عنوان

Geometric computing with Clifford algebras :

شابک

3662046210

شابک

9783662046210

شماره

b579356

عنوان اصلي

Geometric computing with Clifford algebras :

نام عام مواد

[Book]

ساير اطلاعات عنواني

theoretical foundations and applications in computer vision and robotics

نام نخستين پديدآور

Gerald Sommer (ed.).

محل نشرو پخش و غیره

Berlin ; New York

نام ناشر، پخش کننده و غيره

Springer

تاریخ نشرو بخش و غیره

2010

نام خاص و کميت اثر

(xviii, 551 pages) : illustrations

متن يادداشت

'With 89 figures and 16 tables."

متن يادداشت

1. New Algebraic Tools for Classical Geometry.- 2. Generalized Homogeneous Coordinates for Computational Geometry.- 3. Spherical Conformai Geometry with Geometric Algebra.- 4. A Universal Model for Conformai Geometries of Euclidean, Spherical and Double-Hyperbolic Spaces.- 5. Geo-MAP Unification.- 6. Honing Geometric Algebra for Its Use in the Computer Sciences.- 7. Spatial-Color Clifford Algebras for Invariant Image Recognition.- 8. Non-commutative Hypercomplex Fourier Transforms of Multidimensional Signals.- 9. Commutative Hypercomplex Fourier Transforms of Multidimensional Signals.- 10. Fast Algorithms of Hypercomplex Fourier Transforms.- 11. Local Hypercomplex Signal Representations and Applications.- 12. Introduction to Neural Computation in Clifford Algebra.- 13. Clifford Algebra Multilayer Perceptrons.- 14. A Unified Description of Multiple View Geometry.- 15. 3D-Reconstruction from Vanishing Points.- 16. Analysis and Computation of the Intrinsic Camera Parameters.- 17. Coordinate-Free Projective Geometry for Computer Vision.- 18. The Geometry and Algebra of Kinematics.- 19. Kinematics of Robot Manipulators in the Motor Algebra.- 20. Using the Algebra of Dual Quaternions for Motion Alignment.- 21. The Motor Extended Kalman Filter for Dynamic Rigid Motion Estimation from Line Observations.- References.- Author Index.

متن يادداشت

Clifford algebra, then called geometric algebra, was introduced more than a cenetury ago by William K. Clifford, building on work by Grassmann and Hamilton. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing different geometry-related algebraic systems as specializations of one "mother algebra" in various subfields of physics and engineering. Recent work outlines that Clifford algebra provides a universal and powerfull algebraic framework for an elegant and coherent representation of various problems occuring in computer science, signal processing, neural computing, image processing, pattern recognition, computer vision, and robotics. This monograph-like anthology introduces the concepts and framework of Clifford algebra and provides computer scientists, engineers, physicists, and mathematicians with a rich source of examples of how to work with this formalism.

موضوع مستند نشده

Clifford algebras -- Industrial applications.

موضوع مستند نشده

Clifford algebras.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Gerald Sommer (ed.).

مستند نام اشخاص تاييد نشده

Gerald Sommer

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y