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Cover: 9783540437611 | Bézier and B-Spline Techniques | Hartmut Prautzsch (u. a.) | Buch
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Bézier and B-Spline Techniques
Buch von Hartmut Prautzsch (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Modern, graduate-level book on computer aided geometric design

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2002
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Mathematics and Visualization
Inhalt: xiv
304 S.
182 s/w Illustr.
182 s/w Zeichng.
ISBN-13: 9783540437611
ISBN-10: 3540437614
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Prautzsch, Hartmut
Paluszny, Marco
Boehm, Wolfgang
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Mathematics and Visualization
Maße: 241 x 160 x 23 mm
Von/Mit: Hartmut Prautzsch (u. a.)
Erscheinungsdatum: 06.08.2002
Gewicht: 0,647 kg
Artikel-ID: 103259290
Zusammenfassung

Modern, graduate-level book on computer aided geometric design

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2002
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Mathematics and Visualization
Inhalt: xiv
304 S.
182 s/w Illustr.
182 s/w Zeichng.
ISBN-13: 9783540437611
ISBN-10: 3540437614
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Prautzsch, Hartmut
Paluszny, Marco
Boehm, Wolfgang
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Mathematics and Visualization
Maße: 241 x 160 x 23 mm
Von/Mit: Hartmut Prautzsch (u. a.)
Erscheinungsdatum: 06.08.2002
Gewicht: 0,647 kg
Artikel-ID: 103259290
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