Computational strategies for surface fitting using thin plate spline finite element methods

Finite Element Thin Plate Splines for Surface Fitting

A list of technical reports, including some abstracts and copies of some full reports may be found at:

Finite Element Thin Plate

Thin plate splines have been used successfully to model curves and surfaces. A new application is in data mining where they are used to model interaction terms. These interaction splines break the \curse of di-mensionality" by reducing the high-dimensional nonparametric regression problem to the determination of a set of interdependent surfaces. However , the determination of the corresponding ...

Finite Element Thin Plate Splines

Approximation Methods for Thin Plate Spline Mappings and Principal Warps

The thin plate spline (TPS) is an effective tool for modeling coordinate transformations that has been applied successfully in several computer vision applications. Unfortunately the solution requires the inversion of a p × p matrix, where p is the number of points in the data set, thus making it impractical for large scale applications. In practical applications, however, a surprisingly good a...

Approximate Thin Plate Spline