Generalized homogeneous coordinates for computational geometry

@inproceedings{Li2001GeneralizedHC,
  title={Generalized homogeneous coordinates for computational geometry},
  author={Hongbo Li and D. Hestenes and A. 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… Expand
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References

SHOWING 1-10 OF 18 REFERENCES
Distance geometry and geometric algebra
New Foundation of Euclidean Geometry
The design of linear algebra and geometry
Distance Geometry: Theory, Algorithms, and Chemical Applications
Hyperbolic Geometry with Clifford Algebra
Projective geometry with Clifford algebra
Space-time algebra
Grassmann’s Vision
...
1
2
...