Book: Geom. Alg. with Appl. in Engineering


Geometric Algebra with Applications in Engineering

Series: Geometry and Computing , Vol. 4

by Christian Perwass,

2009, Approx. 400 p., Hardcover

ISBN: 978-3-540-89067-6

Online orders (Springer) shipping within 2-3 days.

Price: 54,95 €

Cover text: The application of geometric algebra to the engineering sciences is a young, active subject of research. The promise of this field is that the mathematical structure of geometric algebra together with its descriptive power will result in intuitive and more robust algorithms.

This book examines all aspects essential for a successful application of geometric algebra: the theoretical foundations, the representation of geometric constraints, and the numerical estimation from uncertain data. Formally, the book consists of two parts: theoretical foundations and applications. The first part includes chapters on random variables in geometric algebra, linear estimation methods that incorporate the uncertainty of algebraic elements, and the representation of geometry in Euclidean, projective, conformal and conic space. The second part is dedicated to applications of geometric algebra, which include uncertain geometry and transformations, a generalized camera model, and pose estimation.

Graduate students, scientists, researchers and practitioners will benefit from this book. The examples given in the text are mostly recent research results, so practitioners can see how to apply geometric algebra to real tasks, while researchers note starting points for future investigations. Students will profit from the detailed introduction to geometric algebra, while the text is supported by the author’s visualization software, CLUCalc, freely available online, and a website that includes downloadable exercises, slides and tutorials.

Written for:

Scientists and practitioners, graduate and some undergraduate students

Keywords:
  • Algebra
  • Applied mathematics
  • CLUCalc
  • Computer graphics
  • Computer vision
  • Geometric algebra
  • Geometric computing
  • Geometry
  • Inversion camera model
  • Machine vision
  • Pose estimation
  • Pythagorean-hodographs
  • Robotics
  • Uncertain geometry
  • Versor functions
  • Visualization

My book on Geometric Algebra will be available at Springer from December 2008.

Here you can download a set of CLUScripts that visualize various figures from the book. This allows you to interact with the visualizations directly and look at 3D figures from any perspective you want.

Source: Email by C. Perwass (09/12/2008 20:20), http://clucalc.info/ and http://www.springer.com/computer/computer+imaging/book/978-3-540-89067-6

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