Proposition: [i]Interpolate a Bézier curve along the path joining the given points[/i]
[math]\;\;\;\;[/math]Tool (.ggt): [url]http://www.geogebratube.org/material/show/id/84229[/url]
In other words, to solve the problems:
Given the curve of order k-1, from points [math] A_0, \ldots, A_{k-1}[/math], and curve of order k, from [math]A_0, \ldots, A_k [/math], interpolate smoothly between the two curves.
Inspired by Agata's worksheet:
[url]http://www.geogebratube.org/material/show/id/28027[/url]
________
Bézier Curves: 2. High Order Curves
[list]
[*] Standard Curve:
[math] \;\;\;[/math]Coefficient Matrix[color=#1551b5](+TOOL)[/color]: [url]http://www.geogebratube.org/material/show/id/83830[/url]
[math] \;\;\;[/math] Bézier Curve of Order n[color=#1551b5] (+TOOL)[/color]: [url]http://www.geogebratube.org/material/show/id/83844[/url]
[/list]
[list]
[*][b]→Curve from Path: [/b]
[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]
