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Wa are talking about Non-uniform rational B-spline. We have some simple 3 dimentional array like 

{1,1,1}
{1,2,3}
{1,3,3}
{2,4,5}
{2,5,6}
{4,4,4}

Which are points from a plane created by some B-spline

How to find controll points of spline that created that plane? (I know its a hard task because of weights that need to be calculated but I really hope it is solvable)

alt text For thouse who did not got idea of question - sory my writting is wwbad - we have points that are part of plane rendered here and we need to find controll points that form a spline which solution is that rendered plane.

Rella
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  • If you Google for "surface reconstruction B-spline" you'll find a lot of results. But the algorithms are not general enough for any mesh, so you'll have to dig up if your mesh matches the one used by some algorithm. – Dr. belisarius Dec 18 '10 at 06:08
  • Do you know the values of the knots? If you do that makes the problem a lot easier. – user168715 Jan 10 '11 at 07:35
  • Is this still relevant? You should understand that there is not a unique solution to this problem. I'm pretty sure that multiple, different B-splines can all generate the same set of points. – JCooper Mar 28 '11 at 18:11

1 Answers1

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There are several interpolation techniques that could be used, Global NURB surface interpolation, or Bi-cubic piecewise surface interpolation are reasonable.

"The NURBS book" by Les A. Piegl covers a number of them

James
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