Finite Element Thin Plate Splines for Surface Fitting
نویسندگان
چکیده
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منابع مشابه
A 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...
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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...
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A new smoothing method is proposed which can be viewed as a finite element thin plate spline. This approach combines the favourable properties of finite element surface fitting with the ones of thin plate splines. The method is based on first order techniques similar to mixed finite element techniques for the biharmonic equation. The existence of a solution to our smoothing problem is demonstra...
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Thin plate and spherical splines are nonparametric methods suitable for spatial data analysis. Thin plate splines acquire efficient practical and high precision solutions in spatial interpolations. Two components in the model fitting is considered: spatial deviations of data and the model roughness. On the other hand, in parametric regression, the relationship between explanatory and response v...
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Thin plate splines are a well known entity of geometric design. They are defined as the minimizer of a variational problem whose differential operators approximate a simple notion of bending energy. Therefore, thin plate splines approximate surfaces with minimal bending energy and they are widely considered as the standard “fair” surface model. Such surfaces are desired for many modeling and de...
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