Curves with quadric boundary precision
type: Item
instance of: scholarly article
title: Curves with quadric boundary precision
zbMATH Open document ID: 0814.65014
DOI: 10.1016/0167-8396(94)90302-6
published in: Computer Aided Geometric Design
publication date: 1994-12-01T00:00:00Z
review text: A method is described for constructing rational boundary curves for scattered data in \(\mathbb{R}^ 3\). The method has quadric boundary precision; i.e. if the data are extracted from a quadric, then the boundary curves lie on this quadric. Each boundary curve is a conic section represented by a rational Bézier curve. Details of the method are first introduced and justified for data from a quadric. The case of data from a general surface is considered next. Several degenerate cases are also studied and the various situations are illustrated graphically.
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 699121
zbMATH Keywords: quadric boundary precision
zbMATH Keywords: rational boundary curves
zbMATH Keywords: scattered data
zbMATH Keywords: rational Bézier curve
zbMATH Keywords: quadric
author: Dianne Hansford
author: Robert E. Barnhill
author: Gerald Farin
reviewed by: Willy J. F. Govaerts
MaRDI profile type: Publication
full work available at URL: 0167-8396(94)90302-6
OpenAlex ID: W2048032449
cites work: Q4026172
cites work: Parametric representation of quadric surfaces
cites work: Triangulation of scattered data in 3D space
cites work: Q4834848
cites work: The octant of a sphere as a non-degenerate triangular Bézier patch
cites work: Q4178157
cites work: Q4203275
cites work: Q3829968
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description: scientific article; zbMATH DE number 699121