Interpolation over a sphere based upon a minimum norm network

DOI10.1016/0167-8396(87)90023-9zbMath0632.65010OpenAlexW2017244049MaRDI QIDQ1095567

Gregory M. Nielson, Ramamani Ramaraj

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-8396(87)90023-9

zbMATH Keywords

networkinterpolationapproximationscattered data fittingmultivariatespherical domainminimum normfunctional minimization

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Multidimensional problems (41A63) Approximation by other special function classes (41A30)

Related Items

Single-valued surfaces in spherical coordinates, Spherical splines and orientation interpolation, Problems with defining barycentric coordinates for the sphere, 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, Fat surfaces: A trivariate approach to triangle-based interpolation on surfaces, The map and blend scattered data interpolant on a sphere, Scattered data interpolation based upon generalized minimum norm networks, Modified multiquadric methods for scattered data interpolation over a sphere, Fitting scattered data on sphere-like surfaces using spherical splines, Network splines, Surfaces defined on surfaces

Cites Work

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• Surfaces in computer aided geometric design: A survey with new results
• The side-vertex method for interpolation in triangles
• 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
• Minimum Norm Interpolation in Triangles
• Scattered Data Interpolation: Tests of Some Method