
Miller (10.1016/j.cagd.2024.102366_br0760) 1968; 263
Sanchez-Reyes (10.1016/j.cagd.2024.102366_br0990) 2002; 19
Aitken (10.1016/j.cagd.2024.102366_br0010) 1926; 45
Aitken (10.1016/j.cagd.2024.102366_br0020) 1932; 3
Versprille (10.1016/j.cagd.2024.102366_br1130) 1975
Bézier (10.1016/j.cagd.2024.102366_br0080) 1971; 321
Boehm (10.1016/j.cagd.2024.102366_br0150) 1977; 18
Prautzsch (10.1016/j.cagd.2024.102366_br0860) 2023
Sanchez-Reyes (10.1016/j.cagd.2024.102366_br0980) 1990; 22
Seidel (10.1016/j.cagd.2024.102366_br1010) 1988; 5
de Faget de Casteljau (10.1016/j.cagd.2024.102366_br1190) 1956; 17
Poitou (10.1016/j.cagd.2024.102366_br0850) 1989
Guy (10.1016/j.cagd.2024.102366_br0610) 2007; 114
Müller (10.1016/j.cagd.2024.102366_br0770) 1995
Steinbach (10.1016/j.cagd.2024.102366_br1090) 2000
Casciola (10.1016/j.cagd.2024.102366_br0260) 1996
de Faget de Casteljau (10.1016/j.cagd.2024.102366_br1310) 1994
de Faget de Casteljau (10.1016/j.cagd.2024.102366_br1390) 2001; 16
Müller (10.1016/j.cagd.2024.102366_br0790) 1995
Urban-Galindo (10.1016/j.cagd.2024.102366_br1100) 2019
Deltheil (10.1016/j.cagd.2024.102366_br0520) 1950
Plévert (10.1016/j.cagd.2024.102366_br0840) 2011
Mersenne (10.1016/j.cagd.2024.102366_br0750) 1636
Schweins (10.1016/j.cagd.2024.102366_br1000) 1825
Dahmen (10.1016/j.cagd.2024.102366_br0340) 1992; 59
Akritas (10.1016/j.cagd.2024.102366_br0030) 1981; 7
de Faget de Casteljau (10.1016/j.cagd.2024.102366_br1370) 1999; 193
Steinbach (10.1016/j.cagd.2024.102366_br1080) 1997; 70
Carpo (10.1016/j.cagd.2024.102366_br0250) 2017
Riabenki (10.1016/j.cagd.2024.102366_br0940) 1974
Waring (10.1016/j.cagd.2024.102366_br1150) 1762
Bézier (10.1016/j.cagd.2024.102366_br0070) 1970
de Faget de Casteljau (10.1016/j.cagd.2024.102366_br0270) 1973
Mazure (10.1016/j.cagd.2024.102366_br0730) 1999; 15
Ramshaw (10.1016/j.cagd.2024.102366_br0910) 1989; 6
Klein (10.1016/j.cagd.2024.102366_br0660) 1928
de Casteljau (10.1016/j.cagd.2024.102366_br1300) 1993
Altmann (10.1016/j.cagd.2024.102366_br0050) 1989; 62
Smith (10.1016/j.cagd.2024.102366_br1030) 2021
10.1016/j.cagd.2024.102366_br1200
Whittaker (10.1016/j.cagd.2024.102366_br1160) 1918; 36
10.1016/j.cagd.2024.102366_br0230
Farin (10.1016/j.cagd.2024.102366_br0540) 1993
Akritas (10.1016/j.cagd.2024.102366_br0040) 2008; 13
Boehm (10.1016/j.cagd.2024.102366_br0180) 1984; 1
Neville (10.1016/j.cagd.2024.102366_br0800) 1934; 20
de Faget de Casteljau (10.1016/j.cagd.2024.102366_br1380) 2000
Stärk (10.1016/j.cagd.2024.102366_br1060) 1976
Godeaux (10.1016/j.cagd.2024.102366_br0580) 1947
Berrut (10.1016/j.cagd.2024.102366_br0060) 2004; 46
Randow (10.1016/j.cagd.2024.102366_br0930) 2010; 35
Böhm (10.1016/j.cagd.2024.102366_br0200) 1977
(10.1016/j.cagd.2024.102366_br0870) 2002
Lagrange (10.1016/j.cagd.2024.102366_br0680) 2008
Mazure (10.1016/j.cagd.2024.102366_br0740) 2005; 39
Lucas (10.1016/j.cagd.2024.102366_br0710) 1876; 2
de Casteljau (10.1016/j.cagd.2024.102366_br1260) 1987
10.1016/j.cagd.2024.102366_br1210
Bieri (10.1016/j.cagd.2024.102366_br0140) 1999; 16
10.1016/j.cagd.2024.102366_br1330
Boehm (10.1016/j.cagd.2024.102366_br0170) 1993; 10
Hamilton (10.1016/j.cagd.2024.102366_br0630)
Boehm (10.1016/j.cagd.2024.102366_br0190) 1999; 16
10.1016/j.cagd.2024.102366_br1290
de Faget de Casteljau (10.1016/j.cagd.2024.102366_br1240) 1985; vol. 2
Bézier (10.1016/j.cagd.2024.102366_br0120) 1982; 4
de Faget de Casteljau (10.1016/j.cagd.2024.102366_br1250) 1986; vol. 2
Riesenfeld (10.1016/j.cagd.2024.102366_br0950) 1973
Willstrop (10.1016/j.cagd.2024.102366_br1180) 2003; 342
de Casteljau (10.1016/j.cagd.2024.102366_br1350) 1998
Versprille (10.1016/j.cagd.2024.102366_br1120)
Rabut (10.1016/j.cagd.2024.102366_br0890) 2024
10.1016/j.cagd.2024.102366_br1220
Laurent (10.1016/j.cagd.2024.102366_br0690) 2001; 18
Ramshaw (10.1016/j.cagd.2024.102366_br0920) 1991
Bézier (10.1016/j.cagd.2024.102366_br0090) 1966; XI
(10.1016/j.cagd.2024.102366_br0590) 1993
Bézier (10.1016/j.cagd.2024.102366_br0130) 1982; 4
de Faget de Casteljau (10.1016/j.cagd.2024.102366_br1400) 2001; 16
Farouki (10.1016/j.cagd.2024.102366_br0550) 2012; 29
Chipalkatti (10.1016/j.cagd.2024.102366_br0320) 2020; 9
de Boor (10.1016/j.cagd.2024.102366_br0220) 2003; 124
Forrest (10.1016/j.cagd.2024.102366_br0560) 1972; 15
Müller (10.1016/j.cagd.2024.102366_br0780) 2024
Lemaître (10.1016/j.cagd.2024.102366_br0700) 2009
Marchouk (10.1016/j.cagd.2024.102366_br0720) 1980
de Faget de Casteljau (10.1016/j.cagd.2024.102366_br1280) 1992
Gormaz (10.1016/j.cagd.2024.102366_br0600) 1993
10.1016/j.cagd.2024.102366_br0820
Ramshaw (10.1016/j.cagd.2024.102366_br0900) 1987
Stefanus (10.1016/j.cagd.2024.102366_br1070) 1992; 9
Veronese (10.1016/j.cagd.2024.102366_br1110) 1877; 3
Rabut (10.1016/j.cagd.2024.102366_br0880) 2002; 34
10.1016/j.cagd.2024.102366_br1230
Bézier (10.1016/j.cagd.2024.102366_br0100) 1967; XII
