Finite Element Thin Plate Splines
نویسندگان
چکیده
منابع مشابه
A Stabilized Mixed Finite Element Method for Thin Plate Splines Based on Biorthogonal Systems
The thin plate spline is a popular tool for the interpolation and smoothing of scattered data. In this paper we propose a novel stabilized mixed finite element method for the discretization of thin plate splines. The mixed formulation is obtained by introducing the gradient of the smoother as an additional unknown. Working with a pair of bases for the gradient of the smoother and the Lagrange m...
متن کاملFinite Element Thin Plate Splines for Data Mining Applications
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 dimensionality" by reducing the high-dimensional nonparametric regression problem to the determination of a set of interdependent surfaces. However, the determination of the corresponding th...
متن کاملA parallel finite element surface fitting algorithm for data mining
A major task in data mining is to develop automatic techniques to process and to detect patterns in very large data sets. Multivariate regression techniques form the core of many data mining applications. A common assumption is that the multivariate data is well approximated by an additive model involving only first and second order interaction terms. In this case high-dimensional nonparametric...
متن کاملParallelization of a finite element surface fitting algorithm for data mining
Amajor task in data mining is to develop automatic techniques to process and to detect patterns in very large data sets. An important data mining technique is multivariate regression, and an essential sub task is the estimation of interaction surfaces, i.e. the estimation of functions of two variables. Thin plate splines provide a very good method to determine an approximating surface. Obtainin...
متن کاملFinite 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:
متن کامل