Definition:Affine Frame/Definition 2

Definition

Let $\EE$ be an affine space with difference space $V$.

An affine frame may be given by the set of $n + 1$ points:

$\tuple {q_0, \ldots, q_n} = \tuple {p_0, p_0 + e_1, \ldots, p_0 + e_n}$

The frame $\tuple {p_0, e_1, \ldots, e_n}$ is then recovered by:

$\tuple {q_0, q_1 - q_0, \ldots, q_n - q_0}$

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