The geometry of lines occurs naturally in such different areas as sculpturedsurface machining computation of offsets and medial axes surfacereconstruction for r... » 

The geometry of lines occurs naturally in such different areas as sculpturedsurface machining computation of offsets and medial axes surfacereconstruction for reverse engineering geometrical optics kinematics andmotion design and modeling of developable surfaces. This book covers linegeometry from various viewpoints and aims towards computation andvisualization. Besides applications it contains a tutorial on projectivegeometry and an introduction into the theory of smooth and algebraic manifoldsof lines. It will be useful to researchers graduate students and anyoneinterested either in the theory or in computational aspects in general or inapplications in particular. TOCPreface. 1. Fundamentals. 2. Models of LineSpace. 3. Linear Complexes. 4. Approximation in Line Space. 5. RuledSurfaces. 6. Developable Surfaces. 7. Line Congruences and Line Complexes.8. Linear Line Mappings Computational Kinematics. References. List ofSymbols. Index. Color Plates. «