Minimization, constraints and composite Bézier curves
type: Item
instance of: scholarly article
title: Minimization, constraints and composite Bézier curves
zbMATH Open document ID: 0814.65015
DOI: 10.1016/0167-8396(94)90303-4
author: Arie Jacobi
author: Michel Bercovier
published in: Computer Aided Geometric Design
publication date: 1994-12-01T00:00:00Z
review text: A global method is discussed for the approximation and construction of parametric curves using constraints. The method is based on a variational formulation in which the squared integrals of the zero, first and second derivative seminorms of the approximated and approximation curves are used. A weighting factor is attached to each seminorm. The solution of the constrained variational problem is done by the finite element method over Bernstein basis functions. The range of subjects discussed is comprehensive.
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 699120
zbMATH Keywords: variational method
zbMATH Keywords: parametric curves
zbMATH Keywords: Bernstein basis functions
reviewed by: Willy J. F. Govaerts
MaRDI profile type: Publication
full work available at URL: 0167-8396(94)90303-4
OpenAlex ID: W2048169982
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description: scientific article; zbMATH DE number 699120