- 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)?