Detailansicht
Bezier and B-Spline Techniques
Mathematics and Visualization
ISBN/EAN: 9783642078422
Umbreit-Nr.: 1510444
Sprache:
Englisch
Umfang: xiv, 304 S., 182 s/w Illustr.
Format in cm:
Einband:
kartoniertes Buch
Erschienen am 05.12.2010
Auflage: 1/2002
- Zusatztext
- 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.
- Kurztext
- Modern, graduate-level book on computer aided geometric designIncludes supplementary material: sn.pub/extras
- Autorenportrait
- Inhaltsangabe1 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.