Dorst, Leo

Guide to Geometric Algebra in Practice

Dorst, Leo - Guide to Geometric Algebra in Practice, ebook


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ISBN: 9780857298119
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Table of contents

1. Rigid Body Dynamics and Conformal Geometric Algebra
Anthony Lasenby, Robert Lasenby, Chris Doran

2. Estimating Motors from a Variety of Geometric Data in 3D Conformal Geometric Algebra
Robert Valkenburg, Leo Dorst

3. Inverse Kinematics Solutions Using Conformal Geometric Algebra
Andreas Aristidou, Joan Lasenby

4. Reconstructing Rotations and Rigid Body Motions from Exact Point Correspondences Through Reflections
Daniel Fontijne, Leo Dorst

5. Square Root and Logarithm of Rotors in 3D Conformal Geometric Algebra Using Polar Decomposition
Leo Dorst, Robert Valkenburg

6. Attitude and Position Tracking
Liam Candy, Joan Lasenby

7. Calibration of Target Positions Using Conformal Geometric Algebra
Robert Valkenburg, Nawar Alwesh

8. Quaternion Atomic Function for Image Processing
Eduardo Bayro-Corrochano, Eduardo Ulises Moya-Sánchez

9. Color Object Recognition Based on a Clifford Fourier Transform
Jose Mennesson, Christophe Saint-Jean, Laurent Mascarilla

10. On Geometric Theorem Proving with Null Geometric Algebra
Hongbo Li, Yuanhao Cao

11. On the Use of Conformal Geometric Algebra in Geometric Constraint Solving
Philippe Serré, Nabil Anwer, JianXin Yang

12. On the Complexity of Cycle Enumeration for Simple Graphs
René Schott, G. Stacey Staples

13. Line Geometry in Terms of the Null Geometric Algebra over ℝ3,3, and Application to the Inverse Singularity Analysis of Generalized Stewart Platforms
Hongbo Li, Lixian Zhang

14. A Framework for n-Dimensional Visibility Computations
Lilian Aveneau, Sylvain Charneau, Laurent Fuchs, Frederic Mora

15. On the Homogeneous Model of Euclidean Geometry
Charles Gunn

16. A Homogeneous Model for Three-Dimensional Computer Graphics Based on the Clifford Algebra for ℝ3

Ron Goldman

17. Rigid-Body Transforms Using Symbolic Infinitesimals
Glen Mullineux, Leon Simpson

18. Rigid Body Dynamics in a Constant Curvature Space and the ‘1D-up’ Approach to Conformal Geometric Algebra
Anthony Lasenby

19. The Shape of Differential Geometry in Geometric Calculus
David Hestenes

20. On the Modern Notion of a Moving Frame
Elizabeth Mansfield, Jun Zhao

21. Tutorial Appendix: Structure Preserving Representation of Euclidean Motions Through Conformal Geometric Algebra
Leo Dorst

Keywords: Computer Science, Math Applications in Computer Science, Symbolic and Algebraic Manipulation, Computer Graphics, Artificial Intelligence (incl. Robotics), Image Processing and Computer Vision, Computer-Aided Engineering (CAD, CAE) and Design

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17 pages
Information Technology, Telecommunications

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