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Books > Science & Mathematics > Mathematics > Geometry
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Computational Geometry on Surfaces - Performing Computational Geometry on the Cylinder, the Sphere, the Torus, and the Cone (Hardcover, 2002 ed.)
Loot Price: R1,516
Discovery Miles 15 160
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Computational Geometry on Surfaces - Performing Computational Geometry on the Cylinder, the Sphere, the Torus, and the Cone (Hardcover, 2002 ed.)
Expected to ship within 18 - 22 working days
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In the last thirty years Computational Geometry has emerged as a
new discipline from the field of design and analysis of algorithms.
That dis cipline studies geometric problems from a computational
point of view, and it has attracted enormous research interest. But
that interest is mostly concerned with Euclidean Geometry (mainly
the plane or Eu clidean 3-dimensional space). Of course, there are
some important rea sons for this occurrence since the first
applieations and the bases of all developments are in the plane or
in 3-dimensional space. But, we can find also some exceptions, and
so Voronoi diagrams on the sphere, cylin der, the cone, and the
torus have been considered previously, and there are manY works on
triangulations on the sphere and other surfaces. The exceptions
mentioned in the last paragraph have appeared to try to answer some
quest ions which arise in the growing list of areas in which the
results of Computational Geometry are applicable, since, in
practiee, many situations in those areas lead to problems of Com
putational Geometry on surfaces (probably the sphere and the
cylinder are the most common examples). We can mention here some
specific areas in which these situations happen as engineering,
computer aided design, manufacturing, geographie information
systems, operations re search, roboties, computer graphics, solid
modeling, etc."
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