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  • 2000-2004  (2)
  • Prautzsch, Hartmut  (2)
  • Licensed  (2)
  • 1
    Online Resource
    Online Resource
    Berlin, Heidelberg : Springer Berlin Heidelberg
    UID:
    b3kat_BV042423332
    Format: 1 Online-Ressource (XIV, 304 p)
    ISBN: 9783662049198 , 9783642078422
    Series Statement: Mathematics and Visualization
    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 B­spline 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 excluded. In particular, rational Bezier and B-spline techniques are not addressed since a rigorous treatment within the appropriate context of projective geometry would have been beyond the scope of this book
    Language: English
    Keywords: Bézier-Kurve ; B-Spline ; Bézier-Fläche
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    Berlin, Heidelberg : Springer
    UID:
    gbv_1655465570
    Format: Online-Ressource (XIV, 296 p, online resource)
    ISBN: 9783662049198
    Series Statement: Mathematics and Visualization
    Content: This book provides a solid and uniform derivation of the various properties Bézier and B-spline representations have, and shows the beauty of the underlying rich mathematical structure. The book focuses on the core concepts of Computer Aided Geometric Design with the intension to give 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 free form surfaces with arbitrary smoothness.The text is beautifully illustrated with many excellent figures to emphasize the geometric constructive approach of this book
    Additional Edition: ISBN 9783642078422
    Additional Edition: Druckausg. ISBN 978-364-20784-2-2
    Language: English
    URL: Volltext  (lizenzpflichtig)
    Library Location Call Number Volume/Issue/Year Availability
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