Convex preserving scattered data interpolation using bivariate \(C^1\) cubic splines
type: Item
instance of: scholarly article
title: Convex preserving scattered data interpolation using bivariate \(C^1\) cubic splines
zbMATH Open document ID: 0966.65016
DOI: 10.1016/S0377-0427(00)00382-4
author: Ming-Jun Lai
published in: Journal of Computational and Applied Mathematics
publication date: 2001-08-01T00:00:00Z
review text: The author uses a bivariate \(C^1\) cubic spline space over a triangulated quadrangulation to the convexity preserving surface design problem. This interpolation problem expressed in terms of Bernstein-Bézier polynomials is presented as a quadratically constraint quadratic programming problem. Then the author derives three linearly constraint quadratic programming problems to solve the interpolatory convexity preserving problem. He shows the existence of convexity preserving interpolatory surface under certain conditions on the data.
reviewed by: Jacek Gilewicz
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C20
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 1491260
zbMATH Keywords: interpolation
zbMATH Keywords: bivariate splines
zbMATH Keywords: scattered data interpolation
zbMATH Keywords: Bernstein-Bézier polynomials
zbMATH Keywords: convexity preserving surface design
zbMATH Keywords: quadratic programming
MaRDI profile type: Publication
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full work available at URL: s0377-0427(00)00382-4
OpenAlex ID: W2090823121
description: scientific article; zbMATH DE number 1491260