I'm confused on how to evaluate the Jacobian for step 4. Since W(x;0) is supposed to be the identity warp, won't every $p_i$ not be in W(x;0), meaning the Jacobian is always just a matrix of zeros?
motoole2
We would first compute the Jacobian of W(x; p) with respect to p, and then plug in p = 0. Provided that the output of W(x; p) changes with small pertubations of p, the Jacobian should be non-zero.
I'm confused on how to evaluate the Jacobian for step 4. Since W(x;0) is supposed to be the identity warp, won't every $p_i$ not be in W(x;0), meaning the Jacobian is always just a matrix of zeros?
We would first compute the Jacobian of W(x; p) with respect to p, and then plug in p = 0. Provided that the output of W(x; p) changes with small pertubations of p, the Jacobian should be non-zero.