A tour d'horizon of de Casteljau's work
DOI10.1016/j.cagd.2024.102366MaRDI QIDQ6615384
Publication date: 8 October 2024
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
quaternionsquasi-interpolationgeometric opticsmetric geometryde Casteljau algorithmregular polygons14-point strophoidblossoming and polar formsgeneralised Euclidean algorithm
Computer science aspects of computer-aided design (68U07) Conformal mappings of special domains (30C20) Computer-aided design (modeling of curves and surfaces) (65D17) Ordered geometries (ordered incidence structures, etc.) (51G05) Reflection groups, reflection geometries (51F15) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Geometric optics (78A05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Bernstein polynomial basis: a centennial retrospective
- On interpolation by iteration of proportional parts, without the use of differences.
- On Pierre Bézier's life and motivations
- An affine representation of de Casteljau's and de Boor's rational algorithms
- Interactive interpolation and approximation by Bézier polynomials
- Symmetric recursive algorithms for surfaces: B-patches and the de Boor algorithm for polynomials over triangles
- Single-valued curves in polar coordinates
- Blossoms are polar forms
- A survey of curve and surface methods in CAGD
- Knot insertion from a blossoming point of view
- Vincent's forgotten theorem, its extension and application
- Blossoming Marsden's identity
- Über die Konstruktion von B-Spline-Kurven
- Blossoming: A geometrical approach
- The B-spline recurrence relations of Chakalov and of Popoviciu
- Vorlesungen über nicht-euklidische Geometrie. 3. Aufl. Für den Druck neu bearbeitet von W. Rosemann.
- Vorlesungen über die Entwickelung der Mathematik im 19. Jahrhundert. Bd. II. Bearbeitet von R. Courant und St. Cohn-Vossen.
- A series formula for the roots of algebraic and transcendental equations.
- On a problem of Euler related to magic squares.
- Pierre Bézier: An engineer and a mathematician
- Preface (in honor of Paul de Faget de Casteljau)
- De Casteljau's autobiography: my time at Citroën
- On de Casteljau's algorithm
- Bézier and B-spline techniques
- Blossoming stories
- On calculating with B-splines
- Hamilton, Rodrigues, and the Quaternion Scandal
- The Lighthouse Theorem, Morley & Malfatti– A Budget of Paradoxes
- Blossoming Begets B-Spline Bases Built Better by B-Patches
- Golden Fields: A Case for the Heptagon
- Barycentric Lagrange Interpolation
- Neville's and Romberg's processes: a fresh appraisal with extensions
- The Numerical Evaluation of B-Splines
- Courbes géométriques remarquables planes et gauches (courbes spéciales). Vol. 1.
- Traité de géométrie analytique à deux dimensions. Traduit de l'anglais par H. Resal et Vaucheret. \(2^{\text e}\) édition francaise par Vaucheret.
- On the theory of plane curve of order \(n\) with \(\frac{(n-1)(n-2)}{2}\) double points or cusps
This page was built for publication: A tour d'horizon of de Casteljau's work
