This also applies to robotics where the motion of a welding arm, for example, should be smooth to avoid unnecessary wear. 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. For example, 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. Paths are not bound by the limits of rasterized images and are intuitive to modify.īézier curves are also used in the time domain, particularly in animation, user interface design and smoothing cursor trajectory in eye gaze controlled interfaces. 'Paths', as they are commonly referred to in image manipulation programs, are combinations of linked Bézier curves. In vector graphics, Bézier curves are used to model smooth curves that can be scaled indefinitely. The Bézier triangle is a special case of the latter. Bézier curves can be combined to form a Bézier spline, or generalized to higher dimensions to form Bézier surfaces. Other uses include the design of computer fonts and animation. The Bézier curve is named after French engineer Pierre Bézier (1910–1999), who used it in the 1960s for designing curves for the bodywork of Renault cars. Usually the curve is intended to approximate a real-world shape that otherwise has no mathematical representation or whose representation is unknown or too complicated.

A set of discrete 'control points' defines a smooth, continuous curve by means of a formula. eɪ/ BEH-zee-ay) is a parametric curve used in computer graphics and related fields. The basis functions on the range t in for cubic Bézier curves: blue: y = (1 − t) 3, green: y = 3(1 − t) 2 t, red: y = 3(1 − t) t 2, and cyan: y = t 3.Ī Bézier curve ( / ˈ b ɛ z.

Curve tool illustrator