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Offsets of curves on rational B-spline surfaces
This item is provided by the institution :
National Technical University of Athens
Repository :
Digital Library of National Technical University of Athens | Dspace@NTUA
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ΕΚΤ item type
Journal part
(EN)
Scientific article
(EN)
EKT year
1989
(EN)
EKT historical period
Title
Offsets of curves on rational B-spline surfaces (EN)
Creator
Bardis, L (EN)
Patrikalakis, NM (EN)
Description
The construction of offset curves is an important problem encountered often in design processes and in interrogation of geometric models. In this paper the problem of construction of offsets of curves lying on the same parametric surface is addressed. A novel algorithm is introduced, whose main feature is the use of geodesic paths to determine points of the offset. The offset is then approximated in the underlying surface parameter space by B-splines interpolating data points obtained by traveling a known distance along the geodesics departing from corresponding points of the progenitor in a direction perpendicular to the latter. A comprehensive error checking scheme has been devised allowing adaptive improvement of the approximation of the offset. The applicability of the algorithm is demonstrated by number of numerical examples. © 1989 Springer-Verlag New York Inc. (EN)
Type
journalArticle (EN)
Subject
Computer Science, Interdisciplinary Applications (EN)
Splines (EN)
Surfaces (EN)
Mathematical Techniques--Polynomials (EN)
Engineering, Mechanical (EN)
Offset Curves (EN)
Parametric Surfaces (EN)
Computer Graphics (EN)
Parameter Space (EN)
B-Spline Surfaces (EN)
b-spline surface (EN)
Geometric Model (EN)
Design Process (EN)
Parametric Surface (EN)
Spline Interpolation (EN)
Provider
National Technical University of Athens
Repository / collection
Digital Library of National Technical University of Athens | Dspace@NTUA
Subcollections
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
Journal
Engineering with Computers (EN)
Language
English
Issued
1989 (EN)
Identifier
http://hdl.handle.net/123456789/10060
1 (EN)
46 (EN)
0177-0667 (EN)
10.1007/BF01201996 (EN)
5 (EN)
39 (EN)
ISI:A1989T465900004 (EN)
Publisher
Springer-Verlag (EN)
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