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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 ...
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 smooth portions of a curve are then approximated with a Bézier curve fitting procedure. Successive division may be used. Such a fitting procedure tries to fit the curve with a single cubic curve; if the fit is acceptable, then the procedure stops. Otherwise, it selects some advantageous point along the curve and breaks the curve into two ...
English: Cubic Bézier spline approximation (in red) overlayed on a black circle of radius 112 units, with tangent (on-curve) control points drawn as squares and off-curve control points drawn as circles. The spline's on-curve control points are placed at the circle's horizontal and vertical tangent points.
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
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Open the PDF in Adobe Illustrator. Select the page of the PDF you are interested in if the PDF is a multi-page document (Illustrator will only open one page at a time). Go to File > Save As (Shift + Ctrl + S). From the Format drop-down menu, select SVG (*.SVG). Save As. In the resulting dialog box:
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