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All talks (except Monday) held in the Cambridge University Engineering Department
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Monday
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| 2.00 - 6.00 | Registration | ||
| 4.00 - 6.00 | A. Rockwood and L. Dorst |
Introduction to Geometric Albebra. Talks based on SIGGRAPH presentations. Held in Newnham College. |
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| 6.00 | Reception | ||
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Tuesday
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Algebra and Geometry | ||
| 9.00 - 9.10 | C. Doran | Welcoming Address | |
| 9.10 - 10.00 | D. Hestenes | Point groups and space groups in geometric algebra | Abstract |
| 10.00 - 10.30 | L. Dorst | The inner products of geometric algebra | Abstract |
| 10.30 - 11.00 | W. Baylis | Rotations in n dimensions as spherical vectors | Abstract |
| 11.00 - 11.30 | Coffee | ||
| 11.30 - 12.00 | T. Bouma | From unoriented subspaces to blade operators | Abstract |
| 12.00 - 12.30 | N. Gordon | Geometric and Algebraic Canonical Forms | Abstract |
| 12.30 - 1.00 | J. Snygg | Functions of Clifford numbers or square matrices | Abstract |
| Lunch | |||
| 3.00 - 3.30 | C. Koc | Annihilators of Principal Ideals in the Grassmann Algebra | |
| 3.30 - 4.00 | U. Prells | Compound Matrices and Pfaffians: A representation of Geometric Algebra | Abstract |
| 4.00 - 4.30 | A. Rockwood | A toy vector field based on geometric algebra | Abstract |
| 4.30 - 5.00 | Tea | ||
| 5.00 - 5.30 | H. Li | Automated geometric theorem proving in the homogeneous model with Clifford bracket algebra | Abstract |
| 5.30 - 6.00 | F. Sommen | Analysis using abstract vector variables | Abstract |
| 6.00 - 6.30 | R. Baker | Jet Bundles and the Formal Theory of Partial Differential Equations | Abstract |
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Wednesday
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Physics | ||
| 9.00 - 9.30 | M Derome | Laws of reflection from two or more plane mirrors in succession | Abstract |
| 9.30 - 10.00 | J. Pesonen | Exact kinetic energy operators for polyatomic molecules | Abstract |
| 10.00 - 10.30 | D. Hestenes | Homogeneous rigid body mechanics with elastic coupling | Abstract |
| 10.30 - 11.00 | P. Girard | Quaternions, Clifford algebra and symmetry groups | Abstract |
| 11.00 - 11.30 | Coffee | ||
| 11.30 - 12.00 | A. Lasenby | Wavefront propagation, ray tracing and scattering using geometric algebra | Abstract |
| 12.00 - 12.30 | Q. Sugon | A Hestenes spacetime algebra aproach to light polarization | Abstract |
| 12.30 - 1.00 | N. Marchuk | A tensor form of the Dirac equation | Abstract |
| Lunch | |||
| 2.30 - 3.45 |
Posters
+ Demos
Held in the Engineering Department |
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| S. Blake | Unification of Grassmann's progressive and regressive products using the principle of duality | Abstract | |
| E. Hitzer | Imaginary Eigenvalues and Complex Eigenvectors Explained by Real Geometry | Abstract | |
| E. Hocevar | An algorithm to solve the inverse IFS problem | Abstract | |
| V. Labunets | Fast quantum nD Fourier and Radon transforms | Abstract | |
| J. Fletcher | Symbolic processing of Clifford Numbers in C++ | Abstract | |
| J. Fletcher | Clifford Numbers and their inverses calculated using the matrix representation | Abstract | |
| J. Lasenby | Using multivector calculus for bivector tracking | Abstract | |
| G. Georgiev | Quadratic transformations in the projective plane | Abstract | |
| V. Shapiro | A multivector data structure for differential forms and equations | Abstract | |
| 3.45 - 4.15 | Tea | ||
| 4.15 - 4.45 | R. Parker | Analysis of one and two particle quantum systems using geometric algebra | Abstract |
| 4.45 - 5.30 | T. Havel | Interaction and Entanglement in the Multiparticle Space-Time Algebra | Abstract |
| 5.30 - 6.00 | T. Schulte-Herbrueggen | Geometry of quantum computing by Hamiltonian dynamics of spin ensembles | Abstract |
| 6.00 - 6.30 | V. Labunets | Is the Brain a 'Clifford Algebra Quantum Computer'? | Abstract |
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Thursday
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Computer Vision and Robotics | ||
| 9.00 - 10.00 | J. Koenderink | A generic framework for image geometry | Abstract |
| 10.00 - 10.30 | E. Bayro-Corrochano | Applications of algebra of incidence in visually guided robotics | Abstract |
| 10.30 - 11.00 | C. Perwass | Numerical evaluation of versors with Clifford algebra | Abstract |
| 11.00 - 11.30 | Coffee | ||
| 11.30 - 12.00 | S. Gamage | Inferring dynamical information from 3D position data using geometric algebra | Abstract |
| 12.00 - 12.30 | E. Rosenhahn | Monocular Pose Estimation of Kinematic Chains | Abstract |
| 12.30 - 1.00 | W. Neddermeyer | Stabilization of 3-dimensional pose estimation | Abstract |
| Lunch | |||
| Conference Excursion | |||
| 7.30 | Conference Dinner | ||
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Friday
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Signal Processing and Other Applications | ||
| 9.00 - 9.30 | V. Labunets | Fast Quantum Fourier-Heisenberg-Weyl Transforms | Abstract |
| 9.30 - 10.00 | M. Felsberg | The structure multivector | Abstract |
| 10.00 - 10.30 | M. Baswell | Clifford Algebra Space Singularities of Inline Planar Platforms | Abstract |
| 10.30 - 11.00 | S. Garvey | The Role of Clifford Algebra in Structure-Preserving Transformations for Second Order Systems | Abstract |
| 11.00 - 11.30 | Coffee | ||
| 11.30 - 12.00 | J. Fletcher | The application of Clifford algebra to calculations of multicomponent chemical composition | Abstract |
| 12.00 - 12.30 | E. Ho | An algebraic view of the FFT | Abstract |
| 12.30 - 1.00 | E. Bayro-Corrochano | Color edge detection using rotors | Abstract |
| Lunch | |||
| Depart |