Editing Bézier curve (section)

==Invention==
The mathematical basis for Bézier curves—the [[Bernstein polynomial]]s—was established in 1912, but the [[polynomial]]s were not applied to graphics until some 50 years later when mathematician [[Paul de Casteljau]] in 1959 developed [[de Casteljau's algorithm]], a [[numerical stability|numerically stable]] method for evaluating the curves, and became the first to apply them to computer-aided design at French automaker [[Citroën]].<ref name="FarinHoschek2002">{{cite book |author1=Gerald E. Farin |author2=Josef Hoschek |author3=Myung-Soo Kim |title=Handbook of Computer Aided Geometric Design |url=https://books.google.com/books?id=0SV5G8fgxLoC&pg=PA4 |year=2002 |publisher=Elsevier |isbn=978-0-444-51104-1 |pages=4–6}}</ref> De Casteljau's method was patented in France but not published until the 1980s<ref name="deCasteljau1986">{{cite book |author=Paul de Casteljau|title=Mathématiques et CAO. Tome 2 : Formes à pôles|date=1986 |publisher=Hermès |isbn=9782866010423}}</ref> while the Bézier polynomials were widely publicised in the 1960s by the [[France|French]] engineer [[Pierre Bézier]], who discovered them independently and used them to design [[automobile]] bodies at [[Renault]].