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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 the time domain, particularly in animation and user interface design. 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 — 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 wikiPageExternalLink cagd.
- Bézier_curve wikiPageExternalLink implementing-bezier-curves-in-games.html.
- Bézier_curve wikiPageExternalLink index.html.
- Bézier_curve wikiPageExternalLink bernstein.pdf.
- Bézier_curve wikiPageExternalLink bezierinfo.
- Bézier_curve wikiPageExternalLink 106757336.
- Bézier_curve wikiPageExternalLink bezier18122002.pdf.
- Bézier_curve wikiPageExternalLink 2.
- Bézier_curve wikiPageExternalLink Bezier_curves.pdf.
- Bézier_curve wikiPageExternalLink tinyspline.
- Bézier_curve wikiPageID "4664".
- Bézier_curve wikiPageLength "35500".
- Bézier_curve wikiPageOutDegree "110".
- Bézier_curve wikiPageRevisionID "680717975".
- Bézier_curve wikiPageWikiLink Adobe_Flash.
- Bézier_curve wikiPageWikiLink Adobe_Illustrator.
- Bézier_curve wikiPageWikiLink Affine_transformation.
- Bézier_curve wikiPageWikiLink Algebraic_curve.
- Bézier_curve wikiPageWikiLink American_Mathematical_Society.
- Bézier_curve wikiPageWikiLink Analysis_of_algorithms.
- Bézier_curve wikiPageWikiLink Animation.
- Bézier_curve wikiPageWikiLink Asymptote_(vector_graphics_language).
- Bézier_curve wikiPageWikiLink Automobile.
- Bézier_curve wikiPageWikiLink B-spline.
- Bézier_curve wikiPageWikiLink Bernstein_polynomial.
- Bézier_curve wikiPageWikiLink Binomial_coefficient.
- Bézier_curve wikiPageWikiLink Binomial_theorem.
- Bézier_curve wikiPageWikiLink Bézier_surface.
- Bézier_curve wikiPageWikiLink Bézier_triangle.
- Bézier_curve wikiPageWikiLink Car.
- Bézier_curve wikiPageWikiLink Category:Curves.
- Bézier_curve wikiPageWikiLink Category:Graphic_design.
- Bézier_curve wikiPageWikiLink Category:Interpolation.
- Bézier_curve wikiPageWikiLink Circle.
- Bézier_curve wikiPageWikiLink Citroën.
- Bézier_curve wikiPageWikiLink Collinear.
- Bézier_curve wikiPageWikiLink Collinearity.
- Bézier_curve wikiPageWikiLink Composite_Bézier_curve.
- Bézier_curve wikiPageWikiLink Computationally_expensive.
- Bézier_curve wikiPageWikiLink Computer_Graphics:_Principles_and_Practice.
- Bézier_curve wikiPageWikiLink Computer_graphics.
- Bézier_curve wikiPageWikiLink Conic_section.
- Bézier_curve wikiPageWikiLink Control_point_(mathematics).
- Bézier_curve wikiPageWikiLink Convex_hull.
- Bézier_curve wikiPageWikiLink CorelDRAW.
- Bézier_curve wikiPageWikiLink CorelDraw.
- Bézier_curve wikiPageWikiLink Cubic_Hermite_spline.
- Bézier_curve wikiPageWikiLink Cubic_function.
- Bézier_curve wikiPageWikiLink De_Casteljaus_algorithm.
- Bézier_curve wikiPageWikiLink Dimension.
- Bézier_curve wikiPageWikiLink Donald_Knuth.
- Bézier_curve wikiPageWikiLink Empty_product.
- Bézier_curve wikiPageWikiLink File:Bézier_1_big.gif.
- Bézier_curve wikiPageWikiLink File:Bézier_2_big.gif.
- Bézier_curve wikiPageWikiLink File:Bézier_3_big.gif.
- Bézier_curve wikiPageWikiLink File:Bézier_4_big.gif.
- Bézier_curve wikiPageWikiLink Font.
- Bézier_curve wikiPageWikiLink Font_rasterization.
- Bézier_curve wikiPageWikiLink France.
- Bézier_curve wikiPageWikiLink FreeType.
- Bézier_curve wikiPageWikiLink Graphical_user_interface.
- Bézier_curve wikiPageWikiLink Hermite_curve.
- Bézier_curve wikiPageWikiLink Heuristic.
- Bézier_curve wikiPageWikiLink Inkscape.
- Bézier_curve wikiPageWikiLink Line_(geometry).
- Bézier_curve wikiPageWikiLink Line_(mathematics).
- Bézier_curve wikiPageWikiLink Linear_combination.
- Bézier_curve wikiPageWikiLink Linear_interpolation.
- Bézier_curve wikiPageWikiLink Local_control.
- Bézier_curve wikiPageWikiLink METAFONT.
- Bézier_curve wikiPageWikiLink Metafont.
- Bézier_curve wikiPageWikiLink Microsoft_Excel.
- Bézier_curve wikiPageWikiLink NURBS.
- Bézier_curve wikiPageWikiLink Non-uniform_rational_B-spline.
- Bézier_curve wikiPageWikiLink Numeric_stability.
- Bézier_curve wikiPageWikiLink Numerical_stability.
- Bézier_curve wikiPageWikiLink OpenType.
- Bézier_curve wikiPageWikiLink Parabola.
- Bézier_curve wikiPageWikiLink Parallel_curve.
- Bézier_curve wikiPageWikiLink Parametric_curve.
- Bézier_curve wikiPageWikiLink Parametric_equation.
- Bézier_curve wikiPageWikiLink Paul_de_Casteljau.
- Bézier_curve wikiPageWikiLink Piecewise.
- Bézier_curve wikiPageWikiLink Pierre_Bézier.
- Bézier_curve wikiPageWikiLink Polygon.
- Bézier_curve wikiPageWikiLink Polynomial.
- Bézier_curve wikiPageWikiLink PostScript.
- Bézier_curve wikiPageWikiLink PostScript_fonts.
- Bézier_curve wikiPageWikiLink Quadratic_function.
- Bézier_curve wikiPageWikiLink Railroad_track.
- Bézier_curve wikiPageWikiLink Raster_graphics.
- Bézier_curve wikiPageWikiLink Rasterisation.
- Bézier_curve wikiPageWikiLink Rasterized_image.
- Bézier_curve wikiPageWikiLink Renault.
- Bézier_curve wikiPageWikiLink Rotation.
- Bézier_curve wikiPageWikiLink SVG.
- Bézier_curve wikiPageWikiLink Scalable_Vector_Graphics.
- Bézier_curve wikiPageWikiLink Straight_line.