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Bézier and B-Spline Techniques

Gebonden Engels 2002 2002e druk 9783540437611
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9783540437611
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:304
Uitgever:Springer Berlin Heidelberg
Druk:2002

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Inhoudsopgave

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.

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        Bézier and B-Spline Techniques