↓ Skip to main content

Applications of Geometric Algebra in Computer Science and Engineering

Overview of attention for book
Cover of 'Applications of Geometric Algebra in Computer Science and Engineering'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Point Groups and Space Groups in Geometric Algebra
  3. Altmetric Badge
    Chapter 2 The Inner Products of Geometric Algebra
  4. Altmetric Badge
    Chapter 3 Unification of Grassmann’s Progressive and Regressive Products using the Principle of Duality
  5. Altmetric Badge
    Chapter 4 From Unoriented Subspaces to Blade Operators
  6. Altmetric Badge
    Chapter 5 Automated Theorem Proving in the Homogeneous Model with Clifford Bracket Algebra
  7. Altmetric Badge
    Chapter 6 Rotations in n Dimensions as Spherical Vectors
  8. Altmetric Badge
    Chapter 7 Geometric and Algebraic Canonical Forms
  9. Altmetric Badge
    Chapter 8 Functions of Clifford Numbers or Square Matrices
  10. Altmetric Badge
    Chapter 9 Compound Matrices and Pfaffians: A Representation of Geometric Algebra
  11. Altmetric Badge
    Chapter 10 Analysis Using Abstract Vector Variables
  12. Altmetric Badge
    Chapter 11 A Multivector Data Structure for Differential Forms and Equations
  13. Altmetric Badge
    Chapter 12 Jet Bundles and the Formal Theory of Partial Differential Equations
  14. Altmetric Badge
    Chapter 13 Imaginary eigenvalues and complex eigenvectors explained by real geometry
  15. Altmetric Badge
    Chapter 14 Symbolic Processing of Clifford Numbers in C++
  16. Altmetric Badge
    Chapter 15 Clifford Numbers and their Inverses Calculated using the Matrix Representation
  17. Altmetric Badge
    Chapter 16 A Toy Vector Field Based on Geometric Algebra
  18. Altmetric Badge
    Chapter 17 Quadratic Transformations in the Projective Plane
  19. Altmetric Badge
    Chapter 18 Annihilators of Principal Ideals in the Grassmann Algebra
  20. Altmetric Badge
    Chapter 19 Homogeneous Rigid Body Mechanics with Elastic Coupling
  21. Altmetric Badge
    Chapter 20 Analysis of One and Two Particle Quantum Systems using Geometric Algebra
  22. Altmetric Badge
    Chapter 21 Interaction and Entanglement in the Multiparticle Spacetime Algebra
  23. Altmetric Badge
    Chapter 22 Laws of Reflection from Two or More Plane Mirrors in Succession
  24. Altmetric Badge
    Chapter 23 Exact Kinetic Energy Operators for Polyatomic Molecules
  25. Altmetric Badge
    Chapter 24 Geometry of Quantum Computing by Hamiltonian Dynamics of Spin Ensembles
  26. Altmetric Badge
    Chapter 25 Is the Brain a ‘Clifford Algebra Quantum Computer’?
  27. Altmetric Badge
    Chapter 26 A Hestenes Spacetime Algebra Approach to Light Polarization
  28. Altmetric Badge
    Chapter 27 Quaternions, Clifford Algebra and Symmetry Groups
  29. Altmetric Badge
    Chapter 28 A Generic Framework for Image Geometry
  30. Altmetric Badge
    Chapter 29 Color Edge Detection Using Rotors
  31. Altmetric Badge
    Chapter 30 Numerical Evaluation of Versors with Clifford Algebra
  32. Altmetric Badge
    Chapter 31 The Role of Clifford Algebra in Structure-Preserving Transformations for Second-Order Systems
  33. Altmetric Badge
    Chapter 32 Applications of Algebra of Incidence in Visually Guided Robotics
  34. Altmetric Badge
    Chapter 33 Monocular Pose Estimation of Kinematic Chains
  35. Altmetric Badge
    Chapter 34 Stabilization of 3D Pose Estimation
  36. Altmetric Badge
    Chapter 35 Inferring Dynamical Information from 3D Position Data using Geometric Algebra
  37. Altmetric Badge
    Chapter 36 Clifford Algebra Space Singularities of Inline Planar Platforms
  38. Altmetric Badge
    Chapter 37 Fast Quantum Fourier-Heisenberg-Weyl Transforms
  39. Altmetric Badge
    Chapter 38 The Structure Multivector
  40. Altmetric Badge
    Chapter 39 The Application of Clifford Algebra to Calculations of Multicomponent Chemical Composition
  41. Altmetric Badge
    Chapter 40 An Algorithm to Solve the Inverse IFS-Problem
  42. Altmetric Badge
    Chapter 41 Fast Quantum n -D Fourier and Radon Transforms
Overall attention for this book and its chapters
Altmetric Badge

Mentioned by

twitter
3 X users
facebook
1 Facebook page
wikipedia
1 Wikipedia page

Readers on

mendeley
34 Mendeley
You are seeing a free-to-access but limited selection of the activity Altmetric has collected about this research output. Click here to find out more.
Title
Applications of Geometric Algebra in Computer Science and Engineering
Published by
Birkhäuser Boston, December 2012
DOI 10.1007/978-1-4612-0089-5
ISBNs
978-1-4612-6606-8, 978-1-4612-0089-5
Editors

Dorst, Leo, Doran, Chris, Lasenby, Joan

X Demographics

X Demographics

The data shown below were collected from the profiles of 3 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 34 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Hungary 1 3%
India 1 3%
United States 1 3%
Unknown 31 91%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 7 21%
Student > Doctoral Student 5 15%
Other 4 12%
Student > Bachelor 3 9%
Student > Master 2 6%
Other 5 15%
Unknown 8 24%
Readers by discipline Count As %
Engineering 9 26%
Computer Science 5 15%
Physics and Astronomy 4 12%
Materials Science 2 6%
Linguistics 1 3%
Other 5 15%
Unknown 8 24%