I have a fundamental question. Any help will be appreciated.
Consider the following two shapes drawn in black. The shapes are two dimensional.
Assume the LM correspondence information as red points are in correspondence with each other, and also the green points with themselves.
Let's define a posterior GP having a Gaussian isotropic kernel to non-rigidly register the two shapes. The LM constraints are incorporated into the model.
My question is, what parameter or phenomenon guarantees that the GPMM registration leads to the point correspondence shown by the orange lines?