Corpus ID: 124816889

A covariant approach to geometry using geometric algebra

@inproceedings{Lasenny2004ACA,
  title={A covariant approach to geometry using geometric algebra},
  author={A. Lasenny and Joan Lasenby and Rj Wareham},
  year={2004}
}
  • A. Lasenny, Joan Lasenby, Rj Wareham
  • Published 2004
  • Computer Science
  • This report aims to show that using the mathematical framework of conformal geometric algebra – a 5-dimensional representation of 3-dimensional space – we are able to provide an elegant covariant approach to geometry. In this language, objects such as spheres, circles, lines and planes are simply elements of the algebra and can be transformed and intersected with ease. In addition, rotations, translation, dilations and inversions all become rotations in our 5-dimensional space; we will show how… CONTINUE READING
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    References

    SHOWING 1-10 OF 17 REFERENCES
    Distance geometry and geometric algebra
    • 49
    New Geometric Methods for Computer Vision: An Application to Structure and Motion Estimation
    • 96
    Surface Evolution and Representation using Geometric Algebra
    • 11
    Geometric Algebra for Physicists
    • 740
    • PDF
    Analysis and Computation of Projective Invariants from Multiple Views in the Geometric Algebra Framework
    • 28
    • PDF