Conformal geometric algebra

• abstract: In mathematics, with application in computational geometry, conformal geometric algebra (CGA) is the geometric algebra constructed over the resultant space of a projective map from an n-dimensional Euclidean or pseudo-Euclidean base space ℝp,q into ℝp+1,q+1. This allows operations on the n-dimensional space, including rotations, translations and reflections to be represented using versors of the geometric algebra; and it is found that points, lines, planes, circles and spheres gain particularly natural and computationally amenable representations.

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