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The mathematical basis for Bézier curves—the Bernstein polynomials—was established in 1912, but the polynomials were not applied to graphics until some 50 years later when mathematician Paul de Casteljau in 1959 developed de Casteljau's algorithm, a numerically stable method for evaluating the curves, and became the first to apply them to computer-aided design at French automaker Citroën ...
from Wikimedia Commons plot-range: -25/12pi to 25/12pi plotted with three different cubic bezier-curves the bezier-controll-points are calculated to give a very accurate result. symbols in "Computer Modern" (TeX) font embedded created with a plain text editor using GNU/Linux
The spline's on-curve control points are placed at the circle's horizontal and vertical tangent points and at displacements (79, 79) from the center and its reflections about the X and Y axes. Off-curve control points are placed at the intersections between the horizontal and vertical tangent line and 45-degree lines from the diagonal control ...
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English: Illustration of use of cubic Bezier splines to smooth a polyline, based on algorithm at . The different colours indicate different "curviness" values (black lowest and red highest). Triangles and squares indicate control points for the Bezier spline of the corresponding colour.
I once bought S/N 000136 of the very first Adobe Illustrator a long time ago (bezier curves). Now I know how the others work. Very nice! Greg L 06:35, 26 February 2007 (UTC) Oppose, Support — While the images are very pretty, I don't think they're very effective at giving an intuitive idea of how a Bezier curve is constructed. The ...
The following other wikis use this file: Usage on ar.wikipedia.org منحنى بيزيه; Usage on az.wikipedia.org Bezye əyrisi; Usage on bg.wikipedia.org