[Insight-users] Need Help !!! Approximation of a 3D curve with Splines

[Ruben Schilling]

Hi Deepak,

your image is confusing then, it looks much like a sequence of  
points, that has an order. Perhaps not linear in the direction of  
your x-axis, but a partial linear order along the curve, that you  
drew and hence an order for some approximating curve's  
parametrization. Does your image not entirely depict the problem you  
are facing?

It sounds awkward, that you would like to approximate the positions  
of 3D points with a curve, but on the other hand you say, that there  
is no (at least partial) order in the points. Since any curve is  
essentially a 1D line in an N-d space, you need to have some order,  
right? For example the red line could be parametrized by a time  
variable t. Then there is certainly some kind of partial order on the  
variable t for all points. Just not having a partial order, but  
modelling your data by a 1D curve, sounds contradicting to me.

Regards,
Ruben


Am 17.08.2007 um 23:48 schrieb Deepak Roy:

> Hello Nick,
>
> Thanx a lot for the reply.
>
> I just was going through your example, where you approximate  
> sampled points of a sprial curve with a B Spline.
>
> It seems like you assume that the points are ordered in the correct  
> sequence ( i guess ordered by length on the curve ). Am i right ???
>
> I have no such ordering in my data. I am afraid if your approach  
> would work for my case ???
>
> Attached is an image which will give you a better idea of the  
> problem i am dealing with.
>
> Waiting for you reply.
>
> Regards,
>
> Deepak
>

-------------- next part --------------
An HTML attachment was scrubbed...
URL: http://public.kitware.com/pipermail/insight-users/attachments/20070818/1e148224/attachment.htm