Bézier Curve: Follow path
- Author:
- Ryan Hirst
Notes:
- Tool: http://www.geogebratube.org/material/show/id/84229 BezierPath1[number n, polyline, number m] n = #points-1 m = path parameter on the polyline.
- High order curves are not easy to fit to a path. Here, the real path is the letter β. The control points are not a good approximation of "β" except at the endpoints. give a point on the figure, the direction and magnitude of the tangent vector at that point. A better solution is to use concatenated curves of low order. I will complete a small set of tools for curves of arbitrary order, and then modify them to give concatenated curves.
- Standard Curve: Coefficient Matrix(+TOOL): http://www.geogebratube.org/material/show/id/83830 Bézier Curve of Order n (+TOOL): http://www.geogebratube.org/material/show/id/83844
- →Curve from Path: Coefficient Matrix (+TOOL): http://www.geogebratube.org/material/show/id/84218 Bézier Path of Order n (+TOOL): http://www.geogebratube.org/material/show/id/84231