Gardan (10.1016/j.cagd.2024.102366_br0570)
Nicolas (10.1016/j.cagd.2024.102366_br0810)
Wildberger (10.1016/j.cagd.2024.102366_br1170)
de Faget de Casteljau (10.1016/j.cagd.2024.102366_br1360) 1999; 16
Cox (10.1016/j.cagd.2024.102366_br0330) 1972; 10
Stachel (10.1016/j.cagd.2024.102366_br1050) 2015; 12
Seidel (10.1016/j.cagd.2024.102366_br1020) 1991; 7
(10.1016/j.cagd.2024.102366_br0530) 1971
Rodrigues (10.1016/j.cagd.2024.102366_br0960) 1840; 1
de Boor (10.1016/j.cagd.2024.102366_br0210) 1972; 6
Vincent (10.1016/j.cagd.2024.102366_br1140) 1834; 1
Krautter (10.1016/j.cagd.2024.102366_br0670) 1971; 44
Bézier (10.1016/j.cagd.2024.102366_br0110) 1968
Salmon (10.1016/j.cagd.2024.102366_br0970) 1884
Klein (10.1016/j.cagd.2024.102366_br0640) 1895
Stachel (10.1016/j.cagd.2024.102366_br1040) 2015; 10
(10.1016/j.cagd.2024.102366_br0830) 1993
de Faget de Casteljau (10.1016/j.cagd.2024.102366_br1270) 1990
References_xml – volume: 22
  start-page: 19
  year: 1990
  end-page: 26
  ident: br0980
  article-title: Single–valued curves in polar coordinates
  publication-title: Comput. Aided Des.
– year: 1995
  ident: br0770
  article-title: Neuere Gedanken des Monsieur Paul de Faget de Casteljau
– reference: de Casteljau P., 1963. Courbes et Surfaces à Pôles. Document no
– year: 1973
  ident: br0270
  article-title: Traité des Coniques. Montferrand, Château d'Abbans-Dessous
– reference: , registered at INPI Paris. Written in the department Outillage Méthodes Calcul at S.A. André Citroën.
– volume: 3
  start-page: 56
  year: 1932
  end-page: 76
  ident: br0020
  article-title: On interpolation by iteration of proportional parts without the use of differences
  publication-title: Proc. Edinb. Math. Soc.
– year: 1987
  ident: br0900
  article-title: Blossoming: a Connect-the-Dots Approach to Splines
– reference: ).
– start-page: 29
  year: 2019
  end-page: 50
  ident: br1100
  article-title: PLM at GROUPE PSA
  publication-title: The Case Studies
– year: 1990
  ident: br1270
  article-title: Le Lissage. Traité des Nouvelles Technologies
  publication-title: Série Mathématiques appliquées
– volume: XI
  start-page: 625
  year: 1966
  end-page: 632
  ident: br0090
  article-title: Définition Numérique des Courbes et Surfaces (I)
  publication-title: Automatisme
– volume: 10
  start-page: 134
  year: 1972
  end-page: 139
  ident: br0330
  article-title: The numerical evaluation of B-splines
  publication-title: IMA J. Appl. Math.
– volume: 4
  start-page: 256
  year: 1982
  end-page: 268
  ident: br0120
  article-title: Petite histoire d'une idée bizarre (1). De Renault Frères constructeurs d'automobiles à
  publication-title: Renault Régie Nationale
– year: 1950
  ident: br0520
  article-title: Géométrie (transformations - coniques)
– year: 1995
  ident: br0790
  article-title: Paul de Faget de Casteljau – Meine Zeit bei Citroën
– volume: 18
  start-page: 161
  year: 1977
  end-page: 166
  ident: br0150
  article-title: Über die Konstruktion von B-Spline-Kurven
  publication-title: Computing
– volume: 13
  start-page: 265
  year: 2008
  end-page: 279
  ident: br0040
  article-title: Improving the performance of the continued fractions method using new bounds of positive roots
  publication-title: Nonlinear Anal., Model. Control
– volume: 15
  start-page: 71
  year: 1972
  end-page: 79
  ident: br0560
  article-title: Interactive interpolation and approximation by Bézier polynomials
  publication-title: Comput. J.
– year: 2024
  ident: br0890
  article-title: On the very beginning of Paul de Casteljau's algorithm
  publication-title: Comput. Aided Geom. Des.
– start-page: 57
  year: 1992
  end-page: 68
  ident: br1280
  article-title: POLynomials, POLar Forms, and InterPOLation
  publication-title: Mathematical Methods in Computer Aided Geometric Design II
– year: 1974
  ident: br0940
  article-title: Локал1ные формулы гладкого восполнения и гладкой интерполяции функций по их значениям в узлах неравномерной прямоугольной сетки
– volume: 5
  start-page: 81
  year: 1988
  end-page: 86
  ident: br1010
  article-title: Knot insertion from a blossoming point of view
  publication-title: Comput. Aided Geom. Des.
– year: 2017
  ident: br0250
  article-title: The Second Digital Turn – Design Beyond Intelligence
– volume: 7
  start-page: 309
  year: 1981
  end-page: 317
  ident: br0030
  article-title: Vincent's forgotten theorem, its extension and application
  publication-title: Comput. Math. Appl.
– volume: 16
  start-page: 19
  year: 2001
  end-page: 31
  ident: br1390
  article-title: Au-delà du Nombre d'OR
  publication-title: Revue internationale de CFAO et d'informatique graphique
– volume: 45
  start-page: 14
  year: 1926
  end-page: 22
  ident: br0010
  article-title: A series formula for the roots of algebraic and transcendental equations
  publication-title: Proc. R. Soc. Edinb.
