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.
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Bézier Curves: 2. High Order Curves
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[*] 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]
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[*]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]
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