Beschreibung:
Helmut Pottmann ist Professor für Geometrie an der Technischen Universität Wien und seit 2009 Direktor des Forschungszentrums für Geometrische Modellierung und wissenschaftliche Visualisierung an der King Abdullah University of Science and Technology in Saudi Arabien. Er hatte Lehr- und Forschungsaufträge ua. an Universitäten in Hamburg, Kalifornien und Peking.
From the reviews:
Preface.- 1. Fundamentals.- 2. Models of Line Space.- 3. Linear Complexes.- 4. Approximation in Line Space.- 5. Ruled Surfaces.- 6. Developable Surfaces.- 7. Line Congruences and Line Complexes.- 8. Linear Line Mappings - Computational Kinematics.- References.- List of Symbols.- Index.- Color Plates.
The geometry of lines occurs naturally in such different areas as sculptured surface machining, computation of offsets and medial axes, surface reconstruction for reverse engineering, geometrical optics, kinematics and motion design, and modeling of developable surfaces. This book covers line geometry from various viewpoints and aims towards computation and visualization. Besides applications, it contains a tutorial on projective geometry and an introduction into the theory of smooth and algebraic manifolds of lines. It will be useful to researchers, graduate students, and anyone interested either in the theory or in computational aspects in general, or in applications in particular.