– year: 1825
  ident: br1000
  article-title: Theorie der Differenzen und Differentiale, der gedoppelten Verbindungen, der Producte mit Versetzungen, der Reihen, der wiederholenden Functionen, der allgemeinsten Facultäten und der fortlaufenden Brüche
– year: 1636
  ident: br0750
  article-title: Harmonie universelle contenant la théorie et la pratique de la musique
– year: 1895
  ident: br0640
  article-title: Über Arithmetisierung der Mathematik
  publication-title: Nachr. Ges. Wiss. Gött., Math.-Phys. Kl., 2
– year: 1993
  ident: br0830
  publication-title: Fundamental Developments of Computer-Aided Geometric Modeling
– year: 1975
  ident: br1130
  article-title: Computer-Aided Design Applications of the Rational B-Spline Approximation Form
– year: 2024
  ident: br0780
  article-title: Paul de Casteljau: The Story of my Adventure
  publication-title: Computer Aided Geometric Design
– reference: de Faget de Casteljau, P., 1983. Formes à Pôles: Courbes et Surfaces à Pôles. Unpublished manuscript of 34 pages. Probably submitted to the Académie des Sciences.
– year: 1993
  ident: br0540
  article-title: Curves and Surfaces for Computer Aided Geometric Design
– year: 1987
  ident: br1260
  article-title: Les Quaternions. Traité des Nouvelles Technologies
  publication-title: Série Mathématiques appliquées
– start-page: 35
  year: 2000
  end-page: 44
  ident: br1090
  article-title: Sections beyond golden
  publication-title: Bridges: Mathematical Connections in Art, Music, and Science; Conference Proceedings 2000, Bridges Conference, Winfield, Kansas
– volume: 2
  start-page: 515
  year: 1870
  end-page: 548
  ident: br0620
  article-title: Zur Theorie der ebenen Curven n-ter Ordnung mit
  publication-title: Math. Ann.
– start-page: 9
  year: 2000
  end-page: 15
  ident: br1380
  article-title: Intersections et Convergence
  publication-title: Curve and Surface design: Saint-Malo 99
– start-page: 91
  year: 1994
  end-page: 103
  ident: br1310
  article-title: Splines Focales
  publication-title: Curves and Surfaces in Computer Aided Geometric Design II
– year: 2008
  ident: br0810
  article-title: Jean Nicolas. Derrière les portes du bureau d'etudes citroën
– volume: 17
  start-page: 27
  year: 1956
  end-page: 32
  ident: br1190
  article-title: Étude de la résistivité et du pouvoir thermoélectrique des impuretés dissoutes dans les métaux nobles
  publication-title: J. Phys. Radium
– year: 1947
  ident: br0580
  article-title: Les Géométries
– volume: 6
  start-page: 50
  year: 1972
  end-page: 62
  ident: br0210
  article-title: On calculating with B-splines
  publication-title: J. Approx. Theory
– start-page: 1
  year: 1993
  end-page: 12
  ident: br1300
  article-title: Polar forms for curve and surface modeling as used at Citroën
  publication-title: Fundamental Developments of Computer-Aided Geometric Modeling
– volume: 10
  start-page: 175
  year: 1993
  end-page: 180
  ident: br0170
  article-title: An affine representation of de Casteljau's and de Boor's rational algorithms
  publication-title: Comput. Aided Geom. Des.
– volume: 18
  start-page: 609
  year: 2001
  end-page: 617
  ident: br0690
  article-title: Pierre Bézier: an engineer and a mathematician
  publication-title: Comput. Aided Geom. Des.
– year: 1928
  ident: br0660
  article-title: Vorlesungen über nicht-euklidische Geometrie
– volume: 4
  start-page: 319
  year: 1982
  end-page: 331
  ident: br0130
  article-title: Petite histoire d'une idée bizarre (2). De Renault Frères constructeurs d'automobiles à
  publication-title: Renault Régie Nationale
– volume: 59
  start-page: 97
  year: 1992
  end-page: 115
  ident: br0340
  article-title: Blossoming begets B-spline bases built better by B-patches
  publication-title: Math. Comput.
– volume: 16
  start-page: 357
  year: 2001
  end-page: 370
  ident: br1400
  article-title: Fantastique strophoïde rectangle
  publication-title: Revue internationale de CFAO et d'informatique graphique
– volume: 114
  start-page: 97
  year: 2007
  end-page: 141
  ident: br0610
  article-title: The Lighthouse Theorem, Morley & Malfatti: a budget of paradoxes
  publication-title: Am. Math. Mon.
– volume: 321
  start-page: 207
  year: 1971
  end-page: 218
  ident: br0080
  article-title: Example of an existing system in the motor industry: the unisurf system
  publication-title: Proc. R. Soc. A, Math. Phys. Eng. Sci.
– volume: 34
  start-page: 493
  year: 2002
  end-page: 510
  ident: br0880
  article-title: On Pierre Bézier's life and motivations
  publication-title: Comput. Aided Des.
– year: 1989
  ident: br0850
  article-title: Trente ans de CAO en France ou les petits enfants de Gaspard Monge
– reference: , registered with the bailiff, unpublished. Written in the department Outillage Méthodes Calcul at S.A. André Citroën.
– volume: 46
  start-page: 501
  year: 2004
  end-page: 517
  ident: br0060
  article-title: Barycentric Lagrange interpolation
  publication-title: SIAM Rev.
– volume: XII
  start-page: 17
  year: 1967
  end-page: 21
  ident: br0100
  article-title: Définition Numérique des Courbes et Surfaces (II)
  publication-title: Automatisme
– volume: vol. 2
  year: 1986
  ident: br1250
  article-title: Shape Mathematics and CAD
  publication-title: Mathematics and CAD
– year: 2021
  ident: br1170
  article-title: Algebraic calculus and dCB curves: polynumbers and de Casteljau Bézier curves
– volume: 62
  start-page: 291
  year: 1989
  end-page: 308
  ident: br0050
  article-title: Hamilton, Rodrigues, and the Quaternion Scandal
  publication-title: Math. Mag.
– year: 1996
  ident: br0260
  article-title: Modelling of curves and surfaces in polar and Cartesian coordinates
– year: 1926
  ident: br0650
  article-title: Vorlesungen über die Entwicklung der Mathematik im 19.Jahrhundert, vol. 1–2
– volume: 342
  start-page: 33
  year: 2003
  end-page: 49
  ident: br1180
  article-title: Exact optics - II. exploration of designs on- and off-axis
  publication-title: Mon. Not. R. Astron. Soc.
