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 intothe 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. From thereviews: 'The authors have combined results from the classical parts of geometry with computational methods. This results in a unique and fascinating blend... The contents of the book are visualized by a wealth of carefully chosen illustrations, making the book a sheer pleasure to read .' B.Jüttler, MATH.REVIEWS 2002 For the first time studies line geometry from the viewpoint of scientific computation Shows the interplay between theory and numerous applications INDICE: 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.
- ISBN: 978-3-642-04017-7
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 563
- Fecha Publicación: 01/11/2009
- Nº Volúmenes: 1
- Idioma: Inglés