Generalized homogeneous coordinates for computational geometry

@inproceedings{Li2001GeneralizedHC,
  title={Generalized homogeneous coordinates for computational geometry},
  author={Hongbo Li and David Hestenes and Alyn P. Rockwood},
  year={2001}
}
The standard algebraic model for Euclidean space E n is an n-dimensional real vector space ℝ n or, equivalently, a set of real coordinates. One trouble with this model is that, algebraically, the origin is a distinguished element, whereas all the points of E n are identical. This deficiency in the vector space model was corrected early in the 19th century by removing the origin from the plane and placing it one dimension higher. Formally, that was done by introducing homogeneous coordinates… 
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