Animated Mathematics - A curve expressed as a Bezier path

A presentation at the SVG Open 2003

An open source java program uses the Quadratic Bezier-Casteljau method for convenient expression of two dimensional curves.

Detailed instructions are given on the website http://alzt.tau.ac.il/~dagan/tools/Bezier2/readMe.html .

The algorithm is very simple and is presented here graphically:

Some properties of Quadratic-Bezier which are used for the algorithm.
The algorithm applied on an elliptical arc shows a detailed two step approximation. An ellipse was chosen for the demonstartion, since an ellipse could be generically represented by SVG.
Evaluation of the error shows how the maximal allowed deviation of the approximated curve from the real one is used for terminating the approximation procedure.