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Engineering Applications of Noncommutative Harmonic Analysis: With Emphasis on Rotation and Motion Groups
 
 
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Engineering Applications of Noncommutative Harmonic Analysis: With Emphasis on Rotation and Motion Groups [Hardcover]

Gregory S. Chirikjian (Author), Alexander B. Kyatkin (Author)
5.0 out of 5 stars  See all reviews (1 customer review)

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Book Description

0849307481 978-0849307485 September 28, 2000 1
The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems.

Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications.

Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers. Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox.

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Product Details

  • Hardcover: 674 pages
  • Publisher: CRC Press; 1 edition (September 28, 2000)
  • Language: English
  • ISBN-10: 0849307481
  • ISBN-13: 978-0849307485
  • Product Dimensions: 10.3 x 7.4 x 1.5 inches
  • Shipping Weight: 3.3 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,313,305 in Books (See Top 100 in Books)

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5.0 out of 5 stars Excellent Book, July 24, 2001
By 
Ram "rambr" (Berkeley, CA United States) - See all my reviews
This review is from: Engineering Applications of Noncommutative Harmonic Analysis: With Emphasis on Rotation and Motion Groups (Hardcover)
This is an excellent book, and combines depth of theory with many practical applications of the presented ideas. The chapters dealing with robotics and image processing applications are very illustrative of the presented ideas. I wished there were more books like this in other areas.
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Inside This Book (learn more)
First Sentence:
In this chapter we provide a layman's introduction to the meaning of noncommutative operations. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
pose determination and camera calibration, transforms for motion groups, workspace density functions, noncommutative harmonic analysis, workspace generation, binary manipulators, analysis and tomography, discretely actuated manipulator, translational mean, whole manipulator, invariant integration measure, conformational averages, numerical convolution, noncommutative operations, discrete polynomial, transform matrix elements, actuated manipulators, texture transformation, attitude estimation, writhing number, radiation therapy treatment planning, conformational statistics, operational properties, backprojection algorithm, homomorphism property
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, John Wiley, Cambridge University Press, Robotics Res, Boca Raton, Kluwer Academic, Signal Process, Monte Carlo, Pattern Anal, Fluid Mech, The Ann, The Netherlands, Abelian Fourier, Englewood Cliffs, Polymer Sci, Clarendon Press, Imaging Syst, Inverse Probls, Oxford University Press, Princeton University Press, Theoretical Kinematics, Aided Geometric Design, American Mathematical Society, Discrete Math
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