Kaveh wrote:

> Suppose I have a perfect cube, which is then distorted. I can define the
> distortion by giving the coordinates of the corners, the midpoints of
> the edges, and the centers of the faces. How can I draw this new shape,
> with smooth faces going through the points?
> 

You could use bicubic patches with 1 or 4 patches per side (see section 
3.4.5). If you use 4 of them you can easily fullfill the point 
interpolation criterion but you have some freedom left in the control 
points. If you use olny 1 per side it gets difficult to have the patch 
interpolate the midpoints and center points.

But all the same bicubic patches might be the right thing to chose.

- Micha

-- 
POV-Ray Objects Collection: http://objects.povworld.org

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