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Geometric Computing for Perception Action Systems: Concepts, Algorithms, and Scientific Applications
 
 
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Geometric Computing for Perception Action Systems: Concepts, Algorithms, and Scientific Applications [Hardcover]

Eduardo Bayro Corrochano (Author)

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Book Description

0387951911 978-0387951911 June 21, 2001 1
After an introduction to geometric algebra, and the necessary math concepts that are needed, the book examines a variety of applications in the field of cognitive systems using geometric algebra as the mathematical system. There is strong evidence that geobetric albegra can be used to carry out efficient computations at all levels in the cognitive system. Geometric algebra reduces the complexity of algebraic expressions and as a result, it improves algorithms both in speed and accuracy. The book is addressed to a broad audience of computer scientists, cyberneticists, and engineers. It contains computer programs to clarify and demonstrate the importance of geometric algebra in cognitive systems.

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MATHEMATICAL REVIEWS

"We are sure that the mathematicians, computer scientists, engineers and physicists will enjoy reading this book."

"For the case of perception action cycles the author of this nice book shows that the Clifford algebra … of multivectors of an n-dimensional vector space is indeed superior to previous mathematical structures used to deal with this subject. … We are sure that mathematicians, computer scientists, engineers and physicists will enjoy reading this book." (Waldyr Alves Rodrigues, Jr., Mathematical Reviews, Issue 2003 d)


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Inside This Book (learn more)
First Sentence:
Geometrie algebra is a coordinate-free approach to geometry based on the algebras of Grassmann[38] and Clifford [20]. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
reciprocal null cones, degenerated algebra, geometric neural networks, motor algebra, geometric algebra framework, bivector representation, support multivector machines, support multivectors, bivector terms, using bivectors, projective split, multivector basis, bivector basis, unit pseudoscalar, visual invariants, visually guided robotics, projective depth, geometric product, rendezvous method, dual quaternions, trifocal tensor, guided grasping, projective invariants, intrinsic camera parameters, affine plane
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Geometric Algebra of Euclidean, Recursive Estimation Using Kalman Filter Techniques, Representation of Points
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