Multiquadric equations of topography and other irregular surfaces

1971/03/10 by Rolland L. Hardy · 7 citations
Engineering · Physics and Astronomy · Computer Science · Mathematics · #Advanced Numerical Analysis Techniques #Electromagnetic Scattering and Analysis #Computer Graphics and Visualization Techniques #Geology #Geometry #Geodesy #Geophysics #Mathematics

paper · doi:10.1029/jb076i008p01905

openalex publication_date 1971/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

A new analytical method of representing irregular surfaces that involves the summation of equations of quadric surfaces having unknown coefficients is described. The quadric surfaces are located at significant points throughout the region to be mapped. Procedures are given for solving multiquadric equations of topography that are based on coordinate data. Contoured multiquadric surfaces are compared with topography and other irregular surfaces from which the multiquadric equation was derived.

Cited by

• Meshfree Methods: Progress Made after 20 Years
• Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—II solutions to parabolic, hyperbolic and elliptic partial differential equations
• Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations
• Multilevel lattice-based kernel approximation for elliptic PDEs with random coefficients
• Radial Basis Function Techniques for Neural Field Models on Surfaces
• MathPhys-Guided Coarse-to-Fine Anomaly Synthesis with SQE-Driven Bi-Level Optimization for Anomaly Detection
• Radial basis function [wikipedia]