– volume: 263
  start-page: 525
  year: 1968
  end-page: 562
  ident: br0760
  article-title: Neville's and Romberg's processes: a fresh appraisal with extensions
  publication-title: Philos. Trans. R. Soc. Lond. Ser. A, Math. Phys. Sci.
– reference: Bouffard-Vercelli, R., 1971–1975. Courbes à pôles. In:
– volume: 13
  start-page: 365
  year: 1981
  end-page: 366
  ident: br0160
  article-title: Generating the Bézier points of B-spline curves and surfaces
  publication-title: Comput. Aided Des.
– volume: 3
  start-page: 649
  year: 1877
  end-page: 703
  ident: br1110
  article-title: Nuovi teoremi sull'heaxgrammum mysticum
  publication-title: Mem. R. Accad. Lincei
– year: 1884
  ident: br0970
  article-title: Traité de géométrie analytique à deux dimensions (sections coniques)
– year: 1968
  ident: br0110
  article-title: How Renault Uses Numerical Control for Car Body Design and Tooling
– year: 2013
  ident: br1120
  article-title: Just how did NURBS come to be? URL
– volume: 124
  start-page: 115
  year: 2003
  end-page: 123
  ident: br0220
  article-title: The B-spline recurrence relations of Chakalov and of Popoviciu
  publication-title: J. Approx. Theory
– year: 1919
  ident: br0240
  article-title: Courbes géométriques remarquables (courbes spéciales), planes & gauches. volume I
– reference: de Faget de Casteljau, P., 1992b. Mon temps chez Citroën. Manuscript of 3 pages on the occasion of his retirement. Translated into German (
– reference: , pp. 257–259.
– year: 1993
  ident: br0590
  publication-title: Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces
– start-page: 69
  year: 1997
  end-page: 76
  ident: br1340
  article-title: La Tolérance d'Usinage chez Citroën dans les Années (19)60
  publication-title: Curves and Surfaces with Applications in CAGD
– year: 2009
  ident: br0700
  article-title: Astronomical Optics and Elasticity Theory
– volume: 15
  start-page: 33
  year: 1999
  end-page: 68
  ident: br0730
  article-title: Blossoming: a geometrical approach
  publication-title: Constr. Approx.
– volume: 29
  start-page: 379
  year: 2012
  end-page: 419
  ident: br0550
  article-title: The Bernstein polynomial basis: a centennial retrospective
  publication-title: Comput. Aided Geom. Des.
– year: 2023
  ident: br0860
  article-title: The many aspects of de Casteljau's algorithm – a historical review
  publication-title: Talk at Computational Geometric Design (GD23), Genova
– reference: de Casteljau, P., 1966. Calcul de la Tolérance. Unpublished manuscript of 18 pages. Written in the department Outillage Méthodes Calcul at S.A. André Citroën.
– year: 1980
  ident: br0720
  article-title: Méthodes de Calcul Numérique
– year: 1993
  ident: br0600
  article-title: Floraisons polynomiales: applications à l'étude des B-splines à plusieurs variables
– volume: 70
  start-page: 22
  year: 1997
  end-page: 31
  ident: br1080
  article-title: Golden fields: a case for the heptagon
  publication-title: Math. Mag.
– volume: 2
  start-page: 97
  year: 1876
  end-page: 100
  ident: br0710
  article-title: Sur un problème d'Euler, relatif aux carrés magiques
  publication-title: Nouv. Corresp. Math.
– start-page: 677
  year: 1970
  end-page: 685
  ident: br0070
  article-title: Use of numerical control in the car industry for body drawing and stamping tool milling
  publication-title: Advances in Machine Tool Design and Research 1969: Proceedings of the 10th International M.T.D.R. Conference. University of Manchester, Institute of Science and Technology
– volume: 19
  start-page: 445
  year: 2002
  end-page: 464
  ident: br0990
  article-title: -Bézier curves, spirals, and sectrix curves
  publication-title: Comput. Aided Geom. Des.
– year: 1762
  ident: br1150
  article-title: Miscellanea Analytica de Æequationibus Algebraicis et Curvarum Proprietatibus
– reference: de Casteljau, P., 1959. Enveloppe Soleau 40.040. Document no
– start-page: 73
  year: 1995
  end-page: 82
  ident: br1320
  article-title: Courbes et Profils Esthétiques contre Fonctions Orthogonales (Histoire Vécue)
  publication-title: Mathematical Methods for Curves and Surfaces
– start-page: 6.1
  year: 1991
  end-page: 6.22
  ident: br0920
  article-title: The de Casteljau approach to quasi-interpolants
  publication-title: Blossoming: The New Polar Form Approach to Spline Curves and Surfaces
– volume: 16
  start-page: 583
  year: 1999
  end-page: 586
  ident: br1360
  article-title: De Casteljau's autobiography: My time at Citroën
  publication-title: Computer Aided Geometric Design
– volume: 1
  start-page: 1
  year: 1984
  end-page: 60
  ident: br0180
  article-title: A survey of curve and surface methods in CAGD
  publication-title: Comput. Aided Geom. Des.
– volume: 39
  start-page: 257
  year: 2005
  end-page: 288
  ident: br0740
  article-title: Blossoming stories
  publication-title: Numer. Algorithms
– volume: 1
  start-page: 1
  year: 1834
  end-page: 34
  ident: br1140
  article-title: Mémoire sur la résolution des équations numériques
  publication-title: Mém. Soc. Roy. Sci., Agr. Arts de Lille
– volume: 35
  start-page: 96
  year: 2010
  end-page: 100
  ident: br0930
  article-title: A generalization of the Vernier algorithm
  publication-title: Math. Sci.
– volume: 12
  start-page: 45
  year: 2015
  end-page: 59
  ident: br1050
  article-title: Strophoids are auto-isogonal cubics
  publication-title: Slovak J. Geom. Graph.
