Produktbild: Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable
Band 1

Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable

Aus der Reihe Geometry and Computing

Fr. 73.90

inkl. gesetzl. MwSt., Versandkostenfrei


Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

30.11.2010

Abbildungen

XVI, 204 illus., schwarz-weiss Illustrationen

Verlag

Springer Berlin

Seitenzahl

728

Maße (L/B/H)

23.5/15.5/4 cm

Gewicht

1128 g

Auflage

Softcover reprint of hardcover 1st ed. 2008

Sprache

Englisch

ISBN

978-3-642-09243-5

Beschreibung

Rezension

From the reviews:



"This book is a learned treatise on Pythagorean-Hodograph curves … . The book is very well written and contains a wealth of interesting information, not only about its main subject matter but also about the background material on algebra, geometry, and computer-aided geometric design, including historical references and quotes. The prime audience for this book is students, researchers, and professionals working in computer-aided design and manufacturing, but anyone interested in mathematics, geometric modeling, or computer graphics and animation will learn much interesting mathematics from it." (Luiz Henrique de Figueiredo, MathDL, January, 2008)


"Pythagorean hodograph (PH) curves form a remarkable subclass of polynomial curves. … This is the first book which gives a comprehensive introduction to this active field of research … . The organization of the book is excellent. … style and the flavour of the presentation make it a real pleasure to read this book. It can be expected that this book will contribute to the advancement of the field of PH … . very suitable for use as a textbook for courses on applied geometry." (Bert Jüttler, Mathematical Reviews, Issue 2008 k)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

30.11.2010

Abbildungen

XVI, 204 illus., schwarz-weiss Illustrationen

Verlag

Springer Berlin

Seitenzahl

728

Maße (L/B/H)

23.5/15.5/4 cm

Gewicht

1128 g

Auflage

Softcover reprint of hardcover 1st ed. 2008

Sprache

Englisch

ISBN

978-3-642-09243-5

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable
  • Preface Chapter 1: Introduction PART I: ALGEBRA Chapter 2: Preamble
    Chapter 3: Polynomials
    Chapter 4: Complex numbers
    Chapter 5: Quaternions
    Chapter 6: Clifford algebra PART II: GEOMETRY Chapter 7: Coordinate systems
    Chapter 8: Differential geometry
    Chapter 9: Algebraic geometry
    Chapter 10: Non-Euclidean geometry PART III: COMPUTER-AIDED GEOMETRIC DESIGN Chapter 11: The Bernstein basis
    Chapter 12: Numerical stability
    Chapter 13: Bezier curves and surfaces
    Chapter 14: C^2 cubic spline curves
    Chapter 15: Spline basis functions PART IV: PLANAR PYTHAGOREAN-HODOGRAPH CURVES Chapter 16: Arc-length parameterization
    Chapter 17: Pythagorean-hodograph curves
    Chapter 18: Tschirnhausen's cubic
    Chapter 19: Complex representation
    Chapter 20: Rational Pythagorean-hodograph curves PART V: SPATIAL PYTHAGOREAN-HODOGRAPH CURVES Chapter 21: Pythagorean hodographs in R^3
    Chapter 22: Quaternion representation
    Chapter 23: Helical polynomial curves
    Chapter 24: Minkowski Pythagorean hodographs PART VI: ALGORITHMS Chapter 25: Planar Hermite interpolants
    Chapter 26: Elastic bending energy
    Chapter 27: Planar C^2 PH quintic splines
    Chapter 28: Spatial Hermite interpolants PART VII: APPLICATIONS Chapter 29: Real-time CNC interpolators
    Chapter 30: Rotation-minimizing frames Chapter 31: Closure References Index