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Surface approximation with rational B-splines
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
1990
(EN)
EKT historical period
Title
Surface approximation with rational B-splines (EN)
Creator
Bardis, L (EN)
Patrikalakis, NM (EN)
Description
Many modern geometric modelers use nonuniform rational B-spline curves and surfaces as their canonical representations. Rational B-splines are a versatile representation, encompassing integral B-splines and the basic classical primitives such as conics, quadrics, and torii. However, rational B-splines representations other than these classical primitives have found little application in surface modeling. In this paper we develop approximation algorithms based on the general rational B-spline formulation. Numerical experiments indicate that rational B-splines allow a significantly more compact approximation of two classes of parametric surfaces in comparison to integral B-splines. The two classes of surfaces studied are generalized cylinders and offsets of a rational B-spline surface patch progenitor. © 1990 Springer-Verlag New York Inc. (EN)
Type
journalArticle (EN)
Subject
Computer Science, Interdisciplinary Applications (EN)
Surfaces (EN)
Approximate Algorithm (EN)
Approximation Algorithms (EN)
Engineering, Mechanical (EN)
Mathematical Techniques--Algorithms (EN)
b-spline surface (EN)
Geometric Model (EN)
Canonical Representation (EN)
Numerical Experiment (EN)
Canonical Representations (EN)
Surface Approximation (EN)
B-Splines (EN)
b-spline curve (EN)
Parametric Surface (EN)
Surface Model (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
1990 (EN)
Identifier
http://hdl.handle.net/123456789/10306
0177-0667 (EN)
223 (EN)
4 (EN)
235 (EN)
6 (EN)
ISI:A1990EG22900003 (EN)
10.1007/BF01200370 (EN)
Publisher
Springer-Verlag (EN)
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