Re: 3D curve spline
- To: mathgroup at smc.vnet.net
- Subject: [mg84589] Re: 3D curve spline
- From: Narasimham <mathma18 at hotmail.com>
- Date: Sun, 6 Jan 2008 05:51:52 -0500 (EST)
- References: <flk22a$bok$1@smc.vnet.net> <flnjoa$k0v$1@smc.vnet.net>
On Jan 5, 2:47 pm, Jens-Peer Kuska <ku... at informatik.uni-leipzig.de>
wrote:
> Hi,
>
> I don't know what "re-order m equal interval points" may be,
> but. Here are some data:
>
> data = Table[{Cos[t], Sin[t], t}, {t, 0, 4 Pi, Pi/16.}];
Thanks. (Euclidean) distances between successive points of the given
data are unequal and after re-ordering they are uniformly spaced
along the required arc. For example, 5 random 3D points length to
origin ascending between (0,1) and lying in the first octant, required
to be joined by a continuous line. Regards
> Here is the interpolation:
> ip = Interpolation /@ Transpose[data];
>
> and here is a plot of the interpolation
>
> ParametricPlot3D[Evaluate[#[t] & /@ ip], {t, 1, 65}]
>
> And you ca re-tabulate it with
>
> Table[#[t] & /@ ip,{t,1,65,0.00000001}]
>
> Regards
> Jens
>
> Narasimham wrote:
> > I have n points along a 3-D curved line. How to re-order m equal
> > interval points by splines? TIA.