Filling polygonal holes with bicubic patches
type: Item
instance of: scholarly article
title: Filling polygonal holes with bicubic patches
zbMATH Open document ID: 0805.65019
DOI: 10.1016/0167-8396(94)90205-4
author: John A. Gregory
author: Jianwei Zhou
published in: Computer Aided Geometric Design
publication date: 1995-02-02T00:00:00Z
review text: The authors study the problem of filling a polygonal hole in a surface given by \(C^ 1\) data on the boundary of the hole with a \(C^ 1\) surface patch. They give an explicit algorithm that works well for triangular holes but in general does not fit the boundary data and shows undesirable flutter for boundaries that are piecewise curvilinear \(n\)- gons, \(n>3\). They modify the algorithm with the introduction of more degrees of freedom following a method introduced by the second author in his Ph.D. thesis (1991) and show that flutter can be avoided if the boundary of the hole may be slightly disturbed.
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 644300
zbMATH Keywords: bicubic patches
zbMATH Keywords: polygonal hole
zbMATH Keywords: surface
zbMATH Keywords: algorithm
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
full work available at URL: 0167-8396(94)90205-4
OpenAlex ID: W2004097438
cites work: Q3486887
cites work: Q3749695
cites work: \(GC^ 1\) continuity conditions between adjacent rectangular and triangular Bézier surface patches
cites work: Bicubic patches for approximating non-rectangular control-point meshes
description: scientific article; zbMATH DE number 644300