– year: 1977
  ident: br0200
  article-title: Einführung in die Methoden der Numerischen Mathematik
– year: 2011
  ident: br0840
  article-title: Pierre-Gilles de Gennes: A Life in Science
– year: 2002
  ident: br0870
  publication-title: Bézier and B-Spline Techniques
– volume: 193
  start-page: 91
  year: 1999
  end-page: 114
  ident: br1370
  article-title: In mémoriam Henri de Faget de Casteljau: Son autre passe-temps, la géométrie à travers l'hexagone de Pascal
  publication-title: Procès-verbaux et Mémoires de l'Académie des Sciences, Belles Lettres et Arts de Besançon et de Franche-Comté
– volume: 44
  start-page: 581
  year: 1971
  end-page: 587
  ident: br0670
  article-title: Système d'aide à la définition et à l'usinage de surfaces de carrosserie (SADUSCA)
  publication-title: Ing. Automob.
– year: 1976
  ident: br1060
  article-title: Mehrfach differenzierbare Bézierkurven und Bézierflächen
– volume: 9
  start-page: 114
  year: 2020
  end-page: 136
  ident: br0320
  article-title: Absolute projectivities in Pascal's multimysticum
  publication-title: Int. J. Geom.
– volume: 16
  start-page: 579
  year: 1999
  end-page: 581
  ident: br0140
  article-title: Preface to the Special Issue on Paul de Casteljau
  publication-title: Comput. Aided Geom. Des.
– year: 1865
  ident: br0630
– reference: ) and English (
– volume: 16
  start-page: 587
  year: 1999
  end-page: 605
  ident: br0190
  article-title: On de Casteljau's algorithm
  publication-title: Comput. Aided Geom. Des.
– volume: 6
  start-page: 323
  year: 1989
  end-page: 359
  ident: br0910
  article-title: Blossoms are polar forms
  publication-title: Comput. Aided Geom. Des.
– start-page: 77
  year: 1998
  end-page: 80
  ident: br1350
  article-title: Intersection methods of convergence
  publication-title: Geometric Modelling
– volume: vol. 2
  year: 1985
  ident: br1240
  article-title: Formes à Pôles
  publication-title: Mathématiques et CAO
– volume: 1
  start-page: 380
  year: 1840
  end-page: 440
  ident: br0960
  article-title: Des lois géométriques qui régissent les déplacements d'un système solide dans l'espace, et la variation des coordonnées provenant des ses déplacements considérés indépendamment des causes qui peuvent les produire
  publication-title: J. Math. Pures Appl.
– volume: 36
  start-page: 103
  year: 1918
  end-page: 106
  ident: br1160
  article-title: A formula for the solution of algebraic or transcendental equations
  publication-title: Proc. Edinb. Math. Soc.
– year: 2021
  ident: br1030
  article-title: A Biography of the Pixel
– year: 1971–1975
  ident: br0530
  publication-title: La carrosserie. Volume I
– volume: 7
  start-page: 257
  year: 1991
  end-page: 279
  ident: br1020
  article-title: Symmetric recursive algorithms for surfaces: B-patches and the de Boor Algorithm for polynomials over triangles
  publication-title: Constr. Approx.
– year: 1973
  ident: br0950
  article-title: Applications of B-Spline Approximation to Geometric Problems of Computer-Aided Design
– volume: 20
  start-page: 87
  year: 1934
  end-page: 120
  ident: br0800
  article-title: Iterative interpolation
  publication-title: J. Indian Math. Soc.
– reference: Parizot, S., 1971–1975. Application à l'étude et à la réalisation de la carrosserie de la Citroën GS. In:
– reference: de Faget de Casteljau, P., 1995b. Géométrie Métrique: Essai de définition. Unpublished fragmented manuscript of 80 pages.
– start-page: 9
  year: 2008
  end-page: 40
  ident: br0680
  article-title: Pierre Bézier - Témoignage
– volume: 9
  start-page: 73
  year: 1992
  end-page: 84
  ident: br1070
  article-title: Blossoming Marsden's identity
  publication-title: Comput. Aided Geom. Des.
– volume: 10
  start-page: 65
  year: 2015
  end-page: 72
  ident: br1040
  article-title: Strophoids, a family of cubic curves with remarkable properties
  publication-title: J. Ind. Des. Eng. Graph.
– reference: , pp. 247–268.
– year: 2023
  ident: br0570
  article-title: Hommage personnel à Paul de Faget de Casteljau
– volume: 6
  start-page: 50
  year: 1972
  ident: 10.1016/j.cagd.2024.102366_br0210
  article-title: On calculating with B-splines
  publication-title: J. Approx. Theory
  doi: 10.1016/0021-9045(72)90080-9
– year: 2024
  ident: 10.1016/j.cagd.2024.102366_br0780
  article-title: Paul de Casteljau: The Story of my Adventure
  publication-title: Computer Aided Geometric Design
  doi: 10.1016/j.cagd.2024.102278
– ident: 10.1016/j.cagd.2024.102366_br0570
– year: 2024
  ident: 10.1016/j.cagd.2024.102366_br0890
  article-title: On the very beginning of Paul de Casteljau's algorithm
  publication-title: Comput. Aided Geom. Des.
– volume: 15
  start-page: 33
  year: 1999
  ident: 10.1016/j.cagd.2024.102366_br0730
  article-title: Blossoming: a geometrical approach
  publication-title: Constr. Approx.
  doi: 10.1007/s003659900096
– volume: 22
  start-page: 19
  year: 1990
  ident: 10.1016/j.cagd.2024.102366_br0980
  article-title: Single–valued curves in polar coordinates
  publication-title: Comput. Aided Des.
  doi: 10.1016/0010-4485(90)90025-8
– ident: 10.1016/j.cagd.2024.102366_br1230
– volume: 114
  start-page: 97
  year: 2007
  ident: 10.1016/j.cagd.2024.102366_br0610
  article-title: The Lighthouse Theorem, Morley & Malfatti: a budget of paradoxes
  publication-title: Am. Math. Mon.
  doi: 10.1080/00029890.2007.11920398
– volume: 9
  start-page: 114
  year: 2020
  ident: 10.1016/j.cagd.2024.102366_br0320
  article-title: Absolute projectivities in Pascal's multimysticum
  publication-title: Int. J. Geom.
