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Paul de Casteljau
 
 
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Paul de Casteljau (born 1930 in Besançon, France), a physicist and mathematician at Citroën
Citroën

Citro?n is a France automobile manufacturer, founded in 1919 by Andr? Citro?n, it was the world's first mass-production car company outside of the USA....
, developed an algorithm
Algorithm

In mathematics, computing, linguistics and related subjects, an algorithm is a sequence of finite instructions, often used for calculation and data processing....
 for computation of a Bézier curve
Bézier curve

In the mathematics field of numerical analysis, a B?zier curve is a parametric curve important in computer graphics and related fields.Generalizations of B?zier curves to higher dimensions are called B?zier surfaces, of which the B?zier triangle is a special case....
, in 1959. Author of the book Mathématiques et CAO. Vol. 2: Formes à pôles from Hermes. De Casteljau's algorithm
De Casteljau's algorithm

In the mathematics subfield of numerical analysis the de Casteljau's algorithm, named after its inventor Paul de Casteljau, is a Recursion method to evaluate polynomials in Bernstein form or B?zier curves....
 is widely used although it might have gone through some modifications. De Casteljau's algorithm is the most robust and numerically stable method for evaluating polynomials, though it is slower for computing a single point than other methods, such as Horner's method (faster, less robust) and forward differencing (fastest, least robust).






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Paul de Casteljau (born 1930 in Besançon, France), a physicist and mathematician at Citroën
Citroën

Citro?n is a France automobile manufacturer, founded in 1919 by Andr? Citro?n, it was the world's first mass-production car company outside of the USA....
, developed an algorithm
Algorithm

In mathematics, computing, linguistics and related subjects, an algorithm is a sequence of finite instructions, often used for calculation and data processing....
 for computation of a Bézier curve
Bézier curve

In the mathematics field of numerical analysis, a B?zier curve is a parametric curve important in computer graphics and related fields.Generalizations of B?zier curves to higher dimensions are called B?zier surfaces, of which the B?zier triangle is a special case....
, in 1959. Author of the book Mathématiques et CAO. Vol. 2: Formes à pôles from Hermes. De Casteljau's algorithm
De Casteljau's algorithm

In the mathematics subfield of numerical analysis the de Casteljau's algorithm, named after its inventor Paul de Casteljau, is a Recursion method to evaluate polynomials in Bernstein form or B?zier curves....
 is widely used although it might have gone through some modifications. De Casteljau's algorithm is the most robust and numerically stable method for evaluating polynomials, though it is slower for computing a single point than other methods, such as Horner's method (faster, less robust) and forward differencing (fastest, least robust). However, De Casteljau's algorithm is still very fast for subdiving a Bézier curve
Bézier curve

In the mathematics field of numerical analysis, a B?zier curve is a parametric curve important in computer graphics and related fields.Generalizations of B?zier curves to higher dimensions are called B?zier surfaces, of which the B?zier triangle is a special case....
 into two curve segments at an arbitrary parametric location.