\(C^ 1\) surface interpolation with constraints
type: Item
instance of: scholarly article
title: \(C^ 1\) surface interpolation with constraints
zbMATH Open document ID: 0790.65007
DOI: 10.1007/BF02113890
author: Emanuele Galligani
published in: Numerical Algorithms
publication date: 1994-03-17T00:00:00Z
review text: A method for solving the following problem is proposed: Given \(n\) pairwise distinct points \((x_ i,y_ i)\) in a domain \(D\) of \(\mathbb{R}^ 2\) and \(n\) real numbers \(f_ i\), one has to determine a function \(f\) in \(\mathbb{R}^ 2\) of class \(C^ 1(D)\) whose values in \((x_ i,y_ i)\) are \(f_ i\), and whose first or second order partial derivatives satisfy appropriate equality or inequality constraints on a given set of \(p\) points in \(D\). An iterative method for determining the solution of this problem is given.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 510227
zbMATH Keywords: surface interpolation with constraints
zbMATH Keywords: multivariate interpolation
zbMATH Keywords: iterative method
reviewed by: Antonio López-Carmona
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 510227