Logo Lanfrica
  • Home
  • Atlas
  • Insights
  • Docs
  • Sign in

© 2026 Lanfrica. All rights reserved. All copyrights of the resources shown on the Lanfrica website belong to the original copyright holders, unless explicitly stated otherwise.

Comparison between compactly-supported spherical radial basis functions and interpolating moving least squares meshless interpolants for gravity data interpolation in geodesy and geophysics

Domain:

geospatial

Record type:

paper
Creator:
Kia
Publisher:
arXiv
Host:avatar
The present paper is focused on the comparison of the efficiency of two important meshless interpolants for gravity acceleration interpolation. Compactly-supported spherical radial basis functions and interpolating moving least squares are used to interpolate actual gravity accelerations in southern Africa. Interpolated values are compared with actual values, gathered by observation. A thorough analysis is presented for the standard deviation of the differences between interpolated and actual values. Three different class of spherical radial basis functions-Poisson, singularity, and logarithmic-and four different type of basis functions for interpolating moving least squares approach-planar, quadratic, cubic, and spherical harmonics-are used. It is shown that in this particular problem compactly-supported spherical radial basis functions are faster and capable of achieving higher accuracies, compared to interpolating moving least squares scheme.

Visit

doi.orgarxiv.org

Tags

Numerical Analysis (math.NA)FOS: MathematicsFOS: Mathematics

Licenses

Creative Commons Attribution Non Commercial Share Alike 4.0 Internationalhttps://creativecommons.org/licenses/by-nc-sa/4.0/legalcode

Similar

Fully modified least squares.Parameters And State Estimates Of Sex Based Covid-19 Model Using Kenya Data, Nonlinear Least Square And Interpolating PolynomialsSummary of ordinary least squares result.LEAST SQUARES SUPPORT VECTOR MACHINE MODEL FOR COORDINATE TRANSFORMATIONLeast Squares Method for Attitude Determination Using the Real Data of CBERS-2 SatelliteComparison of Gaussian process regression, partial least squares, random forest and support vector machines for a near infrared calibration of paracetamol samples

Fully modified least squares.

This study examines the dynamic short- and long-run causal relationship between South Africa

Parameters And State Estimates Of Sex Based Covid-19 Model Using Kenya Data, Nonlinear Least Square And Interpolating Polynomials

Summary of ordinary least squares result.

Background

Annually, 30 million women in Africa become pregnant, with the majority of

LEAST SQUARES SUPPORT VECTOR MACHINE MODEL FOR COORDINATE TRANSFORMATION

In coordinate transformation, the main purpose is to provide a mathematical relationship between coo

Least Squares Method for Attitude Determination Using the Real Data of CBERS-2 Satellite

his work is applied to the dynamics of rotational motion of artificial satellites, that is, itsorien

Comparison of Gaussian process regression, partial least squares, random forest and support vector machines for a near infrared calibration of paracetamol samples

In this article, we analyze the near-infrared (NIR) spectra of fifty-eight (58) commercial tablets o