Let $\Sigma$ be a complete fan in $N_{\mathbb{R}}$ and let $\Psi$ be a virtual support function on $\Sigma$. Then $\Sigma$ is a complete SCR polyhedral complex in $N_{\mathbb{R}}$ and $\Psi$ is a rational piecewise affine function on $\Sigma$. Then $({\mathcal{X}}_{{\Sigma}},D_{\Psi})$ is a model over $S$ of $(X_{\Sigma},D_{\Psi})$, which is called the canonical model.