What does bézier curve mean?
Definitions for bézier curve
bézier curve
This dictionary definitions page includes all the possible meanings, example usage and translations of the word bézier curve.
Wiktionary
Bézier curvenoun
A parametric curve defined by a set of control points, two of which are the ends of the curve, and the others determine its shape. Bézier curves are applied e.g. in computer graphics to produce smooth, infinitely scalable curves.
Wikipedia
Bézier curve
A Bézier curve (pronounced [bezje] in French) is a parametric curve used in computer graphics and related fields. The curve, which is related to the Bernstein polynomial, is named after Pierre Bézier, who used it in the 1960s for designing curves for the bodywork of Renault cars. Other uses include the design of computer fonts and animation. Bézier curves can be combined to form a Bézier spline, or generalized to higher dimensions to form Bézier surfaces. The Bézier triangle is a special case of the latter. 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 the time domain, particularly in animation, user interface design and smoothing cursor trajectory in eye gaze controlled interfaces. 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. 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. This also applies to robotics where the motion of a welding arm, for example, should be smooth to avoid unnecessary wear. The mathematical basis for Bézier curves—the Bernstein polynomial—had been known since 1912, but the polynomials were not applied to graphics until some 50 years later, when they were widely publicised 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.
Numerology
Chaldean Numerology
The numerical value of bézier curve in Chaldean Numerology is: 3
Pythagorean Numerology
The numerical value of bézier curve in Pythagorean Numerology is: 3
Translations for bézier curve
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"bézier curve." Definitions.net. STANDS4 LLC, 2024. Web. 27 Apr. 2024. <https://www.definitions.net/definition/b%C3%A9zier+curve>.
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