Geometric Methods and Applications: For Computer Science and Engineering

Cover
Springer Science & Business Media, 2001 - 565 Seiten
As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics, which sometimes do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine geometry, projective geometry, Euclidean geometry, basics of differential geometry and Lie groups, and a glimpse of computational geometry (convex sets, Voronoi diagrams and Delaunay triangulations) and explores many of the practical applications of geometry. Some of these applications include computer vision (camera calibration) efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.
 

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Inhalt

II
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LXXIII
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LXXIV
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LXXX
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LXXXI
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XXX
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XXXI
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XXXIV
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LXXI
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LXXXVIII
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LXXXIX
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XCI
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CXXXI
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CXXXIII
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CXXXIX
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CXL
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CXLI
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Seite 2 - That if a straight line meet two other straight lines, so as to make the two interior angles on the same side of it, taken together, less than two right angles...
Seite 535 - AH Barr, B. Currin, S. Gabriel, and JF Hughes, "Smooth Interpolation of Orientations with Angular Velocity Constraints using Quaternions," SIGGRAPH
Seite xiii - Ars Combinatoria' (genetics) ? It was a particularly cruel fate that imposed upon him 'the yoke of a foreign tongue that was not sung at my cradle'.

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