Fully and sparsely supported radial basis functions
نویسندگان
چکیده
منابع مشابه
Positive Approximation and Interpolation Using Compactly Supported Radial Basis Functions
We discuss the problem of constrained approximation and interpolation of scattered data by using compactly supported radial basis functions, subjected to the constraint of preserving positivity. The approaches are presented to compute positive approximation and interpolation by solving the two corresponding optimization problems. Numerical experiments are provided to illustrate that the propose...
متن کاملSoftware Tools for Compactly Supported Radial Basis Functions
In this paper the use of compactly-supported radial basis functions for surface reconstruction is described. To solve the problem of reconstruction or volume data generation specially designed software is employed. Time performance of the algorithm and numerical error estimation of the reconstruction are also investigated. Thanks to the efficient octree algorithm used in this study, the resulti...
متن کاملSmoothing splines using compactly supported , positive definite , radial basis functions
In this paper, we develop a fast algorithm for a smoothing spline estimator in multivariate regression. To accomplish this, we employ general concepts associated with roughness penalty methods in conjunction with the theory of radial basis functions and reproducing kernel Hilbert spaces. It is shown that through the use of compactly supported radial basis functions it becomes possible to recove...
متن کاملExamples of Compactly Supported Functions for Radial Basis Approximations
Radial Basis Functions (RBFs) are widely used in science, engineering and finance for constructing nonlinear models of observed data. Most applications employ activation functions from a relatively small list, including Gaussians, multi-quadrics and thin plate splines. We introduce several new candidate compactly supported RBFs for approximating functions in L (R) via overdetermined least squar...
متن کاملMultistep Scattered Data Interpolation using Compactly Supported Radial Basis Functions
A hierarchical scheme is presented for smoothly interpolating scattered data with radial basis functions of compact support. A nested sequence of subsets of the data is computed efficiently using successive Delaunay triangulations. The scale of the basis function at each level is determined from the current density of the points using information from the triangulation. The method is rotational...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Computational Methods and Experimental Measurements
سال: 2020
ISSN: 2046-0546,2046-0554
DOI: 10.2495/cmem-v8-n3-208-219