Surface fitting to scattered data by a sum of Gaussians
type: Item
instance of: scholarly article
title: Surface fitting to scattered data by a sum of Gaussians
zbMATH Open document ID: 0772.65008
DOI: 10.1016/0167-8396(93)90017-W
author: Ardeshir Goshtasby
author: William O'Neill
published in: Computer Aided Geometric Design
publication date: 1993-06-29T00:00:00Z
review text: The authors report on numerical experiments with interpolation and approximation by a sum of Gaussians (SOG). They study how the parameter \(\sigma\) of the Gaussians influences the accuracy of the computation and the accuracy of the interpolation of a function. They describe an algorithm for the approximation of scattered data by an SOG such that the root mean square error becomes small. The first estimate of the parameters is obtained by the Hough transform. The parameters are then optimized by the Marquardt algorithm.
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D10
zbMATH DE Number: 221670
zbMATH Keywords: surface fitting
zbMATH Keywords: computer aided geometric design
zbMATH Keywords: interpolation
zbMATH Keywords: Gaussian function
zbMATH Keywords: radial function
zbMATH Keywords: multiquadrics
zbMATH Keywords: numerical experiments
zbMATH Keywords: sum of Gaussians
zbMATH Keywords: algorithm
zbMATH Keywords: scattered data
zbMATH Keywords: Hough transform
zbMATH Keywords: Marquardt algorithm
reviewed by: Rudolf Wegmann
describes a project that uses: QSHEP3D
describes a project that uses: LINPACK
MaRDI profile type: Publication
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full work available at URL: 0167-8396(93)90017-w
OpenAlex ID: W1974983274
description: scientific article; zbMATH DE number 221670