The approximation of non-degenerate offset surfaces
type: Item
instance of: scholarly article
title: The approximation of non-degenerate offset surfaces
zbMATH Open document ID: 0621.65003
DOI: 10.1016/0167-8396(86)90022-1
published in: Computer Aided Geometric Design
publication date: 1986-01-01T00:00:00Z
review text: Let S be a surface such that the unit surface normal n is defined at each point of S. An offset surface \(S_ 0\) to S is defined as an envelope of the continuum of vectors \(d\updownarrow n\) where d is a real number. There are some difficulties that arise when generating offset surfaces. In his previous paper [ibid. 2, 257-279 (1985; Zbl 0583.65095)] the author considered problems appearing when n is not defined at each point of S. The paper under review deals with the problem of reducing the complexity of the functional representation of \(S_ 0\). The exact functional representation of \(S_ 0\) is typically more complex than that of S. A method for approximation of \(S_ 0\) by bicubic patches is developed. An analysis of the accuracy of the method along with examples is presented.
Mathematics Subject Classification ID: 65D15
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65S05
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 53A05
Mathematics Subject Classification ID: 68U20
zbMATH DE Number: 4007547
zbMATH Keywords: geometric modeling
zbMATH Keywords: differential geometry
zbMATH Keywords: surface approximation
zbMATH Keywords: computer graphics
zbMATH Keywords: offset surface
author: Rida T. Farouki
MaRDI profile type: Publication
full work available at URL: 0167-8396(86)90022-1
OpenAlex ID: W2064794237
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description: scientific article; zbMATH DE number 4007547