Multistep scattered data interpolation using compactly supported radial basis functions
Michael S. Floater,Armin Iske +1 more
274
TL;DR: A hierarchical scheme is presented for smoothly interpolating scattered data with radial basis functions of compact support using successive Delaunay triangulations, which is rotationally invariant and has good reproduction properties.
read more
About: This article is published in Journal of Computational and Applied Mathematics. The article was published on 05 Oct 1996. and is currently open access. The article focuses on the topics: Basis function & Delaunay triangulation.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
•Book
Computational geometry
F. Frances Yao
- 02 Jan 1991
TL;DR: This report documents the program and the outcomes of Dagstuhl Seminar 21181 “Computational Geometry”, which was held online in a virtual manner, and 36 participants from various countries attended it.
1.6K
Radial Basis Functions
Martin D. Buhmann,M. D. Buhmann +1 more
TL;DR: This paper gives a selective but up-to-date survey of several recent developments that explains their usefulness from the theoretical point of view and contributes useful new classes of radial basis function.
Radial Basis Functions
Andrew D. Back
- 03 Oct 2018
TL;DR: This paper gives a selective but up-to-date survey of several recent developments that explains their usefulness from the theoretical point of view and contributes useful new classes of radial basis function.
457
Kernel techniques: From machine learning to meshless methods
Robert Schaback,Holger Wendland +1 more
TL;DR: This contribution explains why and how kernels are applied in these disciplines and uncovers the links between them, in so far as they are related to kernel techniques.
335
References
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
TL;DR: A new class of positive definite and compactly supported radial functions which consist of a univariate polynomial within their support is constructed, it is proved that they are of minimal degree and unique up to a constant factor.
3K
Multiquadric equations of topography and other irregular surfaces
TL;DR: In this paper, a method of representing irregular surfaces that involves the summation of equations of quadric surfaces having unknown coefficients is described, and procedures are given for solving multiquadric equations of topography that are based on coordinate data.
2.8K
Scattered data interpolation: tests of some methods
TL;DR: In this paper, the evaluation of methods for scattered data interpolation and some of the results of the tests when applied to a number of methods are presented. But the evaluation process involves evaluation of the methods in terms of timing, storage, accuracy, visual pleasantness of the surface, and ease of implementation.
Splines minimizing rotation-invariant semi-norms in Sobolev spaces
Jean Duchon
- 01 Jan 1977
TL;DR: A family of semi-norms is defined, subject to some interpolating conditions, providing interpolation methods that preserve polynomials of degree≤m−1 and converge in Sobolev spaces Hm+s(Ω).
1.7K
•Book
Computational geometry
F. Frances Yao
- 02 Jan 1991
TL;DR: This report documents the program and the outcomes of Dagstuhl Seminar 21181 “Computational Geometry”, which was held online in a virtual manner, and 36 participants from various countries attended it.
1.6K