Bezier Curves 2: higher order polynomials

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. ...

 

Ryan Hirst

 
Resource Type
Activity
Tags
approximation  bezier  binomial  curves  expansion  geometry  newton  parametric-curves  polynomials  splines 
Target Group (Age)
19+
Language
English (United States)
 
 
GeoGebra version
4.2
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10972
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