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Bézier and B-Spline Techniques
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Catalogue Information
Field name
Details
Dewey Class
006.6
006.37
Title
Bézier and B-Spline Techniques ([EBook] /) / by Hartmut Prautzsch, Wolfgang Boehm, Marco Paluszny.
Author
Prautzsch, Hartmut
Added Personal Name
Boehm, Wolfgang
author.
Paluszny, Marco
author.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2002.
Physical Details
XIV, 304 p. : online resource.
Series
Mathematics and visualization
1612-3786
ISBN
9783662049198
Summary Note
Computer-aided modeling techniques have been developed since the advent of NC milling machines in the late 40's. Since the early 60's Bezier and B spline representations evolved as the major tool to handle curves and surfaces. These representations are geometrically intuitive and meaningful and they lead to constructive numerically robust algorithms. It is the purpose of this book to provide a solid and unified derivation of the various properties of Bezier and B-spline representations and to show the beauty of the underlying rich mathematical structure. The book focuses on the core concepts of Computer-aided Geometric Design (CAGD) with the intent to provide a clear and illustrative presentation of the basic principles as well as a treatment of advanced material, including multivariate splines, some subdivision techniques and constructions of arbitrarily smooth free-form surfaces. In order to keep the book focused, many further CAGD methods are ex cluded. In particular, rational Bezier and B-spline techniques are not ad dressed since a rigorous treatment within the appropriate context of projec tive geometry would have been beyond the scope of this book.:
Contents note
1 Geometric fundamentals -- 2 Bézier representation -- 3 Bézier techniques -- 4 Interpolation and approximation -- 5 B-spline representation -- 6 B-spline techniques -- 7 Smooth curves -- 8 Uniform subdivision -- 9 Tensor product surfaces -- 10 Bézier representation of triangular patches -- 11 Bézier techniques for triangular patches -- 12 Interpolation -- 13 Constructing smooth surfaces -- 14 Gk-constructions -- 15 Stationary subdivision for regular nets -- 16 Stationary subdivision for arbitrary nets -- 17 Box splines -- 18 Simplex splines -- 19 Multivariate splines -- References.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-662-04919-8
Links to Related Works
Subject References:
Applied mathematics
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Appl.Mathematics/Computational Methods of Engineering
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Computer-aided engineering
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Computer-Aided Engineering (CAD, CAE) and Design
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Computer Graphics
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Computer Science
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Engineering mathematics
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Geometry
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Image processing
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Image Processing and Computer Vision
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Numerical Analysis
.
Authors:
Boehm, Wolfgang
.
Paluszny, Marco
.
Prautzsch, Hartmut
.
Corporate Authors:
SpringerLink (Online service)
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Series:
Mathematics and visualization
.
Classification:
006.37
.
006.6
.
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