[vtkusers] How to project a curve onto surface

Sat Nov 30 00:06:02 EST 2013

Dear Dženan Zukić,
Thanks a lot for your reply. The key point is, how to connnect the projected points. I mean, how to guarantee the short lines connecting projected points lying on the surface?

At 2013-11-29 19:15:56,"Dženan Zukić [via VTK]" <ml-node+s1045678n5724721h87 at n5.nabble.com> wrote:

If your curve is a loop, you might want to do spherical projection. Determine center of area of the curve. Then go through all the points in your curve, for each cast a ray from center towards it, calculate intersection of this ray with the surface and place the projected point on this intersection. Lastly connect the projected points.

In case your curve and the surface are not concentric, you might want to place the center of projection somewhere between them so the projection ends up on the surface.

On Thu, Nov 28, 2013 at 1:24 PM, Green Hedgehog <[hidden email]> wrote:

Dear Kenneth,
Thanks a lot for your reply. I think I didn't describe the question clearly. 
a) The curve isn't planar. It isn't close to planar neither. It is a loop, an output of vtkSplineFilter.
b) The surface isn't close to planar near the curve.
c) I didn't get you quite well about this point. I mean I want the result just looks like you draw the curve on the surface, that means after projecting the result curve is totally lying on the surface. It needn't be accurate, just looks smooth.

Regards,
Yue

At 2013-11-28 14:39:54,"Kenneth Sloan-3 [via VTK]" <[hidden email]> wrote:

A lot depends on the nature of the curve and the surface.

a) is the curve (close to) planar?
b) is the surface close to planar near the curve?
c) do you want the curve literally "projected" onto the surface, or do want
   the curve somehow "draped" over the surface?

Easiest is probably the case where the surface is large and locally "flat" near the curve, and the curve
itself is relatively flat.  Select a compromise plane (or, from another point of view, a compromise vector from the curve in the direction of the surface).  Sample the curve, and cast rays from curve sample points in the direction of the surface.  Find points of intersection and connect the dots.

If both the surface and the curve are convoluted, then the problem becomes much harder, and the answer less well defined.

Good luck!
--
Kenneth Sloan

[hidden email]

On Nov 28, 2013, at 05:49 , Green Hedgehog <[hidden email]> wrote:

> Dear all,
>
> There is a closed surface with a curve near it. I want to project the curve
> onto the surface and then render . Does anyone have any suggestions?
>
> Yue
>
>
>
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