X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/canny.git/blobdiff_plain/bd2fce977129b24b117509715dada6f0c0a0f98a..8a7410beb8e5821fa7764d6fdc6843effeed1e0e:/ourapproach.tex

diff --git a/ourapproach.tex b/ourapproach.tex
index f9ca3d1..36fefc3 100644
--- a/ourapproach.tex
+++ b/ourapproach.tex
@@ -3,7 +3,7 @@ four main steps: the data encryption (Sect.~\ref{sub:bbs}),
 the cover pixel selection (Sect.~\ref{sub:edge}),
 the adaptive payload considerations (Sect.~\ref{sub:adaptive}),
 and how the distortion has been minimized (Sect.~\ref{sub:stc}).
-The message extraction is then presented  (Sect.~\ref{sub:extract}) while a running example ends this section (Sect.~\ref{sub:xpl}). 
+The message extraction is then presented  (Sect.~\ref{sub:extract}) while a running example ends this section.
 
 
 The flowcharts given in Fig.~\ref{fig:sch}
@@ -48,6 +48,8 @@ Let us first focus on the data embedding.
 
 
 \subsection{Security considerations}\label{sub:bbs}
+To provide a self-contained article without any bias, we shor\-tly 
+present the selected encryption process.
 Among the methods of  message encryption/decryption 
 (see~\cite{DBLP:journals/ejisec/FontaineG07} for a survey)
 we implement the asymmetric 
@@ -202,20 +204,20 @@ states whether a given pixel is an edge or not.
 In this article, in the Adaptive strategy 
 we consider that all the edge pixels that 
 have been selected by this algorithm have the same
-distortion cost \textit{i.e.} $\rho_X$ is always 1 for these bits. 
+distortion cost, \textit{i.e.}, $\rho_X$ is always 1 for these bits. 
 In the Fixed strategy, since pixels that are detected to be edge
-with small values of $T$ (e.g. when $T=3$) 
+with small values of $T$ (e.g., when $T=3$) 
 are more accurate than these with higher values of $T$,
 we give to STC the following distortion map of the corresponding bits
 $$  
 \rho_X= \left\{ 
 \begin{array}{l}
-1 \textrm{ if an edge for $T=3$} \\
-10 \textrm{ if an edge for $T=5$} \\
-100 \textrm{ if an edge for $T=7$}
+1 \textrm{ if an edge for $T=3$,} \\
+10 \textrm{ if an edge for $T=5$,} \\
+100 \textrm{ if an edge for $T=7$.}
 \end{array}
 \right.
-$$.
+$$