Intersection test and blossoming perturbation for disk parametric curves and ball parametric surfaces
type: Item
instance of: scholarly article
title: Intersection test and blossoming perturbation for disk parametric curves and ball parametric surfaces
zbMATH Open document ID: 1196.65037
DOI: 10.1155/MPE/2006/29643
author: Qun Lin
author: J. Rokne
published in: Mathematical Problems in Engineering
publication date: 2010-10-14T00:00:00Z
review text: Summary: Errors in curve and surface representation due to inaccuracies in the data are considered and accounted for by introducing disk parametric curves and ball parametric surfaces. Intersection test algorithms and interval extensions using blossoming are discussed for each of the three cases of Bézier curves, tensor product surfaces, and triangular patches. A stability analysis is also performed for each of the three cases. It is shown that under certain restrictions disk Bézier curves and triangular ball Bézier patches are stable with respect to perturbations of the control disks (balls); whereas tensor product ball Bézier surfaces are in general not.
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 53A04
Mathematics Subject Classification ID: 70B15
zbMATH DE Number: 5799686
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1155/mpe/2006/29643
OpenAlex ID: W2088519797
description: scientific article; zbMATH DE number 5799686