Method for fairing B-spline surfaces
type: Item
instance of: scholarly article
title: Method for fairing B-spline surfaces
zbMATH Open document ID: 0693.65006
DOI: 10.1016/0010-4485(88)90206-0
author: N. J. Lott
author: D. I. Pullin
published in: CAD. Computer-Aided Design
publication date: 1988-01-01T00:00:00Z
review text: Tensor products of B-splines are used for describing a method of fairing surfaces. Observing that a surface fairing procedure based on minimizing surface curvature properties has certain deficiencies, the authors propose two simplified forms of objective and constraint functions, which lead to further simplification in the measure of surface fairness. Several strategies for applying the fairing techniques are illustrated for the cases with one and eight degrees of freedom. The results obtained indicate that the technique is sound but it is expected that improvements may be achieved if (i) integration of the objective and constraint functions is performed with respect to Euclidean space rather than parametric space; (ii) the simplification obtained by dropping the `twist' term is avoided.
reviewed by: H. P. Dikshit
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 53A05
zbMATH DE Number: 4135285
zbMATH Keywords: Tensor products of B-splines
zbMATH Keywords: method of fairing surfaces
zbMATH Keywords: surface fairing procedure
zbMATH Keywords: surface curvature
MaRDI profile type: Publication
full work available at URL: 0010-4485(88)90206-0
OpenAlex ID: W1986280202
description: scientific article; zbMATH DE number 4135285