Situation:
- We have a bendable, non-stretchable surface, like a piece of cloth, with a regular grid on it.
- Unknown manipulation of the surface is done while preserving it's structure
- We recieve 3 dimensional normal vectors from each of the grid points of the surface (but not their coordinates) (V1,...VN)
- Length of each grid unit on a flat surface is equal (L).
The question: What methods could be used to reproduce the surface from these vectors and L?
Reduced question: If we have two (2-dimensional) vectors (angles) and know the length of the curve connecting them, as well as that one of these vectors start from coordinate (0;0) in 2-dimensional plane. How can we approximate the position of the second vector and preferrably the whole curve (assuming, that the curve is quadratic)?
Just to clarify; you say that you receive the normal vectors for each grid point. Does that mean that you know which vector is associated with any grid-point? If that is the case, then for any four grid-points that make up a grid-square you should have access to the associated normal vectors. You also imply that you have no access to the grid-point coordinates, since the surface manipulation is unknown. Am I right so far? The L you're referring to; is that after you stretch the "cloth" and its grid-points on a flat surface?