Bezier Curves 1

Construction of Bezier curves, step by step.

At each step the number of points decreases by one. The last step leaves us only one point. What happens when we increase the order of curves? And how can the computation cost be reduced, the curves easier to use? The motivation and blinding algebra are worked out here: [url]http://poppersdreamland.blogspot.com/2013/01/splines-and-bezier-curves-part-i.html[/url] ....a gentle warning that mathematical induction can be laborious and hard to follow. These are personal projects. Please let me know how I can make these materials more useful to you. ____________________ Bézier Curves [b]→1. Construction[/b] 2. Higher Order Curves: [url]http://www.geogebratube.org/material/show/id/27627[/url] 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. ...