Geometric Computing with Clifford Algebras: Theoretical Foundations and Applications in Computer Vision and Robotics (Hardcover)

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.