  The purpose of image registration is to determine a transformation such that
the transformed version of the source image is similar to the target one. In
this paper we focus on landmark-based image registration using radial basis
functions (RBFs) transformations, in particular on the topology preservation of
compactly supported radial basis functions (CSRBFs) transformations. In [1] the
performances of Gneiting's and Wu's functions are compared with the ones of
other well known schemes in image registration, as thin plate spline and
Wendland's functions. Several numerical experiments and real-life cases with
medical images show differences in accuracy and smoothness of the considered
interpolation methods, which can be explained taking into account their
topology preservation properties. Here we analyze analytically and
experimentally the topology preservation performances of Gneiting's functions,
comparing results with the ones obtained in [2], where Wendland's and Wu's
functions are considered.
