Least-squares fitting of algebraic spline surfaces
type: Item
instance of: scholarly article
title: Least-squares fitting of algebraic spline surfaces
zbMATH Open document ID: 0997.65028
DOI: 10.1023/A:1015200504295
author: Bert Jüttler
author: Alf Felis
published in: Advances in Computational Mathematics
publication date: 2002-06-09T00:00:00Z
review text: A new technique is described for fitting implicitly defined algebraic spline surfaces to scattered data in three-dimensional space. By approximating points and associated normal vectors estimated from the scattered data, a computationally simple method is obtained which requires the solution of a sparse system of linear equations. The method can be applied to data taken from arbitrary orientable 2-dimensional manifolds in 3-space. The potential applications include the reconstruction of free-form surfaces in reverse engineering. Furthermore, error bounds are established directly from the coefficients of the implicit representation.
reviewed by: Dana Petcu
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 1752559
zbMATH Keywords: spline surface
zbMATH Keywords: surface fitting
zbMATH Keywords: least-squares
zbMATH Keywords: scattered data
zbMATH Keywords: reconstruction of free-form surfaces
zbMATH Keywords: reverse engineering
zbMATH Keywords: error bounds
MaRDI profile type: Publication
full work available at URL: a:1015200504295
OpenAlex ID: W1622880316
description: scientific article; zbMATH DE number 1752559