relecture/prop section 3

Article/methodV2.tex

@@ -160,7 +160,7 @@ a director vector and a width observed at iteration $i$.
 In the scope of the present detector, $C_{i-1}$ is the intersection of
 the input selection and the central line of $\mathcal{B}_{i-1}$,
 $\vec{D}_{i-1}$ the support vector of the enclosing digital segment 
-$E(\mathcal{B}_{i-1})$, and $w_{i-1}$ a value slightly greater than the
+$\mathcal{B}_{i-1}$, and $w_{i-1}$ a value slightly greater than the
 minimal width of $\mathcal{B}_{i-1}$.
 So the last clause expresses the update of the scan bounds at iteration $i$.
 Compared to static directional scans where the scan strip remains fixed to
@@ -268,7 +268,7 @@ $2~\varepsilon_{ini}$, and $M_j$ is used as start point of the blurred
 segment;
 \item the occupancy mask is filled in with the points of the dilated blurred
 segments $\mathcal{B}_j'$ at the end of each successful detection
-(a 21 pixels neighborhood is used);
+(a $5 \times 5$ octogonal neighborhood region of 21 pixels is used);
 \item points marked as occupied are rejected when selecting candidates for the
 blurred segment extension in the fine tracking step.
 \end{enumerate}
@@ -285,7 +285,7 @@ swept in both directions, vertical then horizontal, from the center to
 the borders. At each position, the multi-detection algorithm is run
 to collect all the segments found under the stroke.
 Then small blurred segments are rejected in order to avoid the formation
-of mis-aligned segments when the sweeping stroke crosses an image edge
+of misaligned segments when the sweeping stroke crosses an image edge
 near one of its ends.
 In such situation, any nearby disturbing gradient is likely to deviate
 the blurred segment direction, and its expansion is quickly stopped.