Bézier and B-spline techniques
著者
書誌事項
Bézier and B-spline techniques
（Mathematics and visualization）
Springer, c2010
注記
Includes bibliographical references (p. [287]-295) and index
内容説明・目次
内容説明
This book provides a solid and uniform derivation of the various properties Bezier 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 and provides 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.
目次
1 Geometric fundamentals.- 2 Bezier representation.- 3 Bezier techniques.- 4 Interpolation and approximation.- 5 B-spline representation.- 6 B-spline techniques.- 7 Smooth curves.- 8 Uniform subdivision.- 9 Tensor product surfaces.- 10 Bezier representation of triangular patches.- 11 Bezier 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.
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