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Weather daily data approximation using point adaptive ellipsoidal neighborhood in scattered data interpolation methods

Applied Mathematics and Computation, 2021
Many papers have applied the meshless method to approximate a function by using a set of scattered data. To use a meshless method, we need to predefine a positive real number as a radius of the local sphere or a positive integer as the number of interior
M. Amirfakhrian, F. Samavati
semanticscholar   +1 more source

Interpolating scattered data with C2 surfaces

Computer-Aided Design, 1995
The authors present a method for interpolating scattered data over a region in \(\mathbb{R}^2\), such that the resulting surface of interpolation is guaranteed to be \(C^2\)-continuous. The two main steps of the method are: Find a network of curves (over a given triangulation of the region), which minimizes a certain functional, explicitly given in the
Kolb, Andreas, Seidel, Hans-Peter
openaire   +3 more sources

Scattered data interpolation for computer graphics

ACM SIGGRAPH 2014 Courses, 2014
Ken Anjyo   +2 more
openaire   +2 more sources

Scattered data quasi‐interpolation on spheres

Mathematical Methods in the Applied Sciences, 2014
This paper studies the construction and approximation of quasi‐interpolation for spherical scattered data. First of all, a kind of quasi‐interpolation operator with Gaussian kernel is constructed to approximate the spherical function, and two Jackson type theorems are established.
Chen, Zhixiang, Cao, Feilong, Li, Ming
openaire   +2 more sources

Accurate Interpolation for Scattered Data through Hierarchical Residual Refinement

Neural Information Processing Systems, 2023
Accurate interpolation algorithms are highly desired in various theoretical and engineering scenarios. Unlike the traditional numerical algorithms that have exact zero-residual constraints on observed points, the neural network-based interpolation ...
Shizhe Ding, Boyang Xia, Dongbo Bu
semanticscholar   +1 more source

Scattered Data Interpolation

1992
Bei Anwendungen z.B. in der Geologie, Meteorologie, Kartographie, aber auch beim Digitalisieren von Modell Oberflachen, konnen unregelmasig verteilte Daten (scattered data) auftreten, die durch eine Flache interpoliert oder approximiert werden sollen.1) Das zu losende Interpolationsproblem lautet also: Gegeben sind N Abszissen xi = (xi,yi) ∈ ℝ2, i=1(1 ...
Josef Hoschek, Dieter Lasser
openaire   +2 more sources

Scattered data interpolation of Radon data

Calcolo, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beatson, R. K., zu Castell, W.
openaire   +1 more source

Multivariate Rational Interpolation of Scattered Data

2004
Rational data fitting has proved extremely useful in a number of scientific applications. We refer among others to its use in some network problems [6,7,15,16], to the modelling of electro-magnetic components [20,13], to model reduction of linear shift-invariant systems [2,3,8] and so on.
Becuwe, Stefan   +2 more
openaire   +2 more sources

Preconditioned Iterative Methods for Scattered Data Interpolation

Advances in Computational Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lyche, Tom   +2 more
openaire   +2 more sources

Image warping with scattered data interpolation

IEEE Computer Graphics and Applications, 1995
Discusses a new approach to image warping based on scattered data interpolation methods which provides smooth deformations with easily controllable behavior. A new, efficient deformation algorithm underlies the method. >
D. Ruprecht, H. Muller
openaire   +1 more source

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