diff --git a/Article/notions.tex b/Article/notions.tex index f1a863f05f286769d1d48fa8612ef02fc8187340..9d976bebb7511f1c439cb7a5a669229b0d827c65 100755 --- a/Article/notions.tex +++ b/Article/notions.tex @@ -192,10 +192,13 @@ of the blurred segment computed at the former position $i$. The adaptive directional scan $ADS$ is then defined by : \begin{equation} %S_i = \mathcal{D}_{i-1} \cap \mathcal{N}_i -ADS = \left\{ S_i = \mathcal{D}_i \cap \mathcal{N}_i \cap \mathcal{I} | -\delta(\mathcal{N}_i) = - \delta^{-1}(\mathcal{D}_0) -\cap h_0(\mathcal{N}_i) = h_0(\mathcal{N}_{i-1}) + p(\mathcal{D}) -\cap \mathcal{D}_{i+1} = d (\mathcal{B}_i,\varepsilon) \right\} +ADS = \left\{ +S_i = \mathcal{D}_i \cap \mathcal{N}_i \cap \mathcal{I} +\left| \begin{array}{l} +\delta(\mathcal{N}_i) = - \delta^{-1}(\mathcal{D}_0) \\ +\cap h_0(\mathcal{N}_i) = h_0(\mathcal{N}_{i-1}) + p(\mathcal{D}) \\ +\cap \mathcal{D}_{i+1} = d (\mathcal{B}_i,\varepsilon) +\end{array} \right. \right\} \end{equation} The last clause expresses the update of the scan bounds at step $i+1$. Compared to static directional scans, the scan strip moves while