Geometric Computing with Clifford Algebras Theoretical Foundations and Applications in Computer Vision and Robotics

Geometric Computing with Clifford Algebras Theoretical Foundations and Applications in Computer Vision and Robotics / edited by Gerald Sommer.

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 differen...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Sommer, Gerald (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
Edition:1st ed. 2001.
Series:Springer eBook Collection.
Subjects:
Optical data processing.
Computer graphics.
Artificial intelligence.
Computer science—Mathematics.
Algebraic geometry.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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.

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