Bézier Curve Coefficient Matrix

Tool (.ggt) [url]http://www.geogebratube.org/material/show/id/83831[/url] [math] \;\;\;\;[/math]Command: BezierCf[<n>] [math] \;\;\;\;[/math]Output: (n+1)×(n+1) coefficient matrix C for the matrix multiplication [math] \;\;\;\;\;\; β(t) = Pts C τ(t), [/math] where Pts is a row vector of the n+1 points τ(t), a column vector of powers of t, 0... n β(t), 0≤t≤1, is the resulting nth order Bézier curve. ________ Bézier Curves: 2. High Order Curves [list] [*] Standard Curve: [math] \;\;\;[/math][b]→ Coefficient Matrix[color=#1551b5](+TOOL)[/color][/b] [math] \;\;\;[/math] Bézier Curve of Order n[color=#1551b5] (+TOOL)[/color]: [url]http://www.geogebratube.org/material/show/id/83844[/url] [/list] [list] [*]Curve from Path: [url]http://www.geogebratube.org/material/show/id/84017[/url] [math] \;\;\;[/math]Coefficient Matrix [color=#1551b5](+TOOL)[/color]: [url]http://www.geogebratube.org/material/show/id/84218[/url] [math] \;\;\;[/math]Bézier Path of Order n [color=#1551b5](+TOOL)[/color]: [url]http://www.geogebratube.org/material/show/id/84231[/url] [/list]

 

Ryan Hirst

 
Material Type
Activity
Tags
bezier  curves  splines  tools 
Target Group (Age)
19+
Language
English (United States)
 
 
GeoGebra version
4.4
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