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Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
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CGAL Arrangements and Their Applications - A Step-by-Step Guide (Paperback, Softcover reprint of the original 1st ed. 2012)
Loot Price: R1,651
Discovery Miles 16 510
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CGAL Arrangements and Their Applications - A Step-by-Step Guide (Paperback, Softcover reprint of the original 1st ed. 2012)
Series: Geometry and Computing, 7
Expected to ship within 10 - 15 working days
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Arrangements of curves constitute fundamental structures that have
been intensively studied in computational geometry. Arrangements
have numerous applications in a wide range of areas - examples
include geographic information systems, robot motion planning,
statistics, computer-assisted surgery and molecular biology.
Implementing robust algorithms for arrangements is a notoriously
difficult task, and the CGAL arrangements package is the first
robust, comprehensive, generic and efficient implementation of data
structures and algorithms for arrangements of curves. This book is
about how to use CGAL two-dimensional arrangements to solve
problems. The authors first demonstrate the features of the
arrangement package and related packages using small example
programs. They then describe applications, i.e., complete
standalone programs written on top of CGAL arrangements used to
solve meaningful problems - for example, finding the minimum-area
triangle defined by a set of points, planning the motion of a
polygon translating among polygons in the plane, computing the
offset polygon, finding the largest common point sets under
approximate congruence, constructing the farthest-point Voronoi
diagram, coordinating the motion of two discs moving among
obstacles in the plane, and performing Boolean operations on curved
polygons. The book contains comprehensive explanations of the
solution programs, many illustrations, and detailed notes on
further reading, and it is supported by a website that contains
downloadable software and exercises. It will be suitable for
graduate students and researchers involved in applied research in
computational geometry, and for professionals who require
worked-out solutions to real-life geometric problems. It is assumed
that the reader is familiar with the C++ programming-language and
with the basics of the generic-programming paradigm.
General
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