Let M be a moving point with path parameter [i]m[/i] on a Polyline through [i]n[/i]+1 points.
M falls between points [math]A_{k-1}, A_k[/math].
[b] BezierPathCf[n, m][/b]
gives the coefficient matrix C for the multiplication
[math] P [C] τ [/math]
P, the points [math]\{A_0 ... A_k\}[/math]
τ, powers of t: [math] \{t^0, t, ..., t^k\}[/math]
Construction: [url]http://www.geogebratube.org/material/show/id/84218[/url]
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[i]Just give me the curve![/i]
The following tools give complete Bézier curves:
High Order
[math] \;\;\;[/math] Order n curve: [url]http://www.geogebratube.org/material/show/id/83845[/url]
[math] \;\;\;[/math] Order n path: [url]http://www.geogebratube.org/material/show/id/84229[/url]
Concatenated
[math] \;\;\;[/math] standard: {link soon}
[math] \;\;\;[/math] path: {link soon}
...(more soon)