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ORCIDGuide to Geometric Algebra in Practice 2011
- Leo Dorst, Joan Lasenby:
Guide to Geometric Algebra in Practice. Springer 2011, ISBN 978-0-85729-810-2
Part 1 / Rigid Body Motion
- Anthony N. Lasenby, Robert Lasenby, Chris Doran:
Rigid Body Dynamics and Conformal Geometric Algebra. 3-24 - Robert Valkenburg, Leo Dorst:
Estimating Motors from a Variety of Geometric Data in 3D Conformal Geometric Algebra. 25-45 - Andreas Aristidou
, Joan Lasenby:
Inverse Kinematics Solutions Using Conformal Geometric Algebra. 47-62 - Daniel Fontijne, Leo Dorst:
Reconstructing Rotations and Rigid Body Motions from Exact Point Correspondences Through Reflections. 63-78
Part 2 / Interpolation and Tracking
- Leo Dorst, Robert Valkenburg:
Square Root and Logarithm of Rotors in 3D Conformal Geometric Algebra Using Polar Decomposition. 81-104 - Liam Candy, Joan Lasenby:
Attitude and Position Tracking. 105-125 - Robert Valkenburg, Nawar Alwesh:
Calibration of Target Positions Using Conformal Geometric Algebra. 127-148
Part 3 / Image Processing
- Eduardo Bayro-Corrochano, Eduardo Ulises Moya-Sánchez:
Quaternion Atomic Function for Image Processing. 151-173 - José Mennesson, Christophe Saint-Jean, Laurent Mascarilla:
Color Object Recognition Based on a Clifford Fourier Transform. 175-191
Part 4 / Theorem Proving and Combinatorics
- Hongbo Li, Yuanhao Cao:
On Geometric Theorem Proving with Null Geometric Algebra. 195-215 - Philippe Serré, Nabil Anwer, Jian-Xin Yang:
On the Use of Conformal Geometric Algebra in Geometric Constraint Solving. 217-232 - René Schott, G. Stacey Staples:
On the Complexity of Cycle Enumeration for Simple Graphs. 233-249
Part 5 / Applications of Line Geometry
- Hongbo Li, Lixian Zhang:
Line Geometry in Terms of the Null Geometric Algebra over ℝ3, 3, and Application to the Inverse Singularity Analysis of Generalized Stewart Platforms. 253-272 - Lilian Aveneau, Sylvain Charneau, Laurent Fuchs, Frédéric Mora:
A Framework for n-Dimensional Visibility Computations. 273-294
Part 6 / Alternatives to Conformal Geometric Algebra
- Charles Gunn:
On the Homogeneous Model of Euclidean Geometry. 297-327 - Ron Goldman:
A Homogeneous Model for Three-Dimensional Computer Graphics Based on the Clifford Algebra for ℝ3. 329-352 - Glen Mullineux, Leon Simpson:
Rigid-Body Transforms Using Symbolic Infinitesimals. 353-369 - Anthony N. Lasenby:
Rigid Body Dynamics in a Constant Curvature Space and the '1D-up' Approach to Conformal Geometric Algebra. 371-389
Part 7 / Towards Coordinate-Free Differential Geometry
- David Hestenes:
The Shape of Differential Geometry in Geometric Calculus. 393-410 - Elizabeth L. Mansfield, Jun Zhao:
On the Modern Notion of a Moving Frame. 411-434 - Leo Dorst:
Tutorial Appendix: Structure Preserving Representation of Euclidean Motions Through Conformal Geometric Algebra. 435-453
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