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Localization of 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
1991
(EN)
EKT historical period
Title
Localization of rational B-spline surfaces (EN)
Creator
Bardis, L (EN)
Patrikalakis, NM (EN)
Description
Localization of curved surfaces is an important problem in the manufacturing and inspection of mechanical elements and in the simulation of manufacturing processes. The objective of this paper is to provide an efficient method for accurate localization of a single free-form surface of the rational B-spline form. Our approach is based on the following components-first, representation of position tolerances in terms of a ball offset tolerance region around the ideal rational spline surface; to facilitate interrogation and data exchange, this is followed by approximation of the bounding surfaces of the tolerance region with rational B-splines; next, optimal positioning of the target surface with respect to the ideal surface by minimizing a distance-based norm; finally, verification of compliance with position tolerance constraints. Examples illustrate our technique. © 1991 Springer-Verlag New York Inc. (EN)
Type
journalArticle (EN)
Subject
Computer Science, Interdisciplinary Applications (EN)
B-Spline Surfaces (EN)
b-spline surface (EN)
Mechanical Engineering--Computer Aided Engineering (EN)
Curved Surfaces Localization (EN)
Control, Mechanical Variables--Position (EN)
Surfaces (EN)
Data Exchange (EN)
Engineering, Mechanical (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
1991 (EN)
Identifier
http://hdl.handle.net/123456789/10478
10.1007/BF01206365 (EN)
0177-0667 (EN)
ISI:A1991GJ30900004 (EN)
4 (EN)
237 (EN)
7 (EN)
252 (EN)
Publisher
Springer-Verlag (EN)
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