– year: 1926-1927
  ident: 10.1016/j.cagd.2024.102366_br0650
– start-page: 91
  year: 1994
  ident: 10.1016/j.cagd.2024.102366_br1310
  article-title: Splines Focales
– year: 1987
  ident: 10.1016/j.cagd.2024.102366_br1260
  article-title: Les Quaternions. Traité des Nouvelles Technologies
– year: 1993
  ident: 10.1016/j.cagd.2024.102366_br0590
– year: 1996
  ident: 10.1016/j.cagd.2024.102366_br0260
– year: 1993
  ident: 10.1016/j.cagd.2024.102366_br0600
– volume: 5
  start-page: 81
  year: 1988
  ident: 10.1016/j.cagd.2024.102366_br1010
  article-title: Knot insertion from a blossoming point of view
  publication-title: Comput. Aided Geom. Des.
  doi: 10.1016/0167-8396(88)90023-4
– ident: 10.1016/j.cagd.2024.102366_br1330
– volume: 45
  start-page: 14
  year: 1926
  ident: 10.1016/j.cagd.2024.102366_br0010
  article-title: A series formula for the roots of algebraic and transcendental equations
  publication-title: Proc. R. Soc. Edinb.
  doi: 10.1017/S0370164600024871
– volume: 62
  start-page: 291
  year: 1989
  ident: 10.1016/j.cagd.2024.102366_br0050
  article-title: Hamilton, Rodrigues, and the Quaternion Scandal
  publication-title: Math. Mag.
  doi: 10.1080/0025570X.1989.11977459
– start-page: 6.1
  year: 1991
  ident: 10.1016/j.cagd.2024.102366_br0920
  article-title: The de Casteljau approach to quasi-interpolants
– year: 1919
  ident: 10.1016/j.cagd.2024.102366_br0240
– year: 1928
  ident: 10.1016/j.cagd.2024.102366_br0660
– start-page: 9
  year: 2000
  ident: 10.1016/j.cagd.2024.102366_br1380
  article-title: Intersections et Convergence
– ident: 10.1016/j.cagd.2024.102366_br1210
– volume: 16
  start-page: 583
  year: 1999
  ident: 10.1016/j.cagd.2024.102366_br1360
  article-title: De Casteljau's autobiography: My time at Citroën
  publication-title: Computer Aided Geometric Design
  doi: 10.1016/S0167-8396(99)00024-2
– year: 1975
  ident: 10.1016/j.cagd.2024.102366_br1130
– year: 1971
  ident: 10.1016/j.cagd.2024.102366_br0530
– year: 1989
  ident: 10.1016/j.cagd.2024.102366_br0850
– year: 1987
  ident: 10.1016/j.cagd.2024.102366_br0900
– year: 1973
  ident: 10.1016/j.cagd.2024.102366_br0950
– year: 1995
  ident: 10.1016/j.cagd.2024.102366_br0790
– year: 1950
  ident: 10.1016/j.cagd.2024.102366_br0520
– start-page: 73
  year: 1995
  ident: 10.1016/j.cagd.2024.102366_br1320
  article-title: Courbes et Profils Esthétiques contre Fonctions Orthogonales (Histoire Vécue)
– volume: 44
  start-page: 581
  year: 1971
  ident: 10.1016/j.cagd.2024.102366_br0670
  article-title: Système d'aide à la définition et à l'usinage de surfaces de carrosserie (SADUSCA)
  publication-title: Ing. Automob.
– year: 1636
  ident: 10.1016/j.cagd.2024.102366_br0750
– year: 1980
  ident: 10.1016/j.cagd.2024.102366_br0720
– year: 1825
  ident: 10.1016/j.cagd.2024.102366_br1000
– volume: 18
  start-page: 161
  year: 1977
  ident: 10.1016/j.cagd.2024.102366_br0150
  article-title: Über die Konstruktion von B-Spline-Kurven
  publication-title: Computing
  doi: 10.1007/BF02243625
– volume: 321
  start-page: 207
  year: 1971
  ident: 10.1016/j.cagd.2024.102366_br0080
  article-title: Example of an existing system in the motor industry: the unisurf system
  publication-title: Proc. R. Soc. A, Math. Phys. Eng. Sci.
– volume: 13
  start-page: 365
  year: 1981
  ident: 10.1016/j.cagd.2024.102366_br0160
  article-title: Generating the Bézier points of B-spline curves and surfaces
  publication-title: Comput. Aided Des.
  doi: 10.1016/0010-4485(81)90213-X
– volume: 9
  start-page: 73
  year: 1992
  ident: 10.1016/j.cagd.2024.102366_br1070
  article-title: Blossoming Marsden's identity
  publication-title: Comput. Aided Geom. Des.
  doi: 10.1016/0167-8396(92)90007-C
– year: 1976
  ident: 10.1016/j.cagd.2024.102366_br1060
– volume: 4
  start-page: 256
  year: 1982
  ident: 10.1016/j.cagd.2024.102366_br0120
  article-title: Petite histoire d'une idée bizarre (1). De Renault Frères constructeurs d'automobiles à
  publication-title: Renault Régie Nationale
– year: 1884
  ident: 10.1016/j.cagd.2024.102366_br0970
– year: 1895
  ident: 10.1016/j.cagd.2024.102366_br0640
  article-title: Über Arithmetisierung der Mathematik
  publication-title: Nachr. Ges. Wiss. Gött., Math.-Phys. Kl., 2
– volume: 1
  start-page: 380
  issue: 5
  year: 1840
  ident: 10.1016/j.cagd.2024.102366_br0960
  article-title: Des lois géométriques qui régissent les déplacements d'un système solide dans l'espace, et la variation des coordonnées provenant des ses déplacements considérés indépendamment des causes qui peuvent les produire
  publication-title: J. Math. Pures Appl.
– year: 1947
  ident: 10.1016/j.cagd.2024.102366_br0580
– volume: 16
  start-page: 579
  year: 1999
  ident: 10.1016/j.cagd.2024.102366_br0140
  article-title: Preface to the Special Issue on Paul de Casteljau
  publication-title: Comput. Aided Geom. Des.
  doi: 10.1016/S0167-8396(99)00022-9
– volume: 263
  start-page: 525
  year: 1968
  ident: 10.1016/j.cagd.2024.102366_br0760
  article-title: Neville's and Romberg's processes: a fresh appraisal with extensions
  publication-title: Philos. Trans. R. Soc. Lond. Ser. A, Math. Phys. Sci.
– ident: 10.1016/j.cagd.2024.102366_br0810
– volume: 3
  start-page: 56
  year: 1932
  ident: 10.1016/j.cagd.2024.102366_br0020
  article-title: On interpolation by iteration of proportional parts without the use of differences
  publication-title: Proc. Edinb. Math. Soc.
  doi: 10.1017/S0013091500013808
– volume: vol. 2
  year: 1985
  ident: 10.1016/j.cagd.2024.102366_br1240
  article-title: Formes à Pôles
– volume: 4
  start-page: 319
  year: 1982
  ident: 10.1016/j.cagd.2024.102366_br0130
  article-title: Petite histoire d'une idée bizarre (2). De Renault Frères constructeurs d'automobiles à
  publication-title: Renault Régie Nationale
– volume: 10
  start-page: 65
  year: 2015
  ident: 10.1016/j.cagd.2024.102366_br1040
  article-title: Strophoids, a family of cubic curves with remarkable properties
  publication-title: J. Ind. Des. Eng. Graph.
