| Bézier and B-Spline Techniques 2002 Edition Contributor(s): Prautzsch, Hartmut (Author), Boehm, Wolfgang (Author), Paluszny, Marco (Author) |
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ISBN: 3540437614 ISBN-13: 9783540437611 Publisher: Springer OUR PRICE: $113.99 Product Type: Hardcover - Other Formats Published: August 2002 Annotation: This book provides a solid and uniform derivation of the various properties B??zier 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 Information |
| BISAC Categories: - Computers | Computer Graphics - Computers | Cad-cam - Mathematics | Number Systems |
| Dewey: 511.42 |
| LCCN: 2002070722 |
| Series: Mathematics and Visualization |
| Physical Information: 0.75" H x 6.14" W x 9.21" (1.38 lbs) 304 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |