Modified multiquadric methods for scattered data interpolation over a sphere

DOI10.1016/0167-8396(90)90039-TzbMath0714.65010WikidataQ126351561 ScholiaQ126351561MaRDI QIDQ751166

Helmut Pottmann, Matthias Eck

Publication date: 1990

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

zbMATH Keywords

interpolationscattered data fittingspherical domainapplications in geodesy and meteorologyelliptic multiquadric interpolationmultiquadric surfacesspherical multiquadric interpolationtrivariate multiquadric interpolation

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05) Meteorology and atmospheric physics (86A10) Geodesy, mapping problems (86A30)

Related Items (16)

Problems with defining barycentric coordinates for the sphere ⋮ Truly two-dimensional algorithms for radiative heat transfer calculations in reactive flows ⋮ An adaptive hierarchical approximation method on the sphere using axisymmetric locally supported basis functions ⋮ Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds ⋮ A new approach to modelling an unsteady free surface in boundary integral methods with application to bubble-structure interactions ⋮ Interpolation of scattered data on closed surfaces ⋮ Fitting scattered data on spherelike surfaces using tensor products of trigonometric and polynomial splines ⋮ Interpolation on surfaces using minimum norm network ⋮ Interpolating scattered multivariate data as a function of time ⋮ Interpolation on spherical geodesic grids: a comparative study ⋮ The map and blend scattered data interpolant on a sphere ⋮ Fast and accurate interpolation of large scattered data sets on the sphere ⋮ Scattered data interpolation based upon generalized minimum norm networks ⋮ The parameter \(R^ 2\) in multiquadric interpolation ⋮ Fitting scattered data on sphere-like surfaces using spherical splines ⋮ Approximation by ruled surfaces

Cites Work

• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Spherical spline interpolation - basic theory and computational aspects
• Detecting surface irregularities using isophotes
• Surfaces defined on surfaces
• Interpolation of scattered data on closed surfaces
• Interpolation over a sphere based upon a minimum norm network
• Erratum: Spline Interpolation and Smoothing on the Sphere
• Interpolation of data on the surface of a sphere
• A Method for Interpolating Scattered Data Based Upon a Minimum Norm Network
• Scattered Data Interpolation: Tests of Some Method
• On spherical spline interpolation and approximation
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