– start-page: 1
  year: 1993
  ident: 10.1016/j.cagd.2024.102366_br1300
  article-title: Polar forms for curve and surface modeling as used at Citroën
– start-page: 77
  year: 1998
  ident: 10.1016/j.cagd.2024.102366_br1350
  article-title: Intersection methods of convergence
– volume: 34
  start-page: 493
  year: 2002
  ident: 10.1016/j.cagd.2024.102366_br0880
  article-title: On Pierre Bézier's life and motivations
  publication-title: Comput. Aided Des.
  doi: 10.1016/S0010-4485(01)00121-X
– year: 1993
  ident: 10.1016/j.cagd.2024.102366_br0540
– ident: 10.1016/j.cagd.2024.102366_br1220
– year: 1990
  ident: 10.1016/j.cagd.2024.102366_br1270
  article-title: Le Lissage. Traité des Nouvelles Technologies
– year: 1974
  ident: 10.1016/j.cagd.2024.102366_br0940
– year: 1993
  ident: 10.1016/j.cagd.2024.102366_br0830
– volume: 10
  start-page: 134
  year: 1972
  ident: 10.1016/j.cagd.2024.102366_br0330
  article-title: The numerical evaluation of B-splines
  publication-title: IMA J. Appl. Math.
  doi: 10.1093/imamat/10.2.134
– volume: 2
  start-page: 97
  year: 1876
  ident: 10.1016/j.cagd.2024.102366_br0710
  article-title: Sur un problème d'Euler, relatif aux carrés magiques
  publication-title: Nouv. Corresp. Math.
– start-page: 69
  year: 1997
  ident: 10.1016/j.cagd.2024.102366_br1340
  article-title: La Tolérance d'Usinage chez Citroën dans les Années (19)60
– start-page: 29
  year: 2019
  ident: 10.1016/j.cagd.2024.102366_br1100
  article-title: PLM at GROUPE PSA
– volume: 193
  start-page: 91
  year: 1999
  ident: 10.1016/j.cagd.2024.102366_br1370
  article-title: In mémoriam Henri de Faget de Casteljau: Son autre passe-temps, la géométrie à travers l'hexagone de Pascal
  publication-title: Procès-verbaux et Mémoires de l'Académie des Sciences, Belles Lettres et Arts de Besançon et de Franche-Comté
– volume: XII
  start-page: 17
  year: 1967
  ident: 10.1016/j.cagd.2024.102366_br0100
  article-title: Définition Numérique des Courbes et Surfaces (II)
  publication-title: Automatisme
– start-page: 677
  year: 1970
  ident: 10.1016/j.cagd.2024.102366_br0070
  article-title: Use of numerical control in the car industry for body drawing and stamping tool milling
– year: 1762
  ident: 10.1016/j.cagd.2024.102366_br1150
– volume: 1
  start-page: 1
  year: 1984
  ident: 10.1016/j.cagd.2024.102366_br0180
  article-title: A survey of curve and surface methods in CAGD
  publication-title: Comput. Aided Geom. Des.
  doi: 10.1016/0167-8396(84)90003-7
– volume: 16
  start-page: 19
  year: 2001
  ident: 10.1016/j.cagd.2024.102366_br1390
  article-title: Au-delà du Nombre d'OR
  publication-title: Revue internationale de CFAO et d'informatique graphique
– ident: 10.1016/j.cagd.2024.102366_br1200
– year: 1968
  ident: 10.1016/j.cagd.2024.102366_br0110
– volume: 2
  start-page: 515
  year: 1870
  ident: 10.1016/j.cagd.2024.102366_br0620
  article-title: Zur Theorie der ebenen Curven n-ter Ordnung mit (n−1)(n−2)2 Doppel- und Rückkehrpunkten
  publication-title: Math. Ann.
  doi: 10.1007/BF01444039
– volume: 19
  start-page: 445
  year: 2002
  ident: 10.1016/j.cagd.2024.102366_br0990
  article-title: p-Bézier curves, spirals, and sectrix curves
  publication-title: Comput. Aided Geom. Des.
  doi: 10.1016/S0167-8396(02)00130-9
– ident: 10.1016/j.cagd.2024.102366_br0230
– year: 2002
  ident: 10.1016/j.cagd.2024.102366_br0870
– ident: 10.1016/j.cagd.2024.102366_br1290
– volume: 16
  start-page: 587
  year: 1999
  ident: 10.1016/j.cagd.2024.102366_br0190
  article-title: On de Casteljau's algorithm
  publication-title: Comput. Aided Geom. Des.
  doi: 10.1016/S0167-8396(99)00023-0
– year: 2023
  ident: 10.1016/j.cagd.2024.102366_br0860
  article-title: The many aspects of de Casteljau's algorithm – a historical review
– year: 1973
  ident: 10.1016/j.cagd.2024.102366_br0270
– volume: 15
  start-page: 71
  year: 1972
  ident: 10.1016/j.cagd.2024.102366_br0560
  article-title: Interactive interpolation and approximation by Bézier polynomials
  publication-title: Comput. J.
  doi: 10.1093/comjnl/15.1.71
– year: 2017
  ident: 10.1016/j.cagd.2024.102366_br0250
– start-page: 35
  year: 2000
  ident: 10.1016/j.cagd.2024.102366_br1090
  article-title: Sections beyond golden
– volume: 13
  start-page: 265
  year: 2008
  ident: 10.1016/j.cagd.2024.102366_br0040
  article-title: Improving the performance of the continued fractions method using new bounds of positive roots
  publication-title: Nonlinear Anal., Model. Control
  doi: 10.15388/NA.2008.13.3.14557
– volume: vol. 2
  year: 1986
  ident: 10.1016/j.cagd.2024.102366_br1250
  article-title: Shape Mathematics and CAD
– ident: 10.1016/j.cagd.2024.102366_br0630
– year: 2021
  ident: 10.1016/j.cagd.2024.102366_br1030
– volume: 1
  start-page: 1
  year: 1834
  ident: 10.1016/j.cagd.2024.102366_br1140
  article-title: Mémoire sur la résolution des équations numériques
  publication-title: Mém. Soc. Roy. Sci., Agr. Arts de Lille
– volume: 12
  start-page: 45
  year: 2015
  ident: 10.1016/j.cagd.2024.102366_br1050
  article-title: Strophoids are auto-isogonal cubics
  publication-title: Slovak J. Geom. Graph.
