> > Thin-plate splines is a special case of RBF, in the > sense that there is an RBF kernel function > (r^2 log r, or something like that) which will > give you the TPS solution. > > In one sense, the TPS minimizes second-order > differentials. It might be argued that this > is the simplest curvature measure. Certainly, > you could use other kernel functions to minimize > third-order differentials or anything else, and > this certainly has many applications, but this > whole concept of minimizing curvature has no > intrinsic biological meaning, and we just > need something relatively simple that we can > discuss and understand easily.
Thanks! I love simple and direct answers ;-) > Another thing is that morphometricians have > developed a large toolbox of useful analysis > methods based on the TPS (bending energies, > partial and relative warps, etc.). No similar > theory and methods have been developed for > other kernel functions. I've heard of those i.e. partial and relative warps. Please shed some light on them. Thanks again, Olumide (email: [EMAIL PROTECTED]) PS: Do you mean that the use of TPS in the morphometrics just as a matter of habit? -- Replies will be sent to the list. For more information visit http://www.morphometrics.org
