Surface shape control using constrained optimization on the B-spline representation
type: Item
instance of: scholarly article
title: Surface shape control using constrained optimization on the B-spline representation
zbMATH Open document ID: 0663.65010
DOI: 10.1016/0167-8396(88)90024-6
author: David R. Ferguson
author: Paul D. Frank
author: Alan K. Jones
published in: Computer Aided Geometric Design
publication date: 1988-01-01T00:00:00Z
review text: Tensor-product B-spline functions are used to model surfaces with certain desirable shapes. In particular, the surfaces are obtained by controlling the curvature of isoparametric lines for parametric tensor-product spline surfaces. Conditions for curvature control are presented in terms of the B-spline coefficients, allowing the problem to be stated as a constrained optimization problem. An algorithm is given and a full section of interesting test results is included.
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 65D15
Mathematics Subject Classification ID: 53A04
Mathematics Subject Classification ID: 51N05
zbMATH DE Number: 4084830
zbMATH Keywords: surface shape control
zbMATH Keywords: test examples
zbMATH Keywords: Tensor-product B-spline
zbMATH Keywords: isoparametric lines
zbMATH Keywords: tensor-product spline surfaces
zbMATH Keywords: curvature control
zbMATH Keywords: constrained optimization
zbMATH Keywords: algorithm
reviewed by: Charles K. Chui
MaRDI profile type: Publication
full work available at URL: 0167-8396(88)90024-6
OpenAlex ID: W2002993541
cites work: Spline approximation by quasiinterpolants
cites work: Q4739659
cites work: A simplified B-spline computation routine
cites work: Interpolation by Convex Quadratic Splines
cites work: Stochastic Methods for Global Optimization
description: scientific article; zbMATH DE number 4084830