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Catalogue Information
Field name	Details
Dewey Class	006.6
Dewey Class	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.
Added Personal Name	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 . Appl.Mathematics/Computational Methods of Engineering . Computer-aided engineering . Computer-Aided Engineering (CAD, CAE) and Design . Computer Graphics . Computer Science . Engineering mathematics . Geometry . Image processing . Image Processing and Computer Vision . Numerical Analysis . Authors: Boehm, Wolfgang . Paluszny, Marco . Prautzsch, Hartmut . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and visualization . Classification: 006.37 . 006.6 .

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Bézier and B-Spline Techniques

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