13 THE CONFORMAL MODEL: OPERATIONAL EUCLIDEAN GEOMETRY

In the previous chapters, we studied the geometric algebra version of the homogeneous model. The homogeneous model of Euclidean geometry is reasonably effective since it linearizes Euclidean transformations, and geometric algebra extends the classical homogeneous coordinate techniques nicely through its outermorphisms. However, we remarked that we were not able to use the full metric products of geometric algebra, since the metric of the model was only indirectly related to the metric of the Euclidean space we had wanted to model.

Fortunately, we can do better. In the next few chapters, we present the new conformal model for Euclidean geometry, which can represent Euclidean transformations ...

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