A 1d Up Approach to Conformal Geometric Algebra: Applications in Line Fitting and Quantum Mechanics

  title={A 1d Up Approach to Conformal Geometric Algebra: Applications in Line Fitting and Quantum Mechanics},
  author={Anthony N. Lasenby},
  journal={Advances in Applied Clifford Algebras},
  • A. Lasenby
  • Published 22 February 2020
  • Mathematics
  • Advances in Applied Clifford Algebras
We discuss an alternative approach to the conformal geometric algebra (CGA) in which just a single extra dimension is necessary, as compared to the two normally used. This is made possible by working in a constant curvature background space, rather than the usual Euclidean space. A possible benefit, which is explored here, is that it is possible to define cost functions for geometric object matching in computer vision that are fully covariant, in particular invariant under both rotations and… 
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