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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.
From the reviews: " A unique and fascinating blend, which is
shown to be useful for a variety of applications, including
robotics, geometrical optics, computer animation, and geometric
design. The contents of the book are visualized by a wealth of
carefully chosen illustrations, making the book a shear pleasure to
read, or even to just browse in." Mathematical Reviews
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