Corpus ID: 124816889

A covariant approach to geometry using geometric algebra

  title={A covariant approach to geometry using geometric algebra},
  author={A. Lasenny and Joan Lasenby and Rj Wareham},
  • 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
    A Clifford Algebraic Framework for Coxeter Group Theoretic Computations
    • 12
    • Open Access
    Articulating Space: Geometric Algebra for Parametric Design - Symmetry, Kinematics, and Curvature
    • 7
    • Open Access
    Clifford Algebra Unveils a Surprising Geometric Significance of Quaternionic Root Systems of Coxeter Groups
    • 15
    • Open Access
    Oriented Conformal Geometric Algebra
    • 9
    Inverse Kinematics Solutions Using Conformal Geometric Algebra
    • 12
    • Open Access
    Recent Applications of Conformal Geometric Algebra
    • 22
    • Highly Influenced
    • Open Access
    Expressing Discrete Geometry using the Conformal Model
    • 5
    • Open Access
    Mesh Vertex Pose and Position Interpolation Using Geometric Algebra
    • 19
    • Open Access


    Publications referenced by this paper.