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- Bézier_curve abstract "A Bézier curve is a parametric curve frequently used in computer graphics and related fields. Generalizations of Bézier curves to higher dimensions are called Bézier surfaces, of which the Bézier triangle is a special case.In vector graphics, Bézier curves are used to model smooth curves that can be scaled indefinitely. "Paths", as they are commonly referred to in image manipulation programs, are combinations of linked Bézier curves. Paths are not bound by the limits of rasterized images and are intuitive to modify. Bézier curves are also used in animation as a tool to control motion.Bézier curves are also used in the time domain, particularly in animation and interface design, e.g., a Bézier curve can be used to specify the velocity over time of an object such as an icon moving from A to B, rather than simply moving at a fixed number of pixels per step. When animators or interface designers talk about the "physics" or "feel" of an operation, they may be referring to the particular Bézier curve used to control the velocity over time of the move in question.The mathematical basis for Bézier curves — the Bernstein polynomial — has been known since 1912, but its applicability to graphics was understood half a century later.Bézier curves were widely publicized in 1962 by the French engineer Pierre Bézier, who used them to design automobile bodies at Renault. The study of these curves was however first developed in 1959 by mathematician Paul de Casteljau using de Casteljau's algorithm, a numerically stable method to evaluate Bézier curves, at Citroën, another French automaker.".
- Bézier_curve thumbnail Bezier_curve.svg?width=300.
- Bézier_curve wikiPageID "4664".
- Bézier_curve wikiPageRevisionID "605159977".
- Bézier_curve id "p/b110460".
- Bézier_curve title "Bézier Curve".
- Bézier_curve title "Bézier curve".
- Bézier_curve urlname "BezierCurve".
- Bézier_curve subject Category:Curves.
- Bézier_curve subject Category:Graphic_design.
- Bézier_curve subject Category:Interpolation.
- Bézier_curve subject Category:Splines.
- Bézier_curve comment "A Bézier curve is a parametric curve frequently used in computer graphics and related fields. Generalizations of Bézier curves to higher dimensions are called Bézier surfaces, of which the Bézier triangle is a special case.In vector graphics, Bézier curves are used to model smooth curves that can be scaled indefinitely. "Paths", as they are commonly referred to in image manipulation programs, are combinations of linked Bézier curves.".
- Bézier_curve label "Bézier curve".
- Bézier_curve label "Bézierkromme".
- Bézier_curve label "Bézierkurve".
- Bézier_curve label "Courbe de Bézier".
- Bézier_curve label "Curva de Bézier".
- Bézier_curve label "Curva de Bézier".
- Bézier_curve label "Curva di Bézier".
- Bézier_curve label "Krzywa Béziera".
- Bézier_curve label "Кривая Безье".
- Bézier_curve label "منحنى بيزيه".
- Bézier_curve label "ベジェ曲線".
- Bézier_curve label "貝茲曲線".
- Bézier_curve sameAs B%C3%A9zier_curve.
- Bézier_curve sameAs Bézierova_křivka.
- Bézier_curve sameAs Bézierkurve.
- Bézier_curve sameAs Καμπύλη_Μπεζιέ.
- Bézier_curve sameAs Curva_de_Bézier.
- Bézier_curve sameAs Bézier_kurba.
- Bézier_curve sameAs Courbe_de_Bézier.
- Bézier_curve sameAs Kurva_Bézier.
- Bézier_curve sameAs Curva_di_Bézier.
- Bézier_curve sameAs ベジェ曲線.
- Bézier_curve sameAs 베지에_곡선.
- Bézier_curve sameAs Bézierkromme.
- Bézier_curve sameAs Krzywa_Béziera.
- Bézier_curve sameAs Curva_de_Bézier.
- Bézier_curve sameAs Q214728.
- Bézier_curve sameAs Q214728.
- Bézier_curve wasDerivedFrom Bézier_curve?oldid=605159977.
- Bézier_curve depiction Bezier_curve.svg.
