Bezier curves written as the sum of weighted points: (as polynomials in t).
-Select an order from 2-9
-Display the weights of points as vectors and graphs.
The same curves can be generated following the first worksheet, but the polynomial implementation in this worksheet is much faster.
Method: Newton's polynomial approximation. In detail: [url]http://poppersdreamland.blogspot.com/2013/01/splines-and-bezier-curves-part-i.html[/url]
____________________
Bézier Curves
1. Construction: [url]http://www.geogebratube.org/material/show/id/27320[/url]
[b]→2. Higher Order Curves[/b]
3. Basic Implementation: [url]http://www.geogebratube.org/material/show/id/27631[/url]
4. Weights: [url]http://www.geogebratube.org/material/show/id/28313[/url]
5. Continuous path: [url]http://www.geogebratube.org/material/show/id/81193[/url]
6. ...
