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Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Automatic control engineering
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Geometric Methods and Applications - For Computer Science and Engineering (Paperback, Softcover reprint of hardcover 2nd ed. 2011)
Loot Price: R2,311
Discovery Miles 23 110
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Geometric Methods and Applications - For Computer Science and Engineering (Paperback, Softcover reprint of hardcover 2nd ed. 2011)
Series: Texts in Applied Mathematics, 38
Expected to ship within 18 - 22 working days
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This book is an introduction to the fundamental concepts and tools
needed for solving problems of a geometric nature using a computer.
It attempts to fill the gap between standard geometry books, which
are primarily theoretical, and applied books on computer graphics,
computer vision, robotics, or machine learning. This book covers
the following topics: affine geometry, projective geometry,
Euclidean geometry, convex sets, SVD and principal component
analysis, manifolds and Lie groups, quadratic optimization, basics
of differential geometry, and a glimpse of computational geometry
(Voronoi diagrams and Delaunay triangulations). Some practical
applications of the concepts presented in this book include
computer vision, more specifically contour grouping, motion
interpolation, and robot kinematics. In this extensively updated
second edition, more material on convex sets, Farkas's lemma,
quadratic optimization and the Schur complement have been added.
The chapter on SVD has been greatly expanded and now includes a
presentation of PCA. The book is well illustrated and has chapter
summaries and a large number of exercises throughout. It will be of
interest to a wide audience including computer scientists,
mathematicians, and engineers. Reviews of first edition: "Gallier's
book will be a useful source for anyone interested in applications
of geometrical methods to solve problems that arise in various
branches of engineering. It may help to develop the sophisticated
concepts from the more advanced parts of geometry into useful tools
for applications." (Mathematical Reviews, 2001) "...it will be
useful as a reference book for postgraduates wishing to find the
connection between their current problem and the underlying
geometry." (The Australian Mathematical Society, 2001)
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