Hello, In most computer graphics texts and papers that I've come across, thin plate splines (TPS) are presented as a technique for fitting a curve or plate through a set of points such that an energy functional is minimized (as demonstrated here http://en.wikipedia.org/wiki/Thin_plate_spline), this I have no trouble understanding (fitting curve/plate = interpolates the set of points). However, other texts frequently employ TPS to the problem of computing deformations without justifying the extension of the idea. I guess what I'd like to know is, just how does the interpolation of a set of points model a deformation problem?
Rehash: I understand the TPS method as an interpolation technique. In fact, the TPS method is formulated as an interpolation method. I just don't know how the method carries over to problems of deformation. Many thanks, - Olumide -- Replies will be sent to the list. For more information visit http://www.morphometrics.org