– volume: 16
  start-page: 357
  year: 2001
  ident: 10.1016/j.cagd.2024.102366_br1400
  article-title: Fantastique strophoïde rectangle
  publication-title: Revue internationale de CFAO et d'informatique graphique
– year: 1995
  ident: 10.1016/j.cagd.2024.102366_br0770
– volume: 35
  start-page: 96
  year: 2010
  ident: 10.1016/j.cagd.2024.102366_br0930
  article-title: A generalization of the Vernier algorithm
  publication-title: Math. Sci.
– year: 2011
  ident: 10.1016/j.cagd.2024.102366_br0840
– volume: 20
  start-page: 87
  year: 1934
  ident: 10.1016/j.cagd.2024.102366_br0800
  article-title: Iterative interpolation
  publication-title: J. Indian Math. Soc.
– year: 1977
  ident: 10.1016/j.cagd.2024.102366_br0200
– volume: 10
  start-page: 175
  year: 1993
  ident: 10.1016/j.cagd.2024.102366_br0170
  article-title: An affine representation of de Casteljau's and de Boor's rational algorithms
  publication-title: Comput. Aided Geom. Des.
  doi: 10.1016/0167-8396(93)90035-2
– ident: 10.1016/j.cagd.2024.102366_br1170
– volume: 17
  start-page: 27
  year: 1956
  ident: 10.1016/j.cagd.2024.102366_br1190
  article-title: Étude de la résistivité et du pouvoir thermoélectrique des impuretés dissoutes dans les métaux nobles
  publication-title: J. Phys. Radium
  doi: 10.1051/jphysrad:0195600170102700
– year: 2009
  ident: 10.1016/j.cagd.2024.102366_br0700
– volume: XI
  start-page: 625
  year: 1966
  ident: 10.1016/j.cagd.2024.102366_br0090
  article-title: Définition Numérique des Courbes et Surfaces (I)
  publication-title: Automatisme
– start-page: 57
  year: 1992
  ident: 10.1016/j.cagd.2024.102366_br1280
  article-title: POLynomials, POLar Forms, and InterPOLation
– volume: 18
  start-page: 609
  year: 2001
  ident: 10.1016/j.cagd.2024.102366_br0690
  article-title: Pierre Bézier: an engineer and a mathematician
  publication-title: Comput. Aided Geom. Des.
  doi: 10.1016/S0167-8396(01)00056-5
– ident: 10.1016/j.cagd.2024.102366_br0820
– ident: 10.1016/j.cagd.2024.102366_br1120
– start-page: 9
  year: 2008
  ident: 10.1016/j.cagd.2024.102366_br0680
– volume: 39
  start-page: 257
  year: 2005
  ident: 10.1016/j.cagd.2024.102366_br0740
  article-title: Blossoming stories
  publication-title: Numer. Algorithms
  doi: 10.1007/s11075-004-3642-9
– volume: 7
  start-page: 257
  year: 1991
  ident: 10.1016/j.cagd.2024.102366_br1020
  article-title: Symmetric recursive algorithms for surfaces: B-patches and the de Boor Algorithm for polynomials over triangles
  publication-title: Constr. Approx.
  doi: 10.1007/BF01888157
– volume: 70
  start-page: 22
  year: 1997
  ident: 10.1016/j.cagd.2024.102366_br1080
  article-title: Golden fields: a case for the heptagon
  publication-title: Math. Mag.
  doi: 10.1080/0025570X.1997.11996494
– volume: 7
  start-page: 309
  year: 1981
  ident: 10.1016/j.cagd.2024.102366_br0030
  article-title: Vincent's forgotten theorem, its extension and application
  publication-title: Comput. Math. Appl.
  doi: 10.1016/0898-1221(81)90060-2
– volume: 3
  start-page: 649
  year: 1877
  ident: 10.1016/j.cagd.2024.102366_br1110
  article-title: Nuovi teoremi sull'heaxgrammum mysticum
  publication-title: Mem. R. Accad. Lincei
– volume: 36
  start-page: 103
  year: 1918
  ident: 10.1016/j.cagd.2024.102366_br1160
  article-title: A formula for the solution of algebraic or transcendental equations
  publication-title: Proc. Edinb. Math. Soc.
  doi: 10.1017/S0013091500035288
– volume: 29
  start-page: 379
  year: 2012
  ident: 10.1016/j.cagd.2024.102366_br0550
  article-title: The Bernstein polynomial basis: a centennial retrospective
  publication-title: Comput. Aided Geom. Des.
  doi: 10.1016/j.cagd.2012.03.001
– volume: 124
  start-page: 115
  year: 2003
  ident: 10.1016/j.cagd.2024.102366_br0220
  article-title: The B-spline recurrence relations of Chakalov and of Popoviciu
  publication-title: J. Approx. Theory
  doi: 10.1016/S0021-9045(03)00117-5
– volume: 342
  start-page: 33
  year: 2003
  ident: 10.1016/j.cagd.2024.102366_br1180
  article-title: Exact optics - II. exploration of designs on- and off-axis
  publication-title: Mon. Not. R. Astron. Soc.
  doi: 10.1046/j.1365-8711.2003.06434.x
– volume: 6
  start-page: 323
  year: 1989
  ident: 10.1016/j.cagd.2024.102366_br0910
  article-title: Blossoms are polar forms
  publication-title: Comput. Aided Geom. Des.
  doi: 10.1016/0167-8396(89)90032-0
– volume: 46
  start-page: 501
  year: 2004
  ident: 10.1016/j.cagd.2024.102366_br0060
  article-title: Barycentric Lagrange interpolation
  publication-title: SIAM Rev.
  doi: 10.1137/S0036144502417715
– volume: 59
  start-page: 97
  year: 1992
  ident: 10.1016/j.cagd.2024.102366_br0340
  article-title: Blossoming begets B-spline bases built better by B-patches
  publication-title: Math. Comput.
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Snippet 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...
Whilst Paul de Casteljau is now famous for his fundamental algorithm of curve and surfaceapproximation, little is known about his other findings. This article...
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StartPage 102366
SubjectTerms 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
Title A tour d'horizon of de Casteljau's work
URI https://dx.doi.org/10.1016/j.cagd.2024.102366
https://hal.science/hal-04667235
Volume 113
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