From cf9aea52c4f76b8db484c0de2403629f1d6288e7 Mon Sep 17 00:00:00 2001
From: even <philippe.even@loria.fr>
Date: Sat, 15 Dec 2018 17:19:27 +0100
Subject: [PATCH] Article : scissed equation
---
Article/notions.tex | 11 +++++++----
1 file changed, 7 insertions(+), 4 deletions(-)
diff --git a/Article/notions.tex b/Article/notions.tex
index f1a863f..9d976be